Dirac neutrino mass models with a modular S4 symmetry

In this paper, we investigate lepton mass spectra, flavor mixing and CP violation with a modular S4 symmetry under the assumption that neutrinos are Dirac fermions. We find that the Majorana mass term can be forbidden by adjusting the weight of the right-handed neutrino superfields. We study the sce...

Full description

Saved in:
Bibliographic Details
Published inNuclear physics. B Vol. 962; p. 115247
Main Author Wang, Xin
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.01.2021
Elsevier
Online AccessGet full text

Cover

Loading…
Abstract In this paper, we investigate lepton mass spectra, flavor mixing and CP violation with a modular S4 symmetry under the assumption that neutrinos are Dirac fermions. We find that the Majorana mass term can be forbidden by adjusting the weight of the right-handed neutrino superfields. We study the scenarios where modular forms in the neutrino sector take the lowest non-trivial weight two, while those in the charged-lepton sector vary from two to six. The corrections from renormalization-group running effects to our model have also been discussed in detail. We totally obtain twelve different classes of models and find that ten of them can accommodate current neutrino oscillation data.
AbstractList In this paper, we investigate lepton mass spectra, flavor mixing and CP violation with a modular S4 symmetry under the assumption that neutrinos are Dirac fermions. We find that the Majorana mass term can be forbidden by adjusting the weight of the right-handed neutrino superfields. We study the scenarios where modular forms in the neutrino sector take the lowest non-trivial weight two, while those in the charged-lepton sector vary from two to six. The corrections from renormalization-group running effects to our model have also been discussed in detail. We totally obtain twelve different classes of models and find that ten of them can accommodate current neutrino oscillation data.
ArticleNumber 115247
Author Wang, Xin
Author_xml – sequence: 1
  givenname: Xin
  orcidid: 0000-0003-4292-460X
  surname: Wang
  fullname: Wang, Xin
  email: wangx@ihep.ac.cn
  organization: Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China
BookMark eNqFkMtOAyEUhompiW31GZwXmMplhoGFi6bemjRxoa4JMGBp5tIA1czbSx114aZsTviT78853wxMur4zAFwjuEAQ0ZvdojvoZr8dglpgiFOKSlxUZ2CKWEVyVFI8AVNYljAnGJELMAthB9OjhE1Beee81FlnDtG7rs9aGULW9rVpQvbp4jaTx9-hkT57KbIwtK2JfrgE51Y2wVz9zDl4e7h_XT3lm-fH9Wq5yXVBYMyZqRXXDFqIECW4wNYoLZktecEolYRCXltEqFWUM8WIQjWFSCUM8UqlYA7WY2_dy53Ye9dKP4heOvEd9P5dSB-dboyoiKRKQm0pNQUvOWOYlTpdXFnMtOGp63bs0r4PwRsrtIsyur6LXrpGICiOPsVO_PkUR59i9Jn46h__u89pcjmSSar5cMaLoJ3ptKmdNzqmW9zJji_OrJZy
CitedBy_id crossref_primary_10_1103_PhysRevD_103_076005
crossref_primary_10_1103_PhysRevD_106_035001
crossref_primary_10_1103_PhysRevD_102_115035
crossref_primary_10_1007_JHEP03_2021_002
crossref_primary_10_1103_PhysRevD_104_076001
crossref_primary_10_1103_PhysRevD_104_115015
crossref_primary_10_1142_S0217751X24500271
crossref_primary_10_1007_JHEP01_2023_125
crossref_primary_10_1007_JHEP04_2021_239
crossref_primary_10_1016_j_ppnp_2024_104126
crossref_primary_10_1103_PhysRevD_104_055034
crossref_primary_10_1007_JHEP11_2021_007
crossref_primary_10_1007_JHEP03_2022_123
crossref_primary_10_1142_S0217751X24501458
crossref_primary_10_1007_JHEP09_2023_043
crossref_primary_10_1007_JHEP10_2022_071
crossref_primary_10_1103_PhysRevD_110_035004
crossref_primary_10_1007_JHEP10_2021_238
crossref_primary_10_1007_JHEP05_2021_102
crossref_primary_10_1051_epjconf_202431202010
crossref_primary_10_1103_PhysRevD_103_095013
crossref_primary_10_1142_S0217751X24410124
crossref_primary_10_1007_JHEP05_2021_242
crossref_primary_10_1140_epjc_s10052_023_11727_0
crossref_primary_10_1016_j_nuclphysb_2022_115974
crossref_primary_10_1103_PhysRevD_109_035016
crossref_primary_10_1007_JHEP07_2021_093
crossref_primary_10_1016_j_nuclphysb_2022_115793
crossref_primary_10_1007_JHEP04_2021_291
crossref_primary_10_1103_PhysRevD_103_095032
crossref_primary_10_1103_PhysRevD_105_055022
crossref_primary_10_1007_JHEP01_2023_036
crossref_primary_10_1007_JHEP04_2021_206
crossref_primary_10_1007_JHEP08_2022_013
crossref_primary_10_1016_j_nuclphysb_2024_116666
crossref_primary_10_1088_1475_7516_2022_08_076
crossref_primary_10_1007_JHEP05_2024_020
crossref_primary_10_1007_JHEP09_2023_196
crossref_primary_10_1088_1361_6633_ad52a3
Cites_doi 10.1016/S0550-3213(99)00377-6
10.1103/PhysRevD.65.024032
10.1103/PhysRevD.99.046001
10.1016/j.physletb.2019.05.034
10.1016/j.physletb.2019.04.043
10.1103/PhysRevD.102.026004
10.1088/0034-4885/76/5/056201
10.21468/SciPostPhys.5.5.042
10.1016/0550-3213(84)90533-9
10.1103/PhysRevD.98.016004
10.1016/j.physletb.2019.135153
10.1016/j.ppnp.2017.01.003
10.1103/PhysRevD.98.030001
10.1103/PhysRevD.101.015001
10.1016/j.physletb.2020.135294
10.1016/j.nuclphysb.2020.115216
10.1038/ncomms6153
10.1146/annurev-nucl-101918-023407
10.1143/PTPS.183.1
10.1103/RevModPhys.82.2701
10.1103/PhysRevD.100.115045
10.1016/j.physletb.2019.02.028
10.1103/PhysRevD.100.115037
10.1016/j.nuclphysb.2020.115105
10.1103/PhysRevD.101.015028
10.1103/PhysRevD.102.085008
10.1103/PhysRevLett.58.1600
10.1103/PhysRevD.101.115020
10.1103/PhysRevD.100.115005
10.1103/PhysRevD.9.2259
10.1016/j.nuclphysb.2020.114935
10.1016/j.physrep.2020.02.001
10.1103/PhysRevD.102.035019
10.1016/j.nuclphysb.2020.115098
10.1016/j.nuclphysb.2018.12.016
10.1103/PhysRevD.101.106017
10.1016/j.physletb.2015.09.010
10.1103/PhysRevLett.123.221802
10.1088/1367-2630/16/4/045018
10.1016/j.physletb.2019.134799
10.1016/j.physletb.2014.12.049
10.1103/PhysRevD.101.055046
10.1103/PhysRevD.101.055033
10.1140/epjc/s10052-019-7441-9
ContentType Journal Article
Copyright 2020 The Author(s)
Copyright_xml – notice: 2020 The Author(s)
DBID 6I.
AAFTH
AAYXX
CITATION
DOA
DOI 10.1016/j.nuclphysb.2020.115247
DatabaseName ScienceDirect Open Access Titles
Elsevier:ScienceDirect:Open Access
CrossRef
DOAJ Directory of Open Access Journals
DatabaseTitle CrossRef
DatabaseTitleList

Database_xml – sequence: 1
  dbid: DOA
  name: DOAJ Directory of Open Access Journals
  url: https://www.doaj.org/
  sourceTypes: Open Website
DeliveryMethod fulltext_linktorsrc
Discipline Physics
EISSN 1873-1562
ExternalDocumentID oai_doaj_org_article_73a6ba0cf66e495988285c3217f28ce9
10_1016_j_nuclphysb_2020_115247
S0550321320303321
GroupedDBID --K
--M
-~X
.~1
0R~
0SF
123
186
1B1
1RT
1~.
1~5
29N
4.4
457
4G.
5VS
6I.
6TJ
7-5
71M
8P~
8WZ
9JN
A6W
AACTN
AAEDT
AAEDW
AAFTH
AAIAV
AAIKJ
AAKOC
AALRI
AAOAW
AAQFI
AAQXK
AAXUO
ABAOU
ABFNM
ABMAC
ABNEU
ABXDB
ABYKQ
ACAZW
ACDAQ
ACFVG
ACGFS
ACKIV
ACNCT
ACNNM
ACRLP
ADBBV
ADEZE
ADGUI
ADIYS
ADMUD
AEBSH
AEKER
AENEX
AETEA
AEXQZ
AFKWA
AFMIJ
AFTJW
AGHFR
AGUBO
AGYEJ
AHHHB
AIBLX
AIEXJ
AIGVJ
AIKHN
AITUG
AIVDX
AJBFU
AJOXV
ALMA_UNASSIGNED_HOLDINGS
AMFUW
AMRAJ
ARUGR
ASPBG
AVWKF
AXJTR
AZFZN
BCNDV
BKOJK
BLXMC
CS3
DU5
EBS
EFJIC
EFLBG
EJD
EO8
EO9
EP2
EP3
ER.
FDB
FEDTE
FGOYB
FIRID
FNPLU
FYGXN
G-2
G-Q
GBLVA
GROUPED_DOAJ
HME
HVGLF
HZ~
IHE
IPNFZ
IXB
J1W
KOM
KQ8
LZ4
M41
MHUIS
MO0
MVM
N9A
NCXOZ
O-L
O9-
OAUVE
OGIMB
OK1
OZT
P-8
P-9
P2P
PC.
Q38
R2-
RIG
RNS
ROL
RPZ
SDF
SDG
SDP
SES
SEW
SHN
SPC
SPCBC
SPD
SSQ
SSW
SSZ
T5K
TN5
WH7
WUQ
XJT
XPP
YYP
~G-
AAFWJ
AATTM
AAXKI
AAYWO
AAYXX
ABWVN
ACRPL
ACVFH
ADCNI
ADNMO
ADVLN
AEIPS
AEUPX
AFPKN
AFPUW
AFXIZ
AGCQF
AGQPQ
AGRNS
AIGII
AIIUN
AKBMS
AKRWK
AKYEP
ANKPU
BNPGV
CITATION
SSH
EFKBS
ID FETCH-LOGICAL-c430t-8edb9c80f01163242febca8f594866a3609df136fb698b83b1d601b8ed197bb83
IEDL.DBID DOA
ISSN 0550-3213
IngestDate Wed Aug 27 01:31:23 EDT 2025
Thu Apr 24 23:08:44 EDT 2025
Tue Jul 01 01:00:22 EDT 2025
Fri Feb 23 02:47:45 EST 2024
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Language English
License This is an open access article under the CC BY license.
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c430t-8edb9c80f01163242febca8f594866a3609df136fb698b83b1d601b8ed197bb83
ORCID 0000-0003-4292-460X
OpenAccessLink https://doaj.org/article/73a6ba0cf66e495988285c3217f28ce9
ParticipantIDs doaj_primary_oai_doaj_org_article_73a6ba0cf66e495988285c3217f28ce9
crossref_citationtrail_10_1016_j_nuclphysb_2020_115247
crossref_primary_10_1016_j_nuclphysb_2020_115247
elsevier_sciencedirect_doi_10_1016_j_nuclphysb_2020_115247
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate January 2021
2021-01-00
2021-01-01
PublicationDateYYYYMMDD 2021-01-01
PublicationDate_xml – month: 01
  year: 2021
  text: January 2021
PublicationDecade 2020
PublicationTitle Nuclear physics. B
PublicationYear 2021
Publisher Elsevier B.V
Elsevier
Publisher_xml – name: Elsevier B.V
– name: Elsevier
References Chen, Ramos-Sánchez, Ratz (br0690) 2020; 801
Aghanim (br0770)
Kobayashi, Otsuka (br0430) 2020; 102
Okada, Shoji (br0330) 2020; 961
Penedo, Petcov (br0340) 2019; 939
Chang, Mohapatra (br0060) 1987; 58
Asaka, Heo, Tatsuishi, Yoshida (br0320) 2020; 2001
Kobayashi, Otsuka (br0650) 2020; 101
Liu, Ding (br0460) 2019; 1908
Wang, Zhou (br0370) 2020; 05
Altarelli, Feruglio (br0120) 2010; 82
Ding, King, Liu (br0390) 2019; 100
Ohki, Uemura, Watanabe (br0660) 2020; 102
Dolinski, Poon, Rodejohann (br0030) 2019; 69
Tanabashi (br0020) 2018; 98
Ma, Srivastava (br0070) 2015; 741
Novichkov, Penedo, Petcov, Titov (br0350) 2019; 1904
Nomura, Okada (br0280)
Feruglio, Romanino (br0170)
Ding, King, Li, Zhou (br0680) 2020; 08
Zhang (br0550) 2020; 952
Aker (br0750) 2019; 123
Ding, King, Liu, Lu (br0520) 2019; 1912
Novichkov, Penedo, Petcov (br0470)
Okada, Orikasa (br0310)
Kobayashi, Tanaka, Tatsuishi (br0190) 2018; 98
Feruglio (br0180)
Ding, King, Liu (br0290) 2019; 1909
Behera, Mishra, Singirala, Mohanta (br0600)
Lu, Liu, Ding (br0560) 2020; 101
Liu, Yao, Ding (br0480)
King (br0160) 2017; 94
Novichkov, Penedo, Petcov, Titov (br0410) 2019; 1907
Jana, Vishnu, Saad (br0100) 2020; 2004
King, Zhou (br0450) 2020; 101
Kobayashi, Omoto, Shimizu, Takagi, Tanimoto, Tatsuishi (br0230) 2018; 1811
Nilles, Ramos-Sanchez, Vaudrevange (br0640) 2020; 957
Ma, Pollard, Srivastava, Zakeri (br0080) 2015; 750
Okada, Tanimoto (br0530)
Nomura, Okada, Patra (br0580)
Aker (br0760)
King, Luhn (br0140) 2013; 76
Wang (br0590) 2020; 957
Machacek, Vaughn (br0720) 1984; 236
Kobayashi, Tamba (br0620) 2019; 99
Dienes, Dudas, Gherghetta (br0040) 1999; 557
Ohlsson, Zhou (br0700) 2014; 5
Nomura, Okada, Popov (br0300) 2020; 803
Antusch, Maurer (br0730) 2013; 1311
Kobayashi, Shimizu, Takagi, Tanimoto, Tatsuishi (br0490) 2020; 2002
Nilles, Ramos-Sánchez, Vaudrevange (br0630) 2020; 2002
Xing, Zhou (br0010) 2011
Novichkov, Penedo, Petcov, Titov (br0380) 2019; 1904
Okada, Orikasa (br0220) 2019; 100
King, Merle, Morisi, Shimizu, Tanimoto (br0150) 2014; 16
Okada, Orikasa (br0360)
Ishimori, Kobayashi, Ohki, Shimizu, Okada, Tanimoto (br0130) 2010; 183
Criado, Feruglio, King (br0400) 2020; 02
de Medeiros Varzielas, King, Zhou (br0440) 2020; 101
Kobayashi, Shimizu, Takagi, Tanimoto, Tatsuishi (br0500) 2019; 100
Kobayashi, Shimizu, Takagi, Tanimoto, Tatsuishi, Uchida (br0200) 2019; 794
Nomura, Okada (br0270) 2019; 797
Arkani-Hamed, Dimopoulos, Dvali, March-Russell (br0050) 2001; 65
Criado, Feruglio (br0240) 2018; 5
Jana, Vishnu, Saad (br0090) 2019; 79
Kikuchi, Kobayashi, Takada, Tatsuishi, Uchida (br0670)
Xing (br0110) 2020; 854
Nomura, Okada (br0610)
Kobayashi, Shimizu, Takagi, Tanimoto, Tatsuishi (br0210) 2020; 2020
Novichkov, Petcov, Tanimoto (br0510) 2019; 793
de Anda, King, Perdomo (br0250) 2020; 101
Kobayashi, Shimizu, Takagi, Tanimoto, Tatsuishi, Uchida (br0420) 2020; 101
Okada, Tanimoto (br0260) 2019; 791
Kobayashi, Nomura, Shimomura (br0570) 2020; 102
Cheng, Eichten, Li (br0710) 1974; 9
Esteban, Gonzalez-Garcia, Hernandez-Cabezudo, Maltoni, Schwetz (br0740) 2019; 1901
Okada, Tanimoto (br0540)
Altarelli (10.1016/j.nuclphysb.2020.115247_br0120) 2010; 82
Ding (10.1016/j.nuclphysb.2020.115247_br0520) 2019; 1912
Ding (10.1016/j.nuclphysb.2020.115247_br0290) 2019; 1909
King (10.1016/j.nuclphysb.2020.115247_br0140) 2013; 76
Kobayashi (10.1016/j.nuclphysb.2020.115247_br0210) 2020; 2020
Okada (10.1016/j.nuclphysb.2020.115247_br0330) 2020; 961
Aghanim (10.1016/j.nuclphysb.2020.115247_br0770)
Arkani-Hamed (10.1016/j.nuclphysb.2020.115247_br0050) 2001; 65
Machacek (10.1016/j.nuclphysb.2020.115247_br0720) 1984; 236
Dienes (10.1016/j.nuclphysb.2020.115247_br0040) 1999; 557
Kobayashi (10.1016/j.nuclphysb.2020.115247_br0190) 2018; 98
Ding (10.1016/j.nuclphysb.2020.115247_br0390) 2019; 100
Jana (10.1016/j.nuclphysb.2020.115247_br0090) 2019; 79
Asaka (10.1016/j.nuclphysb.2020.115247_br0320) 2020; 2001
Ma (10.1016/j.nuclphysb.2020.115247_br0070) 2015; 741
Esteban (10.1016/j.nuclphysb.2020.115247_br0740) 2019; 1901
Xing (10.1016/j.nuclphysb.2020.115247_br0010) 2011
Kikuchi (10.1016/j.nuclphysb.2020.115247_br0670)
Nomura (10.1016/j.nuclphysb.2020.115247_br0580)
Nilles (10.1016/j.nuclphysb.2020.115247_br0630) 2020; 2002
King (10.1016/j.nuclphysb.2020.115247_br0160) 2017; 94
Kobayashi (10.1016/j.nuclphysb.2020.115247_br0430) 2020; 102
Novichkov (10.1016/j.nuclphysb.2020.115247_br0510) 2019; 793
Kobayashi (10.1016/j.nuclphysb.2020.115247_br0650) 2020; 101
Okada (10.1016/j.nuclphysb.2020.115247_br0260) 2019; 791
Kobayashi (10.1016/j.nuclphysb.2020.115247_br0490) 2020; 2002
Kobayashi (10.1016/j.nuclphysb.2020.115247_br0420) 2020; 101
Kobayashi (10.1016/j.nuclphysb.2020.115247_br0200) 2019; 794
Ohlsson (10.1016/j.nuclphysb.2020.115247_br0700) 2014; 5
Nomura (10.1016/j.nuclphysb.2020.115247_br0610)
de Medeiros Varzielas (10.1016/j.nuclphysb.2020.115247_br0440) 2020; 101
Nilles (10.1016/j.nuclphysb.2020.115247_br0640) 2020; 957
Okada (10.1016/j.nuclphysb.2020.115247_br0530)
Zhang (10.1016/j.nuclphysb.2020.115247_br0550) 2020; 952
Feruglio (10.1016/j.nuclphysb.2020.115247_br0170)
Okada (10.1016/j.nuclphysb.2020.115247_br0360)
Liu (10.1016/j.nuclphysb.2020.115247_br0480)
Kobayashi (10.1016/j.nuclphysb.2020.115247_br0620) 2019; 99
Ohki (10.1016/j.nuclphysb.2020.115247_br0660) 2020; 102
Penedo (10.1016/j.nuclphysb.2020.115247_br0340) 2019; 939
Novichkov (10.1016/j.nuclphysb.2020.115247_br0410) 2019; 1907
Aker (10.1016/j.nuclphysb.2020.115247_br0760)
Ding (10.1016/j.nuclphysb.2020.115247_br0680) 2020; 08
Cheng (10.1016/j.nuclphysb.2020.115247_br0710) 1974; 9
Wang (10.1016/j.nuclphysb.2020.115247_br0590) 2020; 957
Dolinski (10.1016/j.nuclphysb.2020.115247_br0030) 2019; 69
Novichkov (10.1016/j.nuclphysb.2020.115247_br0470)
Lu (10.1016/j.nuclphysb.2020.115247_br0560) 2020; 101
Nomura (10.1016/j.nuclphysb.2020.115247_br0270) 2019; 797
Nomura (10.1016/j.nuclphysb.2020.115247_br0300) 2020; 803
Okada (10.1016/j.nuclphysb.2020.115247_br0220) 2019; 100
Kobayashi (10.1016/j.nuclphysb.2020.115247_br0570) 2020; 102
King (10.1016/j.nuclphysb.2020.115247_br0150) 2014; 16
Criado (10.1016/j.nuclphysb.2020.115247_br0240) 2018; 5
Criado (10.1016/j.nuclphysb.2020.115247_br0400) 2020; 02
Chen (10.1016/j.nuclphysb.2020.115247_br0690) 2020; 801
Feruglio (10.1016/j.nuclphysb.2020.115247_br0180)
Novichkov (10.1016/j.nuclphysb.2020.115247_br0380) 2019; 1904
Novichkov (10.1016/j.nuclphysb.2020.115247_br0350) 2019; 1904
Kobayashi (10.1016/j.nuclphysb.2020.115247_br0230) 2018; 1811
Jana (10.1016/j.nuclphysb.2020.115247_br0100) 2020; 2004
King (10.1016/j.nuclphysb.2020.115247_br0450) 2020; 101
Wang (10.1016/j.nuclphysb.2020.115247_br0370) 2020; 05
Tanabashi (10.1016/j.nuclphysb.2020.115247_br0020) 2018; 98
Chang (10.1016/j.nuclphysb.2020.115247_br0060) 1987; 58
de Anda (10.1016/j.nuclphysb.2020.115247_br0250) 2020; 101
Ishimori (10.1016/j.nuclphysb.2020.115247_br0130) 2010; 183
Behera (10.1016/j.nuclphysb.2020.115247_br0600)
Aker (10.1016/j.nuclphysb.2020.115247_br0750) 2019; 123
Liu (10.1016/j.nuclphysb.2020.115247_br0460) 2019; 1908
Kobayashi (10.1016/j.nuclphysb.2020.115247_br0500) 2019; 100
Ma (10.1016/j.nuclphysb.2020.115247_br0080) 2015; 750
Okada (10.1016/j.nuclphysb.2020.115247_br0310)
Okada (10.1016/j.nuclphysb.2020.115247_br0540)
Antusch (10.1016/j.nuclphysb.2020.115247_br0730) 2013; 1311
Nomura (10.1016/j.nuclphysb.2020.115247_br0280)
Xing (10.1016/j.nuclphysb.2020.115247_br0110) 2020; 854
References_xml – volume: 803
  year: 2020
  ident: br0300
  article-title: A modular
  publication-title: Phys. Lett. B
– volume: 961
  year: 2020
  ident: br0330
  article-title: A radiative seesaw model with three Higgs doublets in modular
  publication-title: Nucl. Phys. B
– volume: 65
  year: 2001
  ident: br0050
  article-title: Neutrino masses from large extra dimensions
  publication-title: Phys. Rev. D
– volume: 1904
  year: 2019
  ident: br0350
  article-title: Modular S
  publication-title: J. High Energy Phys.
– ident: br0760
  article-title: First operation of the KATRIN experiment with tritium
– volume: 98
  year: 2018
  ident: br0190
  article-title: Neutrino mixing from finite modular groups
  publication-title: Phys. Rev. D
– volume: 101
  year: 2020
  ident: br0650
  article-title: Classification of discrete modular symmetries in type IIB flux vacua
  publication-title: Phys. Rev. D
– volume: 5
  start-page: 5153
  year: 2014
  ident: br0700
  article-title: Renormalization group running of neutrino parameters
  publication-title: Nat. Commun.
– volume: 5
  year: 2018
  ident: br0240
  article-title: Modular invariance faces precision neutrino data
  publication-title: SciPost Phys.
– volume: 2004
  year: 2020
  ident: br0100
  article-title: Minimal realizations of Dirac neutrino mass from generic one-loop and two-loop topologies at
  publication-title: J. Cosmol. Astropart. Phys.
– volume: 1912
  year: 2019
  ident: br0520
  article-title: Modular S
  publication-title: J. High Energy Phys.
– volume: 76
  year: 2013
  ident: br0140
  article-title: Neutrino mass and mixing with discrete symmetry
  publication-title: Rep. Prog. Phys.
– ident: br0470
  article-title: Double cover of modular
– volume: 1908
  year: 2019
  ident: br0460
  article-title: Neutrino masses and mixing from double covering of finite modular groups
  publication-title: J. High Energy Phys.
– volume: 236
  start-page: 221
  year: 1984
  ident: br0720
  article-title: Two loop renormalization group equations in a general quantum field theory. 2. Yukawa couplings
  publication-title: Nucl. Phys. B
– volume: 750
  start-page: 135
  year: 2015
  ident: br0080
  article-title: Gauge
  publication-title: Phys. Lett. B
– volume: 102
  year: 2020
  ident: br0660
  article-title: Modular flavor symmetry on a magnetized torus
  publication-title: Phys. Rev. D
– volume: 79
  start-page: 916
  year: 2019
  ident: br0090
  article-title: Minimal Dirac neutrino mass models from
  publication-title: Eur. Phys. J. C
– volume: 1907
  year: 2019
  ident: br0410
  article-title: Generalised CP symmetry in modular invariant models of flavour
  publication-title: J. High Energy Phys.
– volume: 100
  year: 2019
  ident: br0500
  article-title: lepton flavor model and modulus stabilization from
  publication-title: Phys. Rev. D
– volume: 69
  start-page: 219
  year: 2019
  ident: br0030
  article-title: Neutrinoless double-beta decay: status and prospects
  publication-title: Annu. Rev. Nucl. Part. Sci.
– ident: br0580
  article-title: An inverse seesaw model with
– volume: 123
  year: 2019
  ident: br0750
  article-title: Improved upper limit on the neutrino mass from a direct kinematic method by KATRIN
  publication-title: Phys. Rev. Lett.
– ident: br0280
  article-title: A two loop induced neutrino mass model with modular
– volume: 957
  year: 2020
  ident: br0640
  article-title: Lessons from eclectic flavor symmetries
  publication-title: Nucl. Phys. B
– ident: br0770
  article-title: Planck 2018 results. VI. Cosmological parameters
– volume: 102
  year: 2020
  ident: br0430
  article-title: Challenge for spontaneous
  publication-title: Phys. Rev. D
– volume: 100
  year: 2019
  ident: br0220
  article-title: Modular
  publication-title: Phys. Rev. D
– volume: 741
  start-page: 217
  year: 2015
  ident: br0070
  article-title: Dirac or inverse seesaw neutrino masses with
  publication-title: Phys. Lett. B
– volume: 1811
  year: 2018
  ident: br0230
  publication-title: J. High Energy Phys.
– volume: 101
  year: 2020
  ident: br0420
  article-title: violation in modular invariant flavor models
  publication-title: Phys. Rev. D
– volume: 02
  year: 2020
  ident: br0400
  article-title: Modular invariant models of lepton masses at levels 4 and 5
  publication-title: J. High Energy Phys.
– volume: 99
  year: 2019
  ident: br0620
  article-title: Modular forms of finite modular subgroups from magnetized D-brane models
  publication-title: Phys. Rev. D
– volume: 9
  start-page: 2259
  year: 1974
  ident: br0710
  article-title: Higgs phenomena in asymptotically free gauge theories
  publication-title: Phys. Rev. D
– volume: 801
  year: 2020
  ident: br0690
  article-title: A note on the predictions of models with modular flavor symmetries
  publication-title: Phys. Lett. B
– volume: 854
  start-page: 1
  year: 2020
  ident: br0110
  article-title: Flavor structures of charged fermions and massive neutrinos
  publication-title: Phys. Rep.
– volume: 794
  start-page: 114
  year: 2019
  ident: br0200
  article-title: Finite modular subgroups for fermion mass matrices and baryon/lepton number violation
  publication-title: Phys. Lett. B
– ident: br0480
  article-title: Modular invariant quark and lepton models in double covering of
– volume: 16
  year: 2014
  ident: br0150
  article-title: Neutrino mass and mixing: from theory to experiment
  publication-title: New J. Phys.
– volume: 797
  year: 2019
  ident: br0270
  article-title: A modular
  publication-title: Phys. Lett. B
– volume: 101
  year: 2020
  ident: br0440
  article-title: Multiple modular symmetries as the origin of flavor
  publication-title: Phys. Rev. D
– volume: 102
  year: 2020
  ident: br0570
  article-title: Type II seesaw models with modular
  publication-title: Phys. Rev. D
– volume: 1904
  year: 2019
  ident: br0380
  article-title: Modular A
  publication-title: J. High Energy Phys.
– volume: 94
  start-page: 217
  year: 2017
  ident: br0160
  article-title: Unified models of neutrinos, flavour and CP violation
  publication-title: Prog. Part. Nucl. Phys.
– volume: 939
  start-page: 292
  year: 2019
  ident: br0340
  article-title: Lepton masses and mixing from modular
  publication-title: Nucl. Phys. B
– volume: 793
  start-page: 247
  year: 2019
  ident: br0510
  article-title: Trimaximal neutrino mixing from modular A4 invariance with residual symmetries
  publication-title: Phys. Lett. B
– volume: 58
  start-page: 1600
  year: 1987
  ident: br0060
  article-title: Small and calculable Dirac neutrino mass
  publication-title: Phys. Rev. Lett.
– ident: br0310
  article-title: A radiative seesaw model in modular
– volume: 82
  start-page: 2701
  year: 2010
  ident: br0120
  article-title: Discrete flavor symmetries and models of neutrino mixing
  publication-title: Rev. Mod. Phys.
– volume: 101
  year: 2020
  ident: br0250
  article-title: grand unified theory with
  publication-title: Phys. Rev. D
– volume: 1909
  year: 2019
  ident: br0290
  article-title: Modular A
  publication-title: J. High Energy Phys.
– volume: 08
  year: 2020
  ident: br0680
  article-title: Modular invariant models of leptons at level 7
  publication-title: J. High Energy Phys.
– volume: 1901
  year: 2019
  ident: br0740
  article-title: Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of
  publication-title: J. High Energy Phys.
– volume: 98
  year: 2018
  ident: br0020
  article-title: Review of particle physics
  publication-title: Phys. Rev. D
– volume: 557
  start-page: 25
  year: 1999
  ident: br0040
  article-title: Neutrino oscillations without neutrino masses or heavy mass scales: a higher dimensional seesaw mechanism
  publication-title: Nucl. Phys. B
– ident: br0170
  article-title: Neutrino flavour symmetries
– volume: 2020
  year: 2020
  ident: br0210
  article-title: Modular
  publication-title: PTEP
– volume: 100
  year: 2019
  ident: br0390
  article-title: Neutrino mass and mixing with
  publication-title: Phys. Rev. D
– ident: br0540
  article-title: Quark and lepton flavors with common modulus
– ident: br0360
  article-title: Neutrino mass model with a modular
– volume: 952
  year: 2020
  ident: br0550
  article-title: A modular
  publication-title: Nucl. Phys. B
– volume: 101
  year: 2020
  ident: br0560
  article-title: Modular symmetry origin of texture zeros and quark lepton unification
  publication-title: Phys. Rev. D
– ident: br0600
  article-title: Implications of
– volume: 2001
  year: 2020
  ident: br0320
  article-title: Modular
  publication-title: J. High Energy Phys.
– volume: 05
  year: 2020
  ident: br0370
  article-title: The minimal seesaw model with a modular S
  publication-title: J. High Energy Phys.
– ident: br0610
  article-title: A linear seesaw model with
– year: 2011
  ident: br0010
  article-title: Neutrinos in Particle Physics, Astronomy and Cosmology
– volume: 1311
  year: 2013
  ident: br0730
  article-title: Running quark and lepton parameters at various scales
  publication-title: J. High Energy Phys.
– volume: 183
  start-page: 1
  year: 2010
  ident: br0130
  article-title: Non-Abelian discrete symmetries in particle physics
  publication-title: Prog. Theor. Phys. Suppl.
– volume: 2002
  year: 2020
  ident: br0490
  article-title: New
  publication-title: J. High Energy Phys.
– volume: 791
  start-page: 54
  year: 2019
  ident: br0260
  article-title: CP violation of quarks in
  publication-title: Phys. Lett. B
– ident: br0530
  article-title: Towards unification of quark and lepton flavors in
– volume: 2002
  year: 2020
  ident: br0630
  article-title: Eclectic flavor groups
  publication-title: J. High Energy Phys.
– ident: br0670
  article-title: Revisiting modular symmetry in magnetized torus and orbifold compactifications
– volume: 101
  year: 2020
  ident: br0450
  article-title: Trimaximal TM
  publication-title: Phys. Rev. D
– volume: 957
  year: 2020
  ident: br0590
  article-title: Lepton flavor mixing and CP violation in the minimal type-(I+II) seesaw model with a modular
  publication-title: Nucl. Phys. B
– ident: br0180
  article-title: Are neutrino masses modular forms?
– volume: 2004
  year: 2020
  ident: 10.1016/j.nuclphysb.2020.115247_br0100
  article-title: Minimal realizations of Dirac neutrino mass from generic one-loop and two-loop topologies at d=5
  publication-title: J. Cosmol. Astropart. Phys.
– volume: 1811
  year: 2018
  ident: 10.1016/j.nuclphysb.2020.115247_br0230
  publication-title: J. High Energy Phys.
– volume: 557
  start-page: 25
  year: 1999
  ident: 10.1016/j.nuclphysb.2020.115247_br0040
  article-title: Neutrino oscillations without neutrino masses or heavy mass scales: a higher dimensional seesaw mechanism
  publication-title: Nucl. Phys. B
  doi: 10.1016/S0550-3213(99)00377-6
– volume: 65
  year: 2001
  ident: 10.1016/j.nuclphysb.2020.115247_br0050
  article-title: Neutrino masses from large extra dimensions
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.65.024032
– volume: 99
  issue: 4
  year: 2019
  ident: 10.1016/j.nuclphysb.2020.115247_br0620
  article-title: Modular forms of finite modular subgroups from magnetized D-brane models
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.99.046001
– volume: 794
  start-page: 114
  year: 2019
  ident: 10.1016/j.nuclphysb.2020.115247_br0200
  article-title: Finite modular subgroups for fermion mass matrices and baryon/lepton number violation
  publication-title: Phys. Lett. B
  doi: 10.1016/j.physletb.2019.05.034
– volume: 793
  start-page: 247
  year: 2019
  ident: 10.1016/j.nuclphysb.2020.115247_br0510
  article-title: Trimaximal neutrino mixing from modular A4 invariance with residual symmetries
  publication-title: Phys. Lett. B
  doi: 10.1016/j.physletb.2019.04.043
– volume: 102
  issue: 2
  year: 2020
  ident: 10.1016/j.nuclphysb.2020.115247_br0430
  article-title: Challenge for spontaneous CP violation in type IIB orientifolds with fluxes
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.102.026004
– volume: 76
  year: 2013
  ident: 10.1016/j.nuclphysb.2020.115247_br0140
  article-title: Neutrino mass and mixing with discrete symmetry
  publication-title: Rep. Prog. Phys.
  doi: 10.1088/0034-4885/76/5/056201
– volume: 2020
  issue: 5
  year: 2020
  ident: 10.1016/j.nuclphysb.2020.115247_br0210
  article-title: Modular S3-invariant flavor model in SU(5) grand unified theory
  publication-title: PTEP
– volume: 5
  issue: 5
  year: 2018
  ident: 10.1016/j.nuclphysb.2020.115247_br0240
  article-title: Modular invariance faces precision neutrino data
  publication-title: SciPost Phys.
  doi: 10.21468/SciPostPhys.5.5.042
– volume: 236
  start-page: 221
  year: 1984
  ident: 10.1016/j.nuclphysb.2020.115247_br0720
  article-title: Two loop renormalization group equations in a general quantum field theory. 2. Yukawa couplings
  publication-title: Nucl. Phys. B
  doi: 10.1016/0550-3213(84)90533-9
– volume: 98
  issue: 1
  year: 2018
  ident: 10.1016/j.nuclphysb.2020.115247_br0190
  article-title: Neutrino mixing from finite modular groups
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.98.016004
– volume: 801
  year: 2020
  ident: 10.1016/j.nuclphysb.2020.115247_br0690
  article-title: A note on the predictions of models with modular flavor symmetries
  publication-title: Phys. Lett. B
  doi: 10.1016/j.physletb.2019.135153
– ident: 10.1016/j.nuclphysb.2020.115247_br0760
– volume: 94
  start-page: 217
  year: 2017
  ident: 10.1016/j.nuclphysb.2020.115247_br0160
  article-title: Unified models of neutrinos, flavour and CP violation
  publication-title: Prog. Part. Nucl. Phys.
  doi: 10.1016/j.ppnp.2017.01.003
– volume: 98
  issue: 3
  year: 2018
  ident: 10.1016/j.nuclphysb.2020.115247_br0020
  article-title: Review of particle physics
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.98.030001
– volume: 101
  issue: 1
  year: 2020
  ident: 10.1016/j.nuclphysb.2020.115247_br0450
  article-title: Trimaximal TM1 mixing with two modular S4 groups
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.101.015001
– volume: 803
  year: 2020
  ident: 10.1016/j.nuclphysb.2020.115247_br0300
  article-title: A modular A4 symmetric scotogenic model
  publication-title: Phys. Lett. B
  doi: 10.1016/j.physletb.2020.135294
– volume: 961
  year: 2020
  ident: 10.1016/j.nuclphysb.2020.115247_br0330
  article-title: A radiative seesaw model with three Higgs doublets in modular A4 symmetry
  publication-title: Nucl. Phys. B
  doi: 10.1016/j.nuclphysb.2020.115216
– volume: 5
  start-page: 5153
  year: 2014
  ident: 10.1016/j.nuclphysb.2020.115247_br0700
  article-title: Renormalization group running of neutrino parameters
  publication-title: Nat. Commun.
  doi: 10.1038/ncomms6153
– volume: 69
  start-page: 219
  year: 2019
  ident: 10.1016/j.nuclphysb.2020.115247_br0030
  article-title: Neutrinoless double-beta decay: status and prospects
  publication-title: Annu. Rev. Nucl. Part. Sci.
  doi: 10.1146/annurev-nucl-101918-023407
– volume: 183
  start-page: 1
  year: 2010
  ident: 10.1016/j.nuclphysb.2020.115247_br0130
  article-title: Non-Abelian discrete symmetries in particle physics
  publication-title: Prog. Theor. Phys. Suppl.
  doi: 10.1143/PTPS.183.1
– volume: 1912
  year: 2019
  ident: 10.1016/j.nuclphysb.2020.115247_br0520
  article-title: Modular S4 and A4 symmetries and their fixed points: new predictive examples of lepton mixing
  publication-title: J. High Energy Phys.
– ident: 10.1016/j.nuclphysb.2020.115247_br0670
– volume: 1901
  year: 2019
  ident: 10.1016/j.nuclphysb.2020.115247_br0740
  article-title: Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of θ23,δCP, and the mass ordering
  publication-title: J. High Energy Phys.
– volume: 1909
  year: 2019
  ident: 10.1016/j.nuclphysb.2020.115247_br0290
  article-title: Modular A4 symmetry models of neutrinos and charged leptons
  publication-title: J. High Energy Phys.
– ident: 10.1016/j.nuclphysb.2020.115247_br0480
– volume: 82
  start-page: 2701
  year: 2010
  ident: 10.1016/j.nuclphysb.2020.115247_br0120
  article-title: Discrete flavor symmetries and models of neutrino mixing
  publication-title: Rev. Mod. Phys.
  doi: 10.1103/RevModPhys.82.2701
– volume: 100
  year: 2019
  ident: 10.1016/j.nuclphysb.2020.115247_br0500
  article-title: A4 lepton flavor model and modulus stabilization from S4 modular symmetry
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.100.115045
– volume: 791
  start-page: 54
  year: 2019
  ident: 10.1016/j.nuclphysb.2020.115247_br0260
  article-title: CP violation of quarks in A4 modular invariance
  publication-title: Phys. Lett. B
  doi: 10.1016/j.physletb.2019.02.028
– volume: 100
  issue: 11
  year: 2019
  ident: 10.1016/j.nuclphysb.2020.115247_br0220
  article-title: Modular S3 symmetric radiative seesaw model
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.100.115037
– ident: 10.1016/j.nuclphysb.2020.115247_br0310
– volume: 1904
  year: 2019
  ident: 10.1016/j.nuclphysb.2020.115247_br0380
  article-title: Modular A5 symmetry for flavour model building
  publication-title: J. High Energy Phys.
– volume: 08
  year: 2020
  ident: 10.1016/j.nuclphysb.2020.115247_br0680
  article-title: Modular invariant models of leptons at level 7
  publication-title: J. High Energy Phys.
– ident: 10.1016/j.nuclphysb.2020.115247_br0280
– volume: 957
  year: 2020
  ident: 10.1016/j.nuclphysb.2020.115247_br0590
  article-title: Lepton flavor mixing and CP violation in the minimal type-(I+II) seesaw model with a modular A4 symmetry
  publication-title: Nucl. Phys. B
  doi: 10.1016/j.nuclphysb.2020.115105
– volume: 1311
  year: 2013
  ident: 10.1016/j.nuclphysb.2020.115247_br0730
  article-title: Running quark and lepton parameters at various scales
  publication-title: J. High Energy Phys.
– volume: 101
  issue: 1
  year: 2020
  ident: 10.1016/j.nuclphysb.2020.115247_br0250
  article-title: SU(5) grand unified theory with A4 modular symmetry
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.101.015028
– volume: 102
  issue: 8
  year: 2020
  ident: 10.1016/j.nuclphysb.2020.115247_br0660
  article-title: Modular flavor symmetry on a magnetized torus
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.102.085008
– ident: 10.1016/j.nuclphysb.2020.115247_br0360
– volume: 58
  start-page: 1600
  year: 1987
  ident: 10.1016/j.nuclphysb.2020.115247_br0060
  article-title: Small and calculable Dirac neutrino mass
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.58.1600
– volume: 101
  issue: 11
  year: 2020
  ident: 10.1016/j.nuclphysb.2020.115247_br0560
  article-title: Modular symmetry origin of texture zeros and quark lepton unification
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.101.115020
– volume: 2001
  year: 2020
  ident: 10.1016/j.nuclphysb.2020.115247_br0320
  article-title: Modular A4 invariance and leptogenesis
  publication-title: J. High Energy Phys.
– ident: 10.1016/j.nuclphysb.2020.115247_br0770
– volume: 100
  issue: 11
  year: 2019
  ident: 10.1016/j.nuclphysb.2020.115247_br0390
  article-title: Neutrino mass and mixing with A5 modular symmetry
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.100.115005
– volume: 9
  start-page: 2259
  year: 1974
  ident: 10.1016/j.nuclphysb.2020.115247_br0710
  article-title: Higgs phenomena in asymptotically free gauge theories
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.9.2259
– ident: 10.1016/j.nuclphysb.2020.115247_br0170
– volume: 02
  year: 2020
  ident: 10.1016/j.nuclphysb.2020.115247_br0400
  article-title: Modular invariant models of lepton masses at levels 4 and 5
  publication-title: J. High Energy Phys.
– ident: 10.1016/j.nuclphysb.2020.115247_br0530
– ident: 10.1016/j.nuclphysb.2020.115247_br0540
– volume: 952
  year: 2020
  ident: 10.1016/j.nuclphysb.2020.115247_br0550
  article-title: A modular A4 symmetry realization of two-zero textures of the majorana neutrino mass matrix
  publication-title: Nucl. Phys. B
  doi: 10.1016/j.nuclphysb.2020.114935
– volume: 854
  start-page: 1
  year: 2020
  ident: 10.1016/j.nuclphysb.2020.115247_br0110
  article-title: Flavor structures of charged fermions and massive neutrinos
  publication-title: Phys. Rep.
  doi: 10.1016/j.physrep.2020.02.001
– volume: 102
  issue: 3
  year: 2020
  ident: 10.1016/j.nuclphysb.2020.115247_br0570
  article-title: Type II seesaw models with modular A4 symmetry
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.102.035019
– ident: 10.1016/j.nuclphysb.2020.115247_br0610
– volume: 957
  year: 2020
  ident: 10.1016/j.nuclphysb.2020.115247_br0640
  article-title: Lessons from eclectic flavor symmetries
  publication-title: Nucl. Phys. B
  doi: 10.1016/j.nuclphysb.2020.115098
– volume: 1908
  year: 2019
  ident: 10.1016/j.nuclphysb.2020.115247_br0460
  article-title: Neutrino masses and mixing from double covering of finite modular groups
  publication-title: J. High Energy Phys.
– volume: 939
  start-page: 292
  year: 2019
  ident: 10.1016/j.nuclphysb.2020.115247_br0340
  article-title: Lepton masses and mixing from modular S4 symmetry
  publication-title: Nucl. Phys. B
  doi: 10.1016/j.nuclphysb.2018.12.016
– volume: 05
  year: 2020
  ident: 10.1016/j.nuclphysb.2020.115247_br0370
  article-title: The minimal seesaw model with a modular S4 symmetry
  publication-title: J. High Energy Phys.
– volume: 101
  issue: 10
  year: 2020
  ident: 10.1016/j.nuclphysb.2020.115247_br0650
  article-title: Classification of discrete modular symmetries in type IIB flux vacua
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.101.106017
– volume: 750
  start-page: 135
  year: 2015
  ident: 10.1016/j.nuclphysb.2020.115247_br0080
  article-title: Gauge B−L model with residual Z3 symmetry
  publication-title: Phys. Lett. B
  doi: 10.1016/j.physletb.2015.09.010
– volume: 123
  issue: 22
  year: 2019
  ident: 10.1016/j.nuclphysb.2020.115247_br0750
  article-title: Improved upper limit on the neutrino mass from a direct kinematic method by KATRIN
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.123.221802
– volume: 16
  year: 2014
  ident: 10.1016/j.nuclphysb.2020.115247_br0150
  article-title: Neutrino mass and mixing: from theory to experiment
  publication-title: New J. Phys.
  doi: 10.1088/1367-2630/16/4/045018
– volume: 797
  year: 2019
  ident: 10.1016/j.nuclphysb.2020.115247_br0270
  article-title: A modular A4 symmetric model of dark matter and neutrino
  publication-title: Phys. Lett. B
  doi: 10.1016/j.physletb.2019.134799
– ident: 10.1016/j.nuclphysb.2020.115247_br0600
– volume: 741
  start-page: 217
  year: 2015
  ident: 10.1016/j.nuclphysb.2020.115247_br0070
  article-title: Dirac or inverse seesaw neutrino masses with B−L gauge symmetry and S3 flavor symmetry
  publication-title: Phys. Lett. B
  doi: 10.1016/j.physletb.2014.12.049
– volume: 1904
  year: 2019
  ident: 10.1016/j.nuclphysb.2020.115247_br0350
  article-title: Modular S4 models of lepton masses and mixing
  publication-title: J. High Energy Phys.
– volume: 101
  issue: 5
  year: 2020
  ident: 10.1016/j.nuclphysb.2020.115247_br0420
  article-title: CP violation in modular invariant flavor models
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.101.055046
– volume: 1907
  year: 2019
  ident: 10.1016/j.nuclphysb.2020.115247_br0410
  article-title: Generalised CP symmetry in modular invariant models of flavour
  publication-title: J. High Energy Phys.
– volume: 2002
  year: 2020
  ident: 10.1016/j.nuclphysb.2020.115247_br0630
  article-title: Eclectic flavor groups
  publication-title: J. High Energy Phys.
– year: 2011
  ident: 10.1016/j.nuclphysb.2020.115247_br0010
– volume: 2002
  year: 2020
  ident: 10.1016/j.nuclphysb.2020.115247_br0490
  article-title: New A4 lepton flavor model from S4 modular symmetry
  publication-title: J. High Energy Phys.
– ident: 10.1016/j.nuclphysb.2020.115247_br0180
– volume: 101
  issue: 5
  year: 2020
  ident: 10.1016/j.nuclphysb.2020.115247_br0440
  article-title: Multiple modular symmetries as the origin of flavor
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.101.055033
– ident: 10.1016/j.nuclphysb.2020.115247_br0580
– volume: 79
  start-page: 916
  issue: 11
  year: 2019
  ident: 10.1016/j.nuclphysb.2020.115247_br0090
  article-title: Minimal Dirac neutrino mass models from U(1)R gauge symmetry and left–right asymmetry at colliders
  publication-title: Eur. Phys. J. C
  doi: 10.1140/epjc/s10052-019-7441-9
– ident: 10.1016/j.nuclphysb.2020.115247_br0470
SSID ssj0000638
Score 2.558321
Snippet In this paper, we investigate lepton mass spectra, flavor mixing and CP violation with a modular S4 symmetry under the assumption that neutrinos are Dirac...
SourceID doaj
crossref
elsevier
SourceType Open Website
Enrichment Source
Index Database
Publisher
StartPage 115247
SummonAdditionalLinks – databaseName: ScienceDirect Free and Delayed Access Titles
  dbid: IXB
  link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV09a8MwEBUhUOhS-knTLzR0NZEtW5a6NaEhdOiSBrIZSZZKSuKExBny76uT7eBMGTpa6IQ4iaeT_O4dQq80llYmuQlA6zuII20CkUoSEKFSLmwaEe0Jsl9sPI0_Z8msg4ZNLgzQKmvsrzDdo3Xd0q-92V_P5_0JccE1jSAF2MEw9cnkNOY-iW82aKGxr2YNnQPofcTxKnZ6AS8Iyl0UI4CPJII6K60Tygv5tw6q1uEzukQXddSI36uJXaGOKa7RmWdv6u0NShxwSY0LA9L6xQovXUSMfY2bLYaHVizhCwineBLj7X65NOVmf4umo4_v4Tio6yEEOqakDLjJldCcWPh5AoGQBSYTt6C4wpikjIjchpRZxQRXnKowd9ct5cxCkSrXcIe6xaow9wiTRFpGNOEmUbHhgpsw15Rayy3luU56iDU-yHQtFg41KxZZwwr7zQ7Oy8B5WeW8HiIHw3Wll3HaZABOPnQHwWvfsNr8ZPWKZymVTEmiLWPG3ekEB-U97RY0tRHXRvTQW7NE2dH-cUPNT83g4T_Gj-g8Ap6Lf5Z5Qt1yszPPLlAp1YvfiX88JuWl
  priority: 102
  providerName: Elsevier
Title Dirac neutrino mass models with a modular S4 symmetry
URI https://dx.doi.org/10.1016/j.nuclphysb.2020.115247
https://doaj.org/article/73a6ba0cf66e495988285c3217f28ce9
Volume 962
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV3PS8MwFA46EbyIP3H-GDl4raZNmybeNnFsCrvoYLeSpAkoWydbd9jFv928tB3ztIuXQkNSwnsl73uvX7-H0D2NpZVJbgLQ-g7iSJtApJIERKiUC5tGRHuC7IgNxvHrJJlstfoCTlglD1wZ7jGlkilJtGXMODAvOEiuaeqQtI24Nv7XPRfzmmRqcwb7HtbE4e_AzaV_mF3FSk-hbqBcehjBoZFE0F1lKy55-f6t8LQVcvon6LjGirhb7fEU7ZniDB16zqZenqPEHVdS48KAoH4xxzOHg7HvbLPEUF7FEu6AZorfY7xcz2amXKwv0Lj_8vE8COouCIGOKSkDbnIlNCcWPpkA_LHAX-IWdFYYk5QRkduQMquY4IpTFeYuyVJuWShS5QYuUauYF-YKYZJIy4gm3CQqNlxwE-aaUmu5pTzXSRuxxgaZriXCoVPFNGu4YF_ZxngZGC-rjNdGZLPwu1LJ2L2kB0beTAeZaz_gnJ_Vzs92Ob-NnhoXZTViqJCAe9Tnrh1c_8cObtBRBCwXX5S5Ra1ysTJ3DqaUqoP2H37CDjroDt8Go45_P911OOn9AiBK5mY
linkProvider Directory of Open Access Journals
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LTwIxEG4IxujF-Iz47MHrhrLd7bbehEhA0YuQcGvabmswshgeB_69nbIQOHnwuE2naabN12n3m28QeqCJcirNbQRa31ESGxuJTJGICJ1x4bKYmECQfWedQfIyTIcV1FrnwgCtssT-FaYHtC5b6qU36z-jUf2D-OCaxpAC7GGYQjL5no8GMqjf0B02t-A4lLOG3hF03yF5FQvzDU8I2t8UY8CPNIZCK1tHVFDy3zqptk6f9jE6KsNG_LSa2Qmq2OIU7Qf6ppmdodQjlzK4sKCtX0zw2IfEOBS5mWF4acUKvoBxij8SPFuOx3Y-XZ6jQfu53-pEZUGEyCSUzCNucy0MJw7-nkAk5IDKxB1IrjCmKCMidw3KnGaCa051I_f3Le3NGiLTvuECVYtJYS8RJqlyjBjCbaoTywW3jdxQ6hx3lOcmrSG29oE0pVo4FK34lmta2JfcOE-C8-TKeTVENoY_K8GMv02a4ORNd1C8Dg2T6acsl1xmVDGtiHGMWX-pExyk94xf0MzF3FhRQ4_rJZI7G8gPNfprBlf_Mb5HB53-W0_2uu-v1-gwBtJLeKO5QdX5dGFvfdQy13dhV_4Cz7ToxA
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Dirac+neutrino+mass+models+with+a+modular+S4+symmetry&rft.jtitle=Nuclear+physics.+B&rft.au=Xin+Wang&rft.date=2021-01-01&rft.pub=Elsevier&rft.issn=0550-3213&rft.volume=962&rft.spage=115247&rft_id=info:doi/10.1016%2Fj.nuclphysb.2020.115247&rft.externalDBID=DOA&rft.externalDocID=oai_doaj_org_article_73a6ba0cf66e495988285c3217f28ce9
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0550-3213&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0550-3213&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0550-3213&client=summon