A representation transformation of parametric Feynman integrals

A transformation on homogeneous polynomials is proposed, which is further applied to parametric Feynman integrals. The two representations related through this transformation are dual to each other. It naturally leads to dualities of Landau equations and linear integral relations between the two rep...

Full description

Saved in:
Bibliographic Details
Published inPhysics letters. B Vol. 862; p. 139340
Main Author Chen, Wen
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.03.2025
Elsevier
Online AccessGet full text

Cover

Abstract A transformation on homogeneous polynomials is proposed, which is further applied to parametric Feynman integrals. The two representations related through this transformation are dual to each other. It naturally leads to dualities of Landau equations and linear integral relations between the two representations. For integrals with momentum-space correspondences, the dual representation is equivalent to the Baikov representation.
AbstractList A transformation on homogeneous polynomials is proposed, which is further applied to parametric Feynman integrals. The two representations related through this transformation are dual to each other. It naturally leads to dualities of Landau equations and linear integral relations between the two representations. For integrals with momentum-space correspondences, the dual representation is equivalent to the Baikov representation.
ArticleNumber 139340
Author Chen, Wen
Author_xml – sequence: 1
  givenname: Wen
  orcidid: 0000-0002-7568-2056
  surname: Chen
  fullname: Chen, Wen
  email: chenwenphy@gmail.com
  organization: Key Laboratory of Atomic and Subatomic Structure and Quantum Control (MOE), Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter, Institute of Quantum Matter, South China Normal University, Guangzhou 510006, China
BookMark eNqFkMFOwzAMhnMYEtvgFVBfoCVp2rQ5wTQxmDSJC5yjJHVGpi2pkghpb09GJ64cbMuW_s_2v0Az5x0g9EBwRTBhj4dq_DrHIyRV1bhuK0I5bfAMzTHtcFkzTm_RIsYDxpi0mM3R06oIMAaI4JJM1rsiBemi8eE0td4UowzyBClYXWzg7E7SFdYl2Ad5jHfoxuQC99e6RJ-bl4_1W7l7f92uV7tSU0xTSRkzA1HEmLpvwWjT9Krrh4YZ4ACs7bDmDaaK40Y3vGNGATNd15kh514ZukTbiTt4eRBjsCcZzsJLK34HPuyFDMnqIwjFM5gOspVt00jV8ZZx0ueoZa96KTOLTSwdfIwBzB-PYHGxUeQNVxvFxUYx2ZiFz5MQ8qffFoKI2oLTMNgAOuVT7H-IH60vhC8
Cites_doi 10.1063/1.1666327
10.1140/epjc/s10052-019-6533-x
10.1007/BF01645374
10.1007/BF01649638
10.1103/PhysRev.76.769
10.1143/PTP.22.128
10.1140/epjc/s10052-012-2139-2
10.1063/1.1703676
10.1140/epjc/s10052-020-08757-3
10.1007/BF01773358
10.1007/s11005-018-1114-8
10.1103/PhysRevD.97.105014
10.4310/CNTP.2017.v11.n3.a1
10.1016/0029-5582(59)90154-3
10.1063/1.3106041
10.1007/BF02750472
10.1002/prop.19720200603
10.1143/PTP.17.401
10.1016/j.cpc.2007.11.012
10.1016/j.cpc.2014.10.019
10.1103/PhysRevD.54.6479
10.1016/0370-2693(96)00835-0
10.1016/S0370-2693(99)01061-8
10.1007/s00220-006-0040-2
10.1016/S0168-9002(97)00126-5
10.1140/epjc/s10052-021-09036-5
10.1143/PTP.20.690
10.1016/j.physletb.2006.01.052
10.1140/epjc/s10052-011-1626-1
10.1016/j.nuclphysb.2009.12.025
10.1007/BF02821988
10.1016/S0550-3213(00)00429-6
10.1007/3-540-44574-9_1
10.1016/S0550-3213(98)00138-2
10.1007/BF02747390
10.1103/PhysRevLett.131.091601
10.1103/PhysRevLett.123.201602
ContentType Journal Article
Copyright 2025 The Author(s)
Copyright_xml – notice: 2025 The Author(s)
DBID 6I.
AAFTH
AAYXX
CITATION
DOA
DOI 10.1016/j.physletb.2025.139340
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
ExternalDocumentID oai_doaj_org_article_b98d43da5a544ab79569186912a8b8aa
10_1016_j_physletb_2025_139340
S0370269325001005
GroupedDBID --K
--M
-~X
.~1
0R~
123
186
1B1
1RT
1~.
1~5
29O
4.4
457
4G.
53G
5VS
6I.
6TJ
7-5
71M
8P~
8WZ
9JN
A6W
AABNK
AACTN
AAEDT
AAEDW
AAFTH
AAIKJ
AAKOC
AALRI
AAOAW
AAQFI
AAQXK
AAXKI
AAXUO
AAYJJ
ABDPE
ABFNM
ABLJU
ABMAC
ABNEU
ABWVN
ABXDB
ACDAQ
ACFVG
ACGFS
ACNCT
ACNNM
ACRLP
ACRPL
ADBBV
ADEZE
ADIYS
ADMUD
ADNMO
ADVLN
AEBSH
AEKER
AENEX
AEXQZ
AFFNX
AFPKN
AFTJW
AGHFR
AGUBO
AGYEJ
AHHHB
AIBLX
AIEXJ
AIKHN
AITUG
AIVDX
AKRWK
ALMA_UNASSIGNED_HOLDINGS
AMRAJ
ANKPU
ASPBG
AVWKF
AXJTR
AZFZN
BCNDV
BKOJK
BLXMC
CS3
DU5
EBS
EFJIC
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
MO0
MVM
N9A
O-L
O9-
OAUVE
OGIMB
OK1
OZT
P-8
P-9
PC.
Q38
R2-
RIG
RNS
ROL
RPZ
SCC
SDF
SDG
SDP
SES
SEW
SHN
SPCBC
SPD
SSQ
SSZ
T5K
TN5
WH7
WUQ
XJT
ZCG
~G-
AAFWJ
AATTM
AAYWO
AAYXX
ACVFH
ADCNI
ADXHL
AEIPS
AEUPX
AFPUW
AGCQF
AGQPQ
AGRNS
AIGII
AIIUN
AKBMS
AKYEP
BNPGV
CITATION
SPC
SSH
EFKBS
ID FETCH-LOGICAL-c303t-366fd1b1ff285efcf48b78d46fe9ee6570c9403b904c4976fbe6f777fdf778bf3
IEDL.DBID DOA
ISSN 0370-2693
IngestDate Wed Aug 27 00:49:35 EDT 2025
Tue Jul 01 05:17:56 EDT 2025
Sat Mar 15 15:41:39 EDT 2025
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-c303t-366fd1b1ff285efcf48b78d46fe9ee6570c9403b904c4976fbe6f777fdf778bf3
ORCID 0000-0002-7568-2056
OpenAccessLink https://doaj.org/article/b98d43da5a544ab79569186912a8b8aa
ParticipantIDs doaj_primary_oai_doaj_org_article_b98d43da5a544ab79569186912a8b8aa
crossref_primary_10_1016_j_physletb_2025_139340
elsevier_sciencedirect_doi_10_1016_j_physletb_2025_139340
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate March 2025
2025-03-00
2025-03-01
PublicationDateYYYYMMDD 2025-03-01
PublicationDate_xml – month: 03
  year: 2025
  text: March 2025
PublicationDecade 2020
PublicationTitle Physics letters. B
PublicationYear 2025
Publisher Elsevier B.V
Elsevier
Publisher_xml – name: Elsevier B.V
– name: Elsevier
References Binoth, Heinrich (br0120) 2000; 585
Nakanishi (br0030) 1957; 17
Lee, Pomeransky (br0050)
Chen (br0070)
Chen (br0090) 2020; 80
Brown (br0140) 2009
Regge (br0250) 1968
Abreu, Britto, Duhr, Gardi (br0400)
Jantzen, Smirnov, Smirnov (br0750) 2012; 72
Mastrolia, Mizera (br0530)
Chen, Jiang, Ma, Xu, Yang (br0490)
Weinzierl (br0240) 2022
Smirnov (br0690) 1999; 465
Bitoun, Bogner, Klausen, Panzer (br0170) 2019; 109
Baikov (br0460) 2006; 634
Jantzen (br0720)
Pak, Smirnov (br0710) 2011; 71
Hepp (br0110) 1966; 2
de la Cruz (br0340)
Abreu, Britto, Duhr, Gardi, Matthew (br0410)
Nambu (br0020) 1957; 6
Frellesvig, Papadopoulos (br0480)
Dlapa, Li, Zhang (br0630)
Caron-Huot, Correia, Giroux (br0670) 2024
Brown (br0390) 2017; 11
Frellesvig (br0500) 2024
Ponzano, Regge, Speer, Westwater (br0260) 1969; 15
Bosma, Larsen, Zhang (br0610) 2018; 97
Frellesvig, Gasparotto, Mandal, Mastrolia, Mattiazzi, Mizera (br0550) 2019; 123
Coleman, Norton (br0230) 1965; 38
Lee (br0470) 2010; 830
Bogner, Weinzierl (br0370) 2009; 50
Barucchi, Ponzano (br0300) 1974; 23
Klausen (br0350)
Böhm, Georgoudis, Larsen, Schulze, Zhang (br0580) 2018; 98
Panzer (br0150) 2015; 188
Vanhove (br0330) 2019
Regge, Speer, Westwater (br0280) 1972; 20
Barucchi, Ponzano (br0290) 1973; 14
Britto (br0420) 2023; 131
Baikov (br0440) 1996; 385
Frellesvig, Gasparotto, Laporta, Mandal, Mastrolia, Mattiazzi, Mizera (br0540)
Tarasov (br0160) 1996; 54
Frellesvig, Gasparotto, Laporta, Mandal, Mastrolia, Mattiazzi, Mizera (br0560)
Gardi, Herzog, Jones, Ma, Schlenk (br0730)
Baikov (br0450) 1997; 389
Ponzano, Regge, Speer, Westwater (br0270) 1970; 18
Jiang, Liu, Xu, Yang (br0660) 2024
Chen (br0080) 2021; 81
Artico, Magnea (br0180)
Nakanishi (br0220) 1959; 22
Bosma, Sogaard, Zhang (br0510)
Chen, Jiang, Xu, Yang (br0620) 2021; 814
Beneke, Smirnov (br0680) 1998; 522
Abreu, Britto, Duhr, Gardi (br0380)
Gardi, Herzog, Jones, Ma (br0770)
Lee (br0060) 2014
Lu, Wang, Yang (br0190) 2024
Feynman (br0010) 1949; 76
Boehm, Bendle, Decker, Georgoudis, Pfreundt, Rahn, Zhang (br0590) 2022; MA2019
Harley, Moriello, Schabinger (br0520)
Larsen, Zhang (br0570) 2016; 93
Landau (br0210) 1959; 13
Ananthanarayan, Pal, Ramanan, Sarkar (br0760) 2019; 79
Jiang, Lian, Yang (br0600) 2024; 109
Cutkosky (br0430) 1960; 1
Nasrollahpoursamami (br0320) 2016
Jiang, Yang (br0640) 2023; 108
Symanzik (br0040) 1958; 20
Bogner, Weinzierl (br0130) 2008; 178
Wang, Yang (br0200) 2024
Smirnov (br0700) 2002; 177
Bloch, Esnault, Kreimer (br0360) 2006; 267
Ma (br0740)
Chen (br0100) 2024
Gel'fand, Zelevinskii, Kapranov (br0310) 1989; 23
Chen, Feng, Yang (br0650) 2024; 67
Weinzierl (10.1016/j.physletb.2025.139340_br0240) 2022
Baikov (10.1016/j.physletb.2025.139340_br0460) 2006; 634
Chen (10.1016/j.physletb.2025.139340_br0620) 2021; 814
Böhm (10.1016/j.physletb.2025.139340_br0580) 2018; 98
Abreu (10.1016/j.physletb.2025.139340_br0380)
Klausen (10.1016/j.physletb.2025.139340_br0350)
Frellesvig (10.1016/j.physletb.2025.139340_br0480)
Brown (10.1016/j.physletb.2025.139340_br0390) 2017; 11
Boehm (10.1016/j.physletb.2025.139340_br0590) 2022; MA2019
Nambu (10.1016/j.physletb.2025.139340_br0020) 1957; 6
Britto (10.1016/j.physletb.2025.139340_br0420) 2023; 131
Bosma (10.1016/j.physletb.2025.139340_br0510)
de la Cruz (10.1016/j.physletb.2025.139340_br0340)
Mastrolia (10.1016/j.physletb.2025.139340_br0530)
Smirnov (10.1016/j.physletb.2025.139340_br0690) 1999; 465
Harley (10.1016/j.physletb.2025.139340_br0520)
Ma (10.1016/j.physletb.2025.139340_br0740)
Wang (10.1016/j.physletb.2025.139340_br0200)
Lee (10.1016/j.physletb.2025.139340_br0060) 2014
Smirnov (10.1016/j.physletb.2025.139340_br0700) 2002; 177
Jantzen (10.1016/j.physletb.2025.139340_br0750) 2012; 72
Nakanishi (10.1016/j.physletb.2025.139340_br0030) 1957; 17
Lee (10.1016/j.physletb.2025.139340_br0050)
Pak (10.1016/j.physletb.2025.139340_br0710) 2011; 71
Frellesvig (10.1016/j.physletb.2025.139340_br0560)
Ponzano (10.1016/j.physletb.2025.139340_br0260) 1969; 15
Bitoun (10.1016/j.physletb.2025.139340_br0170) 2019; 109
Artico (10.1016/j.physletb.2025.139340_br0180)
Landau (10.1016/j.physletb.2025.139340_br0210) 1959; 13
Barucchi (10.1016/j.physletb.2025.139340_br0300) 1974; 23
Lee (10.1016/j.physletb.2025.139340_br0470) 2010; 830
Bloch (10.1016/j.physletb.2025.139340_br0360) 2006; 267
Panzer (10.1016/j.physletb.2025.139340_br0150) 2015; 188
Bosma (10.1016/j.physletb.2025.139340_br0610) 2018; 97
Abreu (10.1016/j.physletb.2025.139340_br0400)
Chen (10.1016/j.physletb.2025.139340_br0650) 2024; 67
Beneke (10.1016/j.physletb.2025.139340_br0680) 1998; 522
Baikov (10.1016/j.physletb.2025.139340_br0440) 1996; 385
Coleman (10.1016/j.physletb.2025.139340_br0230) 1965; 38
Feynman (10.1016/j.physletb.2025.139340_br0010) 1949; 76
Symanzik (10.1016/j.physletb.2025.139340_br0040) 1958; 20
Frellesvig (10.1016/j.physletb.2025.139340_br0550) 2019; 123
Chen (10.1016/j.physletb.2025.139340_br0070)
Caron-Huot (10.1016/j.physletb.2025.139340_br0670)
Gardi (10.1016/j.physletb.2025.139340_br0770)
Chen (10.1016/j.physletb.2025.139340_br0080) 2021; 81
Barucchi (10.1016/j.physletb.2025.139340_br0290) 1973; 14
Gardi (10.1016/j.physletb.2025.139340_br0730)
Chen (10.1016/j.physletb.2025.139340_br0100)
Jiang (10.1016/j.physletb.2025.139340_br0640) 2023; 108
Jantzen (10.1016/j.physletb.2025.139340_br0720)
Frellesvig (10.1016/j.physletb.2025.139340_br0540)
Bogner (10.1016/j.physletb.2025.139340_br0370) 2009; 50
Chen (10.1016/j.physletb.2025.139340_br0490)
Frellesvig (10.1016/j.physletb.2025.139340_br0500)
Larsen (10.1016/j.physletb.2025.139340_br0570) 2016; 93
Brown (10.1016/j.physletb.2025.139340_br0140)
Cutkosky (10.1016/j.physletb.2025.139340_br0430) 1960; 1
Baikov (10.1016/j.physletb.2025.139340_br0450) 1997; 389
Binoth (10.1016/j.physletb.2025.139340_br0120) 2000; 585
Ponzano (10.1016/j.physletb.2025.139340_br0270) 1970; 18
Abreu (10.1016/j.physletb.2025.139340_br0410)
Jiang (10.1016/j.physletb.2025.139340_br0600) 2024; 109
Ananthanarayan (10.1016/j.physletb.2025.139340_br0760) 2019; 79
Gel'fand (10.1016/j.physletb.2025.139340_br0310) 1989; 23
Nasrollahpoursamami (10.1016/j.physletb.2025.139340_br0320)
Vanhove (10.1016/j.physletb.2025.139340_br0330) 2019
Dlapa (10.1016/j.physletb.2025.139340_br0630)
Nakanishi (10.1016/j.physletb.2025.139340_br0220) 1959; 22
Jiang (10.1016/j.physletb.2025.139340_br0660)
Regge (10.1016/j.physletb.2025.139340_br0280) 1972; 20
Chen (10.1016/j.physletb.2025.139340_br0090) 2020; 80
Tarasov (10.1016/j.physletb.2025.139340_br0160) 1996; 54
Hepp (10.1016/j.physletb.2025.139340_br0110) 1966; 2
Lu (10.1016/j.physletb.2025.139340_br0190)
Bogner (10.1016/j.physletb.2025.139340_br0130) 2008; 178
Regge (10.1016/j.physletb.2025.139340_br0250) 1968
References_xml – volume: 15
  start-page: 83
  year: 1969
  ident: br0260
  publication-title: Commun. Math. Phys.
– volume: 20
  start-page: 690
  year: 1958
  ident: br0040
  publication-title: Prog. Theor. Phys.
– ident: br0180
– volume: 23
  start-page: 12
  year: 1989
  end-page: 26
  ident: br0310
  article-title: Hypergeometric functions and toral manifolds
  publication-title: Funkc. Anal. Prilozh.
– start-page: 297
  year: 2014
  end-page: 300
  ident: br0060
  publication-title: 49th Rencontres de Moriond on QCD and High Energy Interactions
– volume: 79
  start-page: 57
  year: 2019
  ident: br0760
  publication-title: Eur. Phys. J. C
– volume: 108
  year: 2023
  ident: br0640
  publication-title: Phys. Rev. D
– ident: br0720
– year: 2024
  ident: br0190
– ident: br0400
– year: 2024
  ident: br0670
– year: 2024
  ident: br0500
– ident: br0740
– year: 2024
  ident: br0660
– ident: br0630
– volume: 76
  start-page: 769
  year: 1949
  ident: br0010
  publication-title: Phys. Rev.
– volume: 13
  start-page: 181
  year: 1959
  ident: br0210
  publication-title: Nucl. Phys.
– year: 2016
  ident: br0320
– year: 2022
  ident: br0240
  article-title: Feynman Integrals. A Comprehensive Treatment for Students and Researchers
  publication-title: UNITEXT for Physics
– ident: br0480
– year: 2024
  ident: br0100
– volume: 585
  start-page: 741
  year: 2000
  ident: br0120
  publication-title: Nucl. Phys. B
– volume: 71
  start-page: 1626
  year: 2011
  ident: br0710
  publication-title: Eur. Phys. J. C
– volume: 522
  start-page: 321
  year: 1998
  ident: br0680
  publication-title: Nucl. Phys. B
– volume: 11
  start-page: 453
  year: 2017
  ident: br0390
  publication-title: Commun. Number Theory Phys.
– ident: br0410
– ident: br0770
– volume: 177
  start-page: 1
  year: 2002
  ident: br0700
  publication-title: Springer Tracts Mod. Phys.
– volume: 830
  start-page: 474
  year: 2010
  ident: br0470
  publication-title: Nucl. Phys. B
– volume: 178
  start-page: 596
  year: 2008
  ident: br0130
  publication-title: Comput. Phys. Commun.
– volume: MA2019
  year: 2022
  ident: br0590
  publication-title: PoS
– ident: br0050
– ident: br0560
– ident: br0510
– volume: 109
  start-page: 497
  year: 2019
  ident: br0170
  publication-title: Lett. Math. Phys.
– volume: 18
  start-page: 1
  year: 1970
  ident: br0270
  publication-title: Commun. Math. Phys.
– ident: br0530
– volume: 14
  start-page: 396
  year: 1973
  ident: br0290
  publication-title: J. Math. Phys.
– ident: br0380
– volume: 109
  year: 2024
  ident: br0600
  publication-title: Phys. Rev. D
– volume: 188
  start-page: 148
  year: 2015
  ident: br0150
  publication-title: Comput. Phys. Commun.
– year: 2024
  ident: br0200
– ident: br0490
– volume: 814
  year: 2021
  ident: br0620
  publication-title: Phys. Lett. B
– ident: br0540
– ident: br0730
– ident: br0520
– ident: br0350
– volume: 1
  start-page: 429
  year: 1960
  ident: br0430
  publication-title: J. Math. Phys.
– volume: 17
  start-page: 401
  year: 1957
  ident: br0030
  publication-title: Prog. Theor. Phys.
– volume: 80
  start-page: 1173
  year: 2020
  ident: br0090
  publication-title: Eur. Phys. J. C
– volume: 38
  start-page: 438
  year: 1965
  ident: br0230
  publication-title: Nuovo Cimento
– volume: 2
  start-page: 301
  year: 1966
  ident: br0110
  publication-title: Commun. Math. Phys.
– ident: br0070
– volume: 465
  start-page: 226
  year: 1999
  ident: br0690
  publication-title: Phys. Lett. B
– volume: 50
  year: 2009
  ident: br0370
  publication-title: J. Math. Phys.
– volume: 131
  year: 2023
  ident: br0420
  publication-title: Phys. Rev. Lett.
– volume: 67
  year: 2024
  ident: br0650
  publication-title: Sci. China, Phys. Mech. Astron.
– volume: 97
  year: 2018
  ident: br0610
  publication-title: Phys. Rev. D
– volume: 93
  year: 2016
  ident: br0570
  publication-title: Phys. Rev. D
– volume: 123
  year: 2019
  ident: br0550
  publication-title: Phys. Rev. Lett.
– start-page: 433
  year: 1968
  end-page: 458
  ident: br0250
  publication-title: Battelle Rencontres
– start-page: 415
  year: 2019
  end-page: 458
  ident: br0330
  publication-title: KMPB Conference: Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory
– volume: 98
  year: 2018
  ident: br0580
  publication-title: Phys. Rev. D
– ident: br0340
– volume: 634
  start-page: 325
  year: 2006
  ident: br0460
  publication-title: Phys. Lett. B
– volume: 81
  start-page: 244
  year: 2021
  ident: br0080
  publication-title: Eur. Phys. J. C
– volume: 54
  start-page: 6479
  year: 1996
  ident: br0160
  publication-title: Phys. Rev. D
– volume: 267
  start-page: 181
  year: 2006
  ident: br0360
  publication-title: Commun. Math. Phys.
– volume: 22
  start-page: 128
  year: 1959
  ident: br0220
  publication-title: Prog. Theor. Phys.
– year: 2009
  ident: br0140
– volume: 385
  start-page: 404
  year: 1996
  ident: br0440
  publication-title: Phys. Lett. B
– volume: 20
  start-page: 365
  year: 1972
  ident: br0280
  publication-title: Fortschr. Phys.
– volume: 72
  start-page: 2139
  year: 2012
  ident: br0750
  publication-title: Eur. Phys. J. C
– volume: 6
  start-page: 1064
  year: 1957
  ident: br0020
  publication-title: Nuovo Cimento C
– volume: 23
  start-page: 733
  year: 1974
  ident: br0300
  publication-title: Nuovo Cimento A
– volume: 389
  start-page: 347
  year: 1997
  ident: br0450
  publication-title: Nucl. Instrum. Methods A
– volume: 14
  start-page: 396
  year: 1973
  ident: 10.1016/j.physletb.2025.139340_br0290
  publication-title: J. Math. Phys.
  doi: 10.1063/1.1666327
– ident: 10.1016/j.physletb.2025.139340_br0070
– volume: 79
  start-page: 57
  year: 2019
  ident: 10.1016/j.physletb.2025.139340_br0760
  publication-title: Eur. Phys. J. C
  doi: 10.1140/epjc/s10052-019-6533-x
– volume: 15
  start-page: 83
  year: 1969
  ident: 10.1016/j.physletb.2025.139340_br0260
  publication-title: Commun. Math. Phys.
  doi: 10.1007/BF01645374
– ident: 10.1016/j.physletb.2025.139340_br0140
– volume: 23
  start-page: 12
  year: 1989
  ident: 10.1016/j.physletb.2025.139340_br0310
  article-title: Hypergeometric functions and toral manifolds
  publication-title: Funkc. Anal. Prilozh.
– ident: 10.1016/j.physletb.2025.139340_br0350
– ident: 10.1016/j.physletb.2025.139340_br0660
– volume: MA2019
  year: 2022
  ident: 10.1016/j.physletb.2025.139340_br0590
  publication-title: PoS
– ident: 10.1016/j.physletb.2025.139340_br0100
– volume: 18
  start-page: 1
  year: 1970
  ident: 10.1016/j.physletb.2025.139340_br0270
  publication-title: Commun. Math. Phys.
  doi: 10.1007/BF01649638
– volume: 76
  start-page: 769
  year: 1949
  ident: 10.1016/j.physletb.2025.139340_br0010
  publication-title: Phys. Rev.
  doi: 10.1103/PhysRev.76.769
– volume: 22
  start-page: 128
  year: 1959
  ident: 10.1016/j.physletb.2025.139340_br0220
  publication-title: Prog. Theor. Phys.
  doi: 10.1143/PTP.22.128
– year: 2022
  ident: 10.1016/j.physletb.2025.139340_br0240
  article-title: Feynman Integrals. A Comprehensive Treatment for Students and Researchers
– ident: 10.1016/j.physletb.2025.139340_br0480
– volume: 72
  start-page: 2139
  year: 2012
  ident: 10.1016/j.physletb.2025.139340_br0750
  publication-title: Eur. Phys. J. C
  doi: 10.1140/epjc/s10052-012-2139-2
– volume: 1
  start-page: 429
  year: 1960
  ident: 10.1016/j.physletb.2025.139340_br0430
  publication-title: J. Math. Phys.
  doi: 10.1063/1.1703676
– volume: 80
  start-page: 1173
  year: 2020
  ident: 10.1016/j.physletb.2025.139340_br0090
  publication-title: Eur. Phys. J. C
  doi: 10.1140/epjc/s10052-020-08757-3
– ident: 10.1016/j.physletb.2025.139340_br0340
– volume: 2
  start-page: 301
  year: 1966
  ident: 10.1016/j.physletb.2025.139340_br0110
  publication-title: Commun. Math. Phys.
  doi: 10.1007/BF01773358
– ident: 10.1016/j.physletb.2025.139340_br0190
– volume: 109
  start-page: 497
  year: 2019
  ident: 10.1016/j.physletb.2025.139340_br0170
  publication-title: Lett. Math. Phys.
  doi: 10.1007/s11005-018-1114-8
– volume: 97
  year: 2018
  ident: 10.1016/j.physletb.2025.139340_br0610
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.97.105014
– volume: 11
  start-page: 453
  year: 2017
  ident: 10.1016/j.physletb.2025.139340_br0390
  publication-title: Commun. Number Theory Phys.
  doi: 10.4310/CNTP.2017.v11.n3.a1
– ident: 10.1016/j.physletb.2025.139340_br0200
– volume: 13
  start-page: 181
  year: 1959
  ident: 10.1016/j.physletb.2025.139340_br0210
  publication-title: Nucl. Phys.
  doi: 10.1016/0029-5582(59)90154-3
– ident: 10.1016/j.physletb.2025.139340_br0540
– volume: 50
  year: 2009
  ident: 10.1016/j.physletb.2025.139340_br0370
  publication-title: J. Math. Phys.
  doi: 10.1063/1.3106041
– ident: 10.1016/j.physletb.2025.139340_br0490
– volume: 814
  year: 2021
  ident: 10.1016/j.physletb.2025.139340_br0620
  publication-title: Phys. Lett. B
– ident: 10.1016/j.physletb.2025.139340_br0770
– volume: 38
  start-page: 438
  year: 1965
  ident: 10.1016/j.physletb.2025.139340_br0230
  publication-title: Nuovo Cimento
  doi: 10.1007/BF02750472
– volume: 20
  start-page: 365
  year: 1972
  ident: 10.1016/j.physletb.2025.139340_br0280
  publication-title: Fortschr. Phys.
  doi: 10.1002/prop.19720200603
– ident: 10.1016/j.physletb.2025.139340_br0630
– volume: 17
  start-page: 401
  year: 1957
  ident: 10.1016/j.physletb.2025.139340_br0030
  publication-title: Prog. Theor. Phys.
  doi: 10.1143/PTP.17.401
– volume: 178
  start-page: 596
  year: 2008
  ident: 10.1016/j.physletb.2025.139340_br0130
  publication-title: Comput. Phys. Commun.
  doi: 10.1016/j.cpc.2007.11.012
– ident: 10.1016/j.physletb.2025.139340_br0530
– volume: 188
  start-page: 148
  year: 2015
  ident: 10.1016/j.physletb.2025.139340_br0150
  publication-title: Comput. Phys. Commun.
  doi: 10.1016/j.cpc.2014.10.019
– volume: 54
  start-page: 6479
  year: 1996
  ident: 10.1016/j.physletb.2025.139340_br0160
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.54.6479
– volume: 385
  start-page: 404
  year: 1996
  ident: 10.1016/j.physletb.2025.139340_br0440
  publication-title: Phys. Lett. B
  doi: 10.1016/0370-2693(96)00835-0
– ident: 10.1016/j.physletb.2025.139340_br0520
– volume: 109
  year: 2024
  ident: 10.1016/j.physletb.2025.139340_br0600
  publication-title: Phys. Rev. D
– volume: 465
  start-page: 226
  year: 1999
  ident: 10.1016/j.physletb.2025.139340_br0690
  publication-title: Phys. Lett. B
  doi: 10.1016/S0370-2693(99)01061-8
– ident: 10.1016/j.physletb.2025.139340_br0180
– volume: 267
  start-page: 181
  year: 2006
  ident: 10.1016/j.physletb.2025.139340_br0360
  publication-title: Commun. Math. Phys.
  doi: 10.1007/s00220-006-0040-2
– ident: 10.1016/j.physletb.2025.139340_br0510
– start-page: 433
  year: 1968
  ident: 10.1016/j.physletb.2025.139340_br0250
– volume: 389
  start-page: 347
  year: 1997
  ident: 10.1016/j.physletb.2025.139340_br0450
  publication-title: Nucl. Instrum. Methods A
  doi: 10.1016/S0168-9002(97)00126-5
– volume: 81
  start-page: 244
  year: 2021
  ident: 10.1016/j.physletb.2025.139340_br0080
  publication-title: Eur. Phys. J. C
  doi: 10.1140/epjc/s10052-021-09036-5
– ident: 10.1016/j.physletb.2025.139340_br0410
– volume: 20
  start-page: 690
  year: 1958
  ident: 10.1016/j.physletb.2025.139340_br0040
  publication-title: Prog. Theor. Phys.
  doi: 10.1143/PTP.20.690
– start-page: 297
  year: 2014
  ident: 10.1016/j.physletb.2025.139340_br0060
– volume: 634
  start-page: 325
  year: 2006
  ident: 10.1016/j.physletb.2025.139340_br0460
  publication-title: Phys. Lett. B
  doi: 10.1016/j.physletb.2006.01.052
– ident: 10.1016/j.physletb.2025.139340_br0400
– volume: 71
  start-page: 1626
  year: 2011
  ident: 10.1016/j.physletb.2025.139340_br0710
  publication-title: Eur. Phys. J. C
  doi: 10.1140/epjc/s10052-011-1626-1
– volume: 830
  start-page: 474
  year: 2010
  ident: 10.1016/j.physletb.2025.139340_br0470
  publication-title: Nucl. Phys. B
  doi: 10.1016/j.nuclphysb.2009.12.025
– ident: 10.1016/j.physletb.2025.139340_br0320
– ident: 10.1016/j.physletb.2025.139340_br0380
– ident: 10.1016/j.physletb.2025.139340_br0730
– volume: 23
  start-page: 733
  year: 1974
  ident: 10.1016/j.physletb.2025.139340_br0300
  publication-title: Nuovo Cimento A
  doi: 10.1007/BF02821988
– volume: 108
  year: 2023
  ident: 10.1016/j.physletb.2025.139340_br0640
  publication-title: Phys. Rev. D
– volume: 585
  start-page: 741
  year: 2000
  ident: 10.1016/j.physletb.2025.139340_br0120
  publication-title: Nucl. Phys. B
  doi: 10.1016/S0550-3213(00)00429-6
– volume: 177
  start-page: 1
  year: 2002
  ident: 10.1016/j.physletb.2025.139340_br0700
  publication-title: Springer Tracts Mod. Phys.
  doi: 10.1007/3-540-44574-9_1
– ident: 10.1016/j.physletb.2025.139340_br0050
– volume: 522
  start-page: 321
  year: 1998
  ident: 10.1016/j.physletb.2025.139340_br0680
  publication-title: Nucl. Phys. B
  doi: 10.1016/S0550-3213(98)00138-2
– start-page: 415
  year: 2019
  ident: 10.1016/j.physletb.2025.139340_br0330
– volume: 6
  start-page: 1064
  year: 1957
  ident: 10.1016/j.physletb.2025.139340_br0020
  publication-title: Nuovo Cimento C
  doi: 10.1007/BF02747390
– volume: 131
  year: 2023
  ident: 10.1016/j.physletb.2025.139340_br0420
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.131.091601
– ident: 10.1016/j.physletb.2025.139340_br0720
– volume: 123
  year: 2019
  ident: 10.1016/j.physletb.2025.139340_br0550
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.123.201602
– ident: 10.1016/j.physletb.2025.139340_br0670
– volume: 67
  year: 2024
  ident: 10.1016/j.physletb.2025.139340_br0650
  publication-title: Sci. China, Phys. Mech. Astron.
– volume: 98
  year: 2018
  ident: 10.1016/j.physletb.2025.139340_br0580
  publication-title: Phys. Rev. D
– ident: 10.1016/j.physletb.2025.139340_br0740
– ident: 10.1016/j.physletb.2025.139340_br0500
– volume: 93
  year: 2016
  ident: 10.1016/j.physletb.2025.139340_br0570
  publication-title: Phys. Rev. D
– ident: 10.1016/j.physletb.2025.139340_br0560
SSID ssj0001506
Score 2.4758973
Snippet A transformation on homogeneous polynomials is proposed, which is further applied to parametric Feynman integrals. The two representations related through this...
SourceID doaj
crossref
elsevier
SourceType Open Website
Index Database
Publisher
StartPage 139340
SummonAdditionalLinks – databaseName: Elsevier SD Freedom Collection
  dbid: .~1
  link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3NS8MwFA9DELyInzi_6MFrtnZJmvQkcziGoBcd7FbyKRuuG1s9ePFvNy9ttZ48eCkkpOXx6-N9JO_9gtCNSYBeMmXY-XwCUyYJVtporJPYuETIVBpoTn58SidT-jBjsw4aNb0wUFZZ2_7KpgdrXc_0azT76_m8_xwT7hMIH38wSGwCjymlHLS89_lT5gEMeuEkgccYVre6hBc92D3w8CifJw5YzwdDBDZBWg4q8Pi3_FTL94wP0H4dNEbDSq5D1LHFEdoNxZt6e4xuh1Hgpmz6iIqobIWjfrhyEVB8L-H2LB2N7UexlEVUM0W8bU_QdHz_Mprg-mIErL3HKTFJU2cSlTg3EMw67ahQXBiaOptZC8UsOqMxUVlMNfXxhlM2dZxzZ_xTKEdO0U6xKuwZiqyhMXVCcs0U1SSTzDDjJFeOU6oS00X9Bo18XfFf5E1h2CJv8MsBv7zCr4vuALTv1cBfHSZWm9e8_oG5yry4xEgmGaVScZ-lZXA5VjKQQgkpuyhrIM9_qYP_1PwPAc7_8e4F2oNRVWR2iXbKzbu98lFHqa6DWn0BRgHXZQ
  priority: 102
  providerName: Elsevier
Title A representation transformation of parametric Feynman integrals
URI https://dx.doi.org/10.1016/j.physletb.2025.139340
https://doaj.org/article/b98d43da5a544ab79569186912a8b8aa
Volume 862
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1LS8NAEF60IngRn1gfJQev2ybd90lasbSKPVnobdknWDQVGw9e_O3u5iG59eJlISEswzch881m5hsAbm0W5SUpgT7kExAThaA21kCTpdZnXFFlY3Py85xOF_hxSZatUV-xJqySB66AG2jBLUZWEUUwVpoFPi_iGKVsqLjmqqRGIeY1yVT9DY66eeX_A5bCIRWo1Ru86sczgwCKDtnhkPQDBULx6KMVlkr1_lZ0akWcyRE4rKliMqpMPAY7Lj8B-2XJptmcgrtRUipSNt1DeVK0SGi4XPskCnu_x5lZJpm47_xd5UmtD_G2OQOLycPL_RTW4xCgCXGmgIhSbzOdeT_kxHnjMdcsgEO9E87FEhYjcIq0SLHBgWV47ahnjHkbVq49OgedfJ27C5A4i1PsuWKGaGyQUMQS6xXTnmGsM9sFgwYN-VGpXsimHGwlG_xkxE9W-HXBOIL293RUrS5vBF_K2pdymy-7QDSQy5oAVIE9bPW6xYDL_zDgChzELasas2vQKT6_3E0gHYXugd3-T9YDe6PZ03TeK9-2sM6W41_HYdjW
linkProvider Directory of Open Access Journals
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3JTtxAEC2xCMElCgGUyYYPcPSMl263fUCILKNhvQASt6bXaBB4EDNRxCU_xQ9S5YWYEwfExZLbdqv1ulRLu-oVwJaNiV4y46HHeCJkXKWhNtaEJo6sj3OVKUvFyccn2eicHVzwizl4aGthKK2y0f21Tq-0dTMyaNAc3I7Hg9MoFRhAoP_BKbCJ2szKQ3f_F-O26c7-T9zk7SQZ_jr7MQqb1gKhQZ09C9Ms8zbWsfdJzp03nuVa5JZl3hXOUTqIKViU6iJihqHF9tplXgjhLV5z7VOcdx4WGaoLapvQ__c_r4Qo-6pfFyIKaXmdsuSrPh1X4H5oDEwT3kfvK6VTl45FrBoHdAxjx9gN38O7xksN9mogVmHOlR9gqcoWNdM12N0LKjLMtnCpDGYd_xdvJz4gTvEbatdlgqG7L29UGTTUFNfTdTh_E7g2YKGclO4jBM6yiPlcCcM1M2mhuOXWK6G9YEzHtgeDFg15WxNuyDYT7Uq2-EnCT9b49eA7gfb0NhFmVwOTu9-ykRipC1xuahVXnDGlBYaFBXXjihOV61ypHhQt5PKZ_OFU4xcW8OkV327C8ujs-Ege7Z8cfoYVelJnuH2BhdndH_cVXZ6Z_laJWACXby3Tj7nHFfY
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=A+representation+transformation+of+parametric+Feynman+integrals&rft.jtitle=Physics+letters.+B&rft.au=Wen+Chen&rft.date=2025-03-01&rft.pub=Elsevier&rft.issn=0370-2693&rft.volume=862&rft.spage=139340&rft_id=info:doi/10.1016%2Fj.physletb.2025.139340&rft.externalDBID=DOA&rft.externalDocID=oai_doaj_org_article_b98d43da5a544ab79569186912a8b8aa
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0370-2693&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0370-2693&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0370-2693&client=summon