Twin modular S4 with SU(5) GUT

A bstract We discuss the SU(5) grand unified extension of flavour models with multiple modular symmetries. The proposed model involves two modular S 4 groups, one acting in the charged fermion sector, associated with a modulus field value τ T with residual Z 3 T symmetry, and one acting in the right...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2021; no. 4
Main Authors King, Stephen F., Zhou, Ye-Ling
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2021
Springer Nature B.V
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Summary:A bstract We discuss the SU(5) grand unified extension of flavour models with multiple modular symmetries. The proposed model involves two modular S 4 groups, one acting in the charged fermion sector, associated with a modulus field value τ T with residual Z 3 T symmetry, and one acting in the right-handed neutrino sector, associated with another modulus field value τ SU with residual Z 2 SU symmetry. Quark and lepton mass hierarchies are naturally generated with the help of weightons, which are SM singlet fields, where their non-zero modular weights play the role of Froggatt-Nielsen charges. The model predicts TM 1 lepton mixing, and neutrinoless double beta decay at rates close to the sensitivity of current and future experiments, for both normal and inverted orderings, with suppressed corrections from charged lepton mixing due to the triangular form of its Yukawa matrix.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP04(2021)291