Twin modular S 4 with SU(5) GUT

Abstract 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 $$ {Z}_3^T $$ symmetry, and one acting...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2021; no. 4; pp. 1 - 26
Main Authors Stephen F. King, Ye-Ling Zhou
Format Journal Article
LanguageEnglish
Published SpringerOpen 29.04.2021
Subjects
Discrete Symmetries
GUT
Neutrino Physics
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Summary:Abstract 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 $$ {Z}_3^T $$ symmetry, and one acting in the right-handed neutrino sector, associated with another modulus field value τ SU with residual Z 2 SU $$ {Z}_2^{SU} $$ 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 TM1 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
DOI:10.1007/JHEP04(2021)291