Finite modular subgroups for fermion mass matrices and baryon/lepton number violation
By Tatsuo C. Kobayashi, Yusuke Shimizu, Kenta Takagi, M. Tanimoto, T. H. Tatsuishi, Hikaru Uchida. Physics Letters B, 2018
150 citations recorded by the source corpus.
Abstract We study a flavor model that the quark sector has the S 3 modular symmetry while the lepton sector has the A 4 modular symmetry. Our model leads to characteristic quark mass matrices which are consistent with experimental data of quark masses, mixing angles and the CP violating phase. The lepton sector is also consistent with the experimental data of neutrino oscillations. We also study baryon and lepton number violations in our flavor model.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/4a66ad4e9b54c4911c8eabad1f21428766d8f5f2
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In Nuclear and High Energy Physics
- Z. Xing
- A. Titov
- P. Novichkov
- S. Petcov
- J. Penedo
- Gui-Jun Ding
- Xiang-Gan Liu
- Patrick K. S. Vaudrevange
Citations in the corpus
- Neutrino masses and mixing from double covering of finite modular groups (2019, background): “The observed quark masses and CKM mixing matrix can be accommodated in modular invariant models [17, 21, 27].”
- Generalised CP symmetry in modular-invariant models of flavour (2019, methodology): “ses. For N 5, the nite modular groups are isomorphic to permutation groups (see, e.g., [22]) used to build models of lepton and quark avours. Until now models based on the nite modular groups 2 ’S 3 [23,24], 3 ’A 4 [21,23{29], 4 ’S 4 [30,31] and 5 ’A 5 [32,33] have been constructed in the literature”
- Flavor structures of charged fermions and massive neutrinos (2019, background): “In addition to an early and general description of some typical finite modular symmetry groups and their possible phenomenological applications [959], some concrete model-building exercises based on modular A4 [776, 777, 778, 974, 975, 977, 978, 979, 980, 981, 982], modular S 3 [781], modular S 4 [9”
- Unification of flavor, CP, and modular symmetries (2019, background): “It would also connect to bottom-up constructions that use duality transformations for models of mixing in the quark and especially the lepton sector [21–33], although there are two major differences between these studies and our present point of view.”