Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 2, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP02(2020)097
Keywords
Discrete Symmetries; Neutrino Physics; Compactification and String Models; CP violation
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Funding
- MEXT KAKENHI [JP19H04605]
- JSPS [18J11233]
- JSPS KAKENHI [JP17K05418]
- Fujyukai Foundation
- Grants-in-Aid for Scientific Research [18J11233] Funding Source: KAKEN
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We study a flavor model with A(4) symmetry which originates from S-4 modular group. In S-4 symmetry, Z(2) subgroup can be anomalous, and then S-4 can be violated to A(4). Starting with a S-4 symmetric Lagrangian at the tree level, the Lagrangian at the quantum level has only A(4) symmetry when Z(2) in S-4 is anomalous. We obtain modular forms of two singlets and a triplet representations of A(4) by decomposing S-4 modular forms into A(4) representations. We propose a new A(4) flavor model of leptons by using those A(4) modular forms. We succeed in constructing a viable neutrino mass matrix through the Weinberg operator for both normal hierarchy (NH) and inverted hierarchy (IH) of neutrino masses. Our predictions of the CP violating Dirac phase delta(CP) and the mixing sin(2)theta(23) depend on the sum of neutrino masses for NH.
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