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New A(4) lepton flavor model from S-4 modular symmetry

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Title: New A(4) lepton flavor model from S-4 modular symmetry
Authors: Kobayashi, Tatsuo Browse this author →KAKEN DB
Shimizu, Yusuke Browse this author
Takagi, Kenta Browse this author
Tanimoto, Morimitsu Browse this author
Tatsuishi, Takuya H. Browse this author
Keywords: Discrete Symmetries
Neutrino Physics
Compactification and String Models
CP violation
Issue Date: 17-Feb-2020
Publisher: Springer
Journal Title: Journal of High Energy Physics
Issue: 2
Start Page: 97
Publisher DOI: 10.1007/JHEP02(2020)097
Abstract: 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.
Rights: https://creativecommons.org/licenses/by/4.0/
Type: article
URI: http://hdl.handle.net/2115/77544
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

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