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Modular A 4 symmetry models of neutrinos and charged leptons

Modular A 4 symmetry models of neutrinos and charged leptons
Modular A 4 symmetry models of neutrinos and charged leptons

We present a comprehensive analysis of neutrino mass and lepton mixing in theories with A4 modular symmetry, where the only flavon field is the single modulus field τ, and all masses and Yukawa couplings are modular forms. Similar to previous analyses, we discuss all the simplest neutrino sectors arising from both the Weinberg operator and the type I seesaw mechanism, with lepton doublets and right-handed neutrinos assumed to be triplets of A4. Unlike previous analyses, we allow right-handed charged leptons to transform as all combinations of 1, 1′ and 1′′ representations of A4, using the simplest different modular weights to break the degeneracy, leading to ten different charged lepton Yukawa matrices, instead of the usual one. This implies ten different Weinberg models and thirty different type I seesaw models, which we analyse in detail. We find that fourteen models for both NO and IO neutrino mass ordering can accommodate the data, as compared to one in previous analyses, providing many new possibilities.

Discrete Symmetries, Neutrino Physics
1126-6708
Ding, Gui Jun
65280d32-40be-4950-a54f-f130e4f8699a
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
Liu, Xiang Gan
b1fe9405-dd50-419d-90b0-034f5943791b
Ding, Gui Jun
65280d32-40be-4950-a54f-f130e4f8699a
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
Liu, Xiang Gan
b1fe9405-dd50-419d-90b0-034f5943791b

Ding, Gui Jun, King, Stephen F. and Liu, Xiang Gan (2019) Modular A 4 symmetry models of neutrinos and charged leptons. Journal of High Energy Physics, 2019 (9), [74]. (doi:10.1007/JHEP09(2019)074).

Record type: Article

Abstract

We present a comprehensive analysis of neutrino mass and lepton mixing in theories with A4 modular symmetry, where the only flavon field is the single modulus field τ, and all masses and Yukawa couplings are modular forms. Similar to previous analyses, we discuss all the simplest neutrino sectors arising from both the Weinberg operator and the type I seesaw mechanism, with lepton doublets and right-handed neutrinos assumed to be triplets of A4. Unlike previous analyses, we allow right-handed charged leptons to transform as all combinations of 1, 1′ and 1′′ representations of A4, using the simplest different modular weights to break the degeneracy, leading to ten different charged lepton Yukawa matrices, instead of the usual one. This implies ten different Weinberg models and thirty different type I seesaw models, which we analyse in detail. We find that fourteen models for both NO and IO neutrino mass ordering can accommodate the data, as compared to one in previous analyses, providing many new possibilities.

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Accepted/In Press date: 24 August 2019
e-pub ahead of print date: 10 September 2019
Published date: September 2019
Keywords: Discrete Symmetries, Neutrino Physics

Identifiers

Local EPrints ID: 435114
URI: http://eprints.soton.ac.uk/id/eprint/435114
ISSN: 1126-6708
PURE UUID: 37777586-0035-488d-aa17-d86b98d4198a

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Date deposited: 23 Oct 2019 16:30
Last modified: 14 Sep 2021 18:20

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