Lepton flavor violation, lepton (g − 2)μ, e and electron EDM in the modular symmetry

Kobayashi, Tatsuo; Otsuka, Hajime; Tanimoto, Morimitsu; Yamamoto, Kei

doi:10.1007/jhep08(2022)013

Cited by 15 publications

(3 citation statements)

References 178 publications

(135 reference statements)

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“…When we assign family-independent Z 2 or Z 3 charges for matter multiplets around these fixed points, one would realize the R-parity or baryon triality along the line of our analysis. It is interesting to apply these analysis on the phenomenology of modular flavor models around fixed points [42,45,[80][81][82][83][84][85][86][87][88][89][90][91][92][93].…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Generalized Matter Parities from Finite Modular Symmetries

Kobayashi¹,

Nishimura²,

Otsuka³

et al. 2022

Preprint

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We classify a supersymmetric extension of the Standard Model by discrete symmetries originating from finite modular symmetries Γ N . Since all the couplings in supersymmetric theories of finite modular symmetries Γ N are described by holomorphic modular forms with even modular weights, renormalizable and non-renormalizable operators such as baryon-and/or lepton-number violating operators are severely constrained. From the modular transformation of matter multiplets with modular weight 1/M , we find Z 2M symmetries, including the generalized baryon and lepton parities, R-parity, Z 3 baryon triality and Z 6 proton hexality. Such Z M symmetries are enlarged to Z M Z CP 2 symmetries together with the CP transformation.

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Section: Conclusion and Discussionmentioning

confidence: 99%

Generalized Matter Parities from Finite Modular Symmetries

Kobayashi¹,

Nishimura²,

Otsuka³

et al. 2022

Preprint

Self Cite

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show abstract

“…Hence the modular invariant models could involve a small number of free parameters, and they can predict not only the lepton mixing but also lepton masses. Moreover, modular symmetry has been used to address the strong CP problem [279,280], and it is also exploited to new physics beyond SM [281][282][283][284][285][286][287][288][289][290][291][292][293]. The 28 The representation ρφ and weight kφ of matter fields can be freely assigned in bottom-up models, while they could possibly be fixed in the top-down approach [156,157,239,240,278].…”

Section: General Model Building Considerations and Overview Of Modelsmentioning

confidence: 99%

Neutrino mass and mixing with modular symmetry

Ding,

King

2024

Rep. Prog. Phys.

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This is a review article about neutrino mass and mixing and flavour model building strategies based on modular symmetry. After an introduction to neutrino mass and lepton mixing, we then turn to the main subject of this review, namely a pedagogical introduction to modular symmetry as a candidate for family symmetry, from the bottom-up point of view. After an informal introduction to modular symmetry, we introduce the modular group, and discuss its fixed points and residual symmetry, assuming supersymmetry throughout. We then introduce finite modular groups of level N and modular forms with integer or rational modular weights, corresponding to simple geometric groups or their double or metaplectic covers, including the most general finite modular groups and vector-valued modular forms, with detailed results for N=2,3,4,5. The interplay between modular symmetry and generalized CP symmetry is discussed, deriving CP transformations on matter multiplets and modular forms, highlighting the CP fixed points and their implications. In general, compactification of extra dimensions generally leads to a number of moduli, and modular invariance with factorizable and non-factorizable multiple moduli based on symplectic modular invariance and automorphic forms is reviewed. Modular strategies for understanding fermion mass hierarchies are discussed, including the weighton mechanism, small deviations from fixed points, and texture zeroes. Then examples of modular models are discussed based on single modulus A4 models, a minimal S′4 model of leptons (and quarks), and a multiple moduli model based on three S4 groups capable of reproducing the Littlest Seesaw model. We then extend the discussion to include Grand Unified Theories (GUTs) based on modular (flipped) SU(5) and SO(10). Finally we discuss top-down approaches, including eclectic flavour symmetry and moduli stabilisation.

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“…Other applications of modular symmetry to new physics beyond SM were discussed in refs. [39][40][41][42][43].…”

Section: Jhep11(2023)083mentioning

confidence: 99%

Modular binary octahedral symmetry for flavor structure of Standard Model

Ding,

Liu,

et al. 2023

J. High Energ. Phys.

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We have investigated the modular binary octahedral group 2O as a flavor symmetry to explain the structure of Standard Model. The vector-valued modular forms in all irreducible representations of this group are constructed. We have classified all possible fermion mass models based on the modular binary octahedral group 2O. A comprehensive numerical analysis is performed, and we present some benchmark quark/lepton mass models in good agreement with the experimental data. Notably we find a minimal modular invariant model for leptons and quarks, which is able to explain simultaneously the masses and mixing parameters of both quarks and leptons in terms of 14 real free parameters including the modulus τ. The fermion mass hierarchies around the vicinity of the modular fixed points are explored.

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Lepton flavor violation, lepton (g − 2)μ, e and electron EDM in the modular symmetry

Cited by 15 publications

References 178 publications

Generalized Matter Parities from Finite Modular Symmetries

Generalized Matter Parities from Finite Modular Symmetries

Neutrino mass and mixing with modular symmetry

Modular binary octahedral symmetry for flavor structure of Standard Model

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