Electron EDM arising from modulus τ in the supersymmetric modular invariant flavor models

Tanimoto, Morimitsu; Yamamoto, Kei

doi:10.1007/jhep10(2021)183

Cited by 16 publications

(2 citation statements)

References 149 publications

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“…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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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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“…The SUSY flavor phenomena of lepton flavor violations (LFV) for lepton sector have been discussed in the traditional flavor symmetry models [96][97][98] and modular flavor models [83,99]. In this section we will discuss the SUSY flavor phenomena in our minimal modular lepton model.…”

Section: Lepton Flavor Violation In the Minimal Modular Modelmentioning

confidence: 99%

A minimal modular invariant neutrino model

Ding¹,

Liu²,

Yao³

2022

Preprint

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We present a neutrino mass model based on modular symmetry with the fewest input parameters to date, which successfully accounts for the 12 lepton masses and mixing parameters through 6 real free parameters including the modulus. The neutrino masses are predicted to be normal ordering, the atmospheric angle θ 23 is quite close to maximal value and the Dirac CP phase δ CP is about 1.34π. We also study the soft supersymmetry breaking terms due to the modulus F -term in this minimal model, which are constrained to be the non-holomorphic modular forms. The radiative lepton flavor violation process µ → eγ is discussed.

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A minimal modular invariant neutrino model

Ding

Liu

Yao

2023

J. High Energ. Phys.

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We present a neutrino mass model based on modular symmetry with the fewest input parameters to date, which successfully accounts for the 12 lepton masses and mixing parameters through 6 real free parameters including the modulus. The neutrino masses are predicted to be normal ordering, the atmospheric angle θ23 is quite close to maximal value and the Dirac CP phase δCP is about 1.34π. We also study the soft supersymmetry breaking terms due to the modulus F-term in this minimal model, which are constrained to be the non-holomorphic modular forms. The radiative lepton flavor violation process μ → eγ is discussed.

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Electron EDM arising from modulus τ in the supersymmetric modular invariant flavor models

Cited by 16 publications

References 149 publications

Neutrino mass and mixing with modular symmetry

Neutrino mass and mixing with modular symmetry

A minimal modular invariant neutrino model

A minimal modular invariant neutrino model

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