Modular symmetry of soft supersymmetry breaking terms

Kikuchi, Shota; Kobayashi, Tatsuo; Nasu, Kaito; Otsuka, Hajime; Takada, Shiro; Uchida, Hitoshi

doi:10.48550/arxiv.2203.14667

Cited by 6 publications

(9 citation statements)

References 50 publications

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“…As a result, the flavor structure of Yukawa couplings and higher-dimensional operators are controlled by the modular flavor symmetry in the various class of string compactifications. Note that the supersymmetry breaking sector also respects the flavor symmetry as seen in the soft supersymmetry breaking terms induced by the moduli fields [141].…”

Section: Stringy Ansatzmentioning

confidence: 99%

“…Although modular flavor models have been constructed in the supersymmetric framework so far, the modular invariant SMEFT will be realized in the so-called moduli-mediated supersymmetry breaking scenario. Indeed, the soft supersymmetry breaking terms are generated in a modular invariant way [141]. Furthermore, higher-dimensional operators also keep the modular invariance in a certain class of the string EFT in which n-point couplings of matter fields are written by a product of 3-point couplings.…”

Section: Introductionmentioning

confidence: 99%

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Lepton flavor violation, lepton $(g-2)_{μ,\,e}$ and electron EDM in the modular symmetry

Kobayashi,

Otsuka,

Tanimoto

et al. 2022

Preprint

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We study the lepton flavor violation (LFV), the leptonic magnetic moments (g − 2) µ, e and the electric dipole moment (EDM) of the electron in the Standard-Model Effective Field Theory with the Γ N modular flavor symmetry. We employ the stringy Ansatz on coupling structure that 4-point couplings of matter fields are written by a product of 3-point couplings of matter fields. We take the level 3 finite modular group, Γ 3 for the flavor symmetry, and discuss the dipole operators at nearby fixed point τ = i, where observed lepton masses and mixing angles are well reproduced. Suppose the anomaly of the anomalous magnetic moment of the muon to be evidence of the new physics (NP), we have related it with (g − 2) e , LFV decays, and the electron EDM. It is found that the NP contribution to (g − 2) e is proportional to the lepton masses squared likewise the naive scaling. We also discuss the correlations among the LFV processes µ → eγ, τ → µγ and τ → eγ, which are testable in the future. The electron EDM requires the tiny imaginary part of the relevant Wilson coefficient in the basis of real positive charged lepton masses, which is related to the µ → eγ transition in our framework.

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Section: Stringy Ansatzmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Lepton flavor violation, lepton $(g-2)_{μ,\,e}$ and electron EDM in the modular symmetry

Kobayashi,

Otsuka,

Tanimoto

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Although modular flavor models have been constructed in the supersymmetric framework so far, the modular invariant SMEFT will be realized in the socalled moduli-mediated supersymmetry breaking scenario. Indeed, the soft supersymmetry breaking terms are generated in a modular invariant way [141]. Furthermore, higherdimensional operators also keep the modular invariance in a certain class of the string EFT in which n-point couplings of matter fields are written by a product of 3-point couplings.…”

Section: Jhep08(2022)013mentioning

confidence: 99%

“…Note that the supersymmetry breaking sector also respects the flavor symmetry as seen in the soft supersymmetry breaking terms induced by the moduli fields [141].…”

Section: Jhep08(2022)013mentioning

confidence: 99%

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

Kobayashi

Otsuka

Tanimoto

et al. 2022

J. High Energ. Phys.

Self Cite

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We study the lepton flavor violation (LFV), the leptonic magnetic moments (g − 2)μ, e and the electric dipole moment (EDM) of the electron in the Standard-Model Effective Field Theory with the ΓN modular flavor symmetry. We employ the stringy Ansatz on coupling structure that 4-point couplings of matter fields are written by a product of 3-point couplings of matter fields. We take the level 3 finite modular group, Γ3 for the flavor symmetry, and discuss the dipole operators at nearby fixed point τ = i, where observed lepton masses and mixing angles are well reproduced. Suppose the anomaly of the anomalous magnetic moment of the muon to be evidence of the new physics (NP), we have related it with (g − 2)e, LFV decays, and the electron EDM. It is found that the NP contribution to (g − 2)e is proportional to the lepton masses squared likewise the naive scaling. We also discuss the correlations among the LFV processes μ → eγ, τ → μγ and τ → eγ, which are testable in the future. The electron EDM requires the tiny imaginary part of the relevant Wilson coefficient in the basis of real positive charged lepton masses, which is related to the μ → eγ transition in our framework.

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“…[60][61][62][63]. In the modular symmetric framework, soft supersymmetry breaking terms [64] and modular stabilization [65][66][67][68][69] are also discussed. For other phenomenological applications, for example, the application of modular symmetry to grand-unified theories is discussed in refs.…”

Section: Introductionmentioning

confidence: 99%

Subcritical regime of hybrid inflation with modular A4 symmetry

Gunji

Ishiwata

Yoshida

2022

J. High Energ. Phys.

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We consider a supergravity model that has the modular A4 symmetry and discuss the interplay between the neutrino mixing and inflation. The model contains right- handed neutrinos that have the Majorana masses and additional Yukawa couplings to the waterfall field. In the model an active neutrino is massless and we find that only the inverted hierarchy is allowed and the Majorana phase is predicted to be around ±(120–180)° from the observed neutrino mixing data. In the early universe, one of right-handed sneutrinos plays the role of the inflaton field. Focusing on the subcritical regime of the hybrid inflation that is consistent with the cosmic microwave background data, we analyze the dynamics of the scalar sector and derive an upper bound (1010) GeV on the scale of the Majorana mass.

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Modular symmetry of soft supersymmetry breaking terms

Cited by 6 publications

References 50 publications

Lepton flavor violation, lepton $(g-2)_{μ,\,e}$ and electron EDM in the modular symmetry

Lepton flavor violation, lepton $(g-2)_{μ,\,e}$ and electron EDM in the modular symmetry

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

Subcritical regime of hybrid inflation with modular A4 symmetry

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