Leptogenesis, $0νββ$ and lepton flavor violation in modular left-right asymmetric model with polyharmonic $Maaβ$ forms

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Autores principales: Kumar, Bhabana, Das, Mrinal Kumar
Formato: Preprint
Publicado: 2025
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author Kumar, Bhabana
Das, Mrinal Kumar
author_facet Kumar, Bhabana
Das, Mrinal Kumar
contents In the absence of supersymmetry, modular forms need not be holomorphic functions of the modulus $τ$. Using this idea, we construct a non-supersymmetric framework using polyharmonic $Maaβ$ forms. In this approach, the Yukawa coupling is no longer strictly holomorphic in $τ$ but instead incorporates both holomorphic and non-holomorphic components. We realize a non-supersymmetric, left-right asymmetric model based on the $Γ_3$ modular group, where the active neutrino masses are generated via an extended inverse seesaw mechanism. The model successfully predicts the sum of neutrino masses below the current experimental bound and accommodates neutrino mixing angles within the $3σ$ range. Given its strong predictive power in neutrino oscillation parameters, we further explore its implications for beyond Standard Model (BSM) phenomena, including neutrinoless double beta ($0νββ$) decay, lepton flavor violation (LFV), and baryogenesis via leptogenesis (BAU). Our findings indicate that the model predicts an effective Majorana mass and LFV branching ratios consistent with experimental constraints while also providing a viable explanation for the observed baryon asymmetry through resonant leptogenesis.
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publishDate 2025
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spellingShingle Leptogenesis, $0νββ$ and lepton flavor violation in modular left-right asymmetric model with polyharmonic $Maaβ$ forms
Kumar, Bhabana
Das, Mrinal Kumar
High Energy Physics - Phenomenology
In the absence of supersymmetry, modular forms need not be holomorphic functions of the modulus $τ$. Using this idea, we construct a non-supersymmetric framework using polyharmonic $Maaβ$ forms. In this approach, the Yukawa coupling is no longer strictly holomorphic in $τ$ but instead incorporates both holomorphic and non-holomorphic components. We realize a non-supersymmetric, left-right asymmetric model based on the $Γ_3$ modular group, where the active neutrino masses are generated via an extended inverse seesaw mechanism. The model successfully predicts the sum of neutrino masses below the current experimental bound and accommodates neutrino mixing angles within the $3σ$ range. Given its strong predictive power in neutrino oscillation parameters, we further explore its implications for beyond Standard Model (BSM) phenomena, including neutrinoless double beta ($0νββ$) decay, lepton flavor violation (LFV), and baryogenesis via leptogenesis (BAU). Our findings indicate that the model predicts an effective Majorana mass and LFV branching ratios consistent with experimental constraints while also providing a viable explanation for the observed baryon asymmetry through resonant leptogenesis.
title Leptogenesis, $0νββ$ and lepton flavor violation in modular left-right asymmetric model with polyharmonic $Maaβ$ forms
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2504.21701