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

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Abstract
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 Maaß 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 Γ3 ≅ A 4 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 matter-antimatter asymmetry of the universe. Our findings indicate that the model predicts an effective Majorana mass and branching ratios for LFV processes consistent with experimental constraints while also providing a viable explanation for the observed baryon asymmetry through resonant leptogenesis.

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