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Minimal Type-I Dirac seesaw and Leptogenesis under A₄ modular invariance
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Minimal Type-I Dirac seesaw and Leptogenesis under A₄ modular invariance
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We present a Dirac mass model based on $A_{4}$ modular symmetry within Type-I seesaw framework. This extension of Standard Model requires three right-handed neutrinos and three heavy Dirac fermions superfields, all singlet under $SU(2)_{L}$ symmetry. The scalar sector is extended by the inclusion of a $SU(2)_{L}$ singlet superfield, $\chi$. Here, the modular symmetry plays a crucial role as the Yukawa couplings acquire modular forms, which are expressed in terms of Dedekind eta function $\eta(\tau)$. Therefore, the Yukawa couplings follow transformations akin to other matter fields, thereby obviating the necessity of additional flavon fields. The acquisition of $vev$ by complex modulus $\tau$ leads to the breaking of $A_{4}$ modular symmetry. We have obtained predictions on neutrino oscillation parameters, for example, the normal hierarchy for the neutrino mass spectrum. Furthermore, we find that heavy Dirac fermions, in our model, can decay to produce observed baryon asymmetry of the Universe through Dirac leptogenesis.
Forward citations
Cited by 4 Pith papers
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Dirac one-loop seesaw in a non-invertible fusion rule
A one-loop Dirac neutrino mass model stabilized by a non-invertible fusion rule from Z3 x Z3' accommodates oscillation data and provides a viable bosonic dark matter candidate.
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A Non-Holomorphic Modular $A_4$ Framework for Resonant Leptogenesis with Gravitational Wave Signatures
A non-holomorphic modular A4 seesaw model yields quasi-degenerate right-handed neutrinos, enabling resonant leptogenesis at ~10^6 GeV and a double-peaked gravitational-wave signature.
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Predictions of Modular Symmetry Fixed Points on Neutrino Masses, Mixing, and Leptogenesis
Fixed points of modular symmetry in a type III seesaw model produce viable neutrino phenomenology and the observed baryon asymmetry.
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Fate of $\theta_{12}$ under $\mu-\tau$ Reflection Symmetry in Light of the First JUNO Results
A model with μ-τ reflection symmetry from A4 predicts sin²θ12 ≳ 0.335 which is disfavored by JUNO results, leaving a surviving scenario with testable correlations to model parameters.
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