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Quarks at the modular $S_4$ cusp
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abstract
We analyse the possibility of describing quark masses, mixing and CP violation in $S'_4$ modular flavour models without flavons. We focus on the case where the closeness of the modulus to the point of residual $\mathbb{Z}^{ST}_3$ symmetry (the cusp) plays a role in generating quark mass hierarchies and discuss the role modular form normalisations play in such constructions. We find that fitting quark data requires explicit CP breaking, unless a second modulus is introduced.
Forward citations
Cited by 3 Pith papers
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A Predictive Non-Holomorphic Modular $A_4$ Linear Seesaw Framework Testable at DUNE
A non-holomorphic modular A4 linear seesaw model with six singlet fermions and one flavon reproduces observed neutrino mixing and predicts absolute mass and 0νββ ranges that DUNE and other experiments can test.
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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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Neutrino Mass Predictions with an AI-based Algorithm under $A_4$ Modular Symmetry
An A4 modular linear-seesaw neutrino model is fitted with the ILA optimizer, and the fitted parameters agree with oscillation and cosmological bounds.
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