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Modular Weights, U(1)'s and Mass Matrices
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abstract
We derive the scalar mass matrices in effective supergravity models augmented by a $U(1)_F$ family symmetry. Simple relations between $U(1)_F$ charges and modular weights of the superfields are derived and used to express the matrices with a minimum number of parameters. The model predicts a branching ratio for the $\mu\to e\gamma$ process close to the present experimental limits.
Forward citations
Cited by 3 Pith papers
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Phenomenology of Inverse Seesaw Using $S_3$ Modular Symmetry
A minimal S3 modular inverse seesaw model fits oscillation data and predicts inverted ordering, a massless lightest neutrino, and m_ee around 38 to 58 meV.
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Modular Invariant Models of Lepton Masses at Levels 4 and 5
Modular invariant lepton models at levels 4 and 5, using flavons for charged leptons and a single modulus for neutrinos, fit the data with five parameters and predict absolute neutrino masses and CP phases.
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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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