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arXiv · 1906.02208

Multiple modular symmetries as the origin of flavour

Ivo de Medeiros Varzielas·Stephen F. King·Ye-Ling Zhou
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Abstract

We develop a general formalism for multiple moduli and their associated modular symmetries. We apply this formalism to an example based on three moduli with finite modular symmetries $S_4^A$, $S_4^B$ and $S_4^C$, associated with two right-handed neutrinos and the charged lepton sector, respectively. The symmetry is broken by two bi-triplet scalars to the diagonal $S_4$ subgroup. The low energy effective theory involves the three independent moduli fields $\tau_A$, $\tau_B$ and $\tau_C$, which preserve the residual modular subgroups $Z_3^A$, $Z_2^B$ and $Z_3^C$, in their respective sectors, leading to trimaximal TM$_1$ lepton mixing, consistent with current data, without flavons.

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Ivo de Medeiros Varzielas, Stephen F. King, Ye-Ling Zhou. 2019-06-05. Multiple modular symmetries as the origin of flavour. https://doi.org/10.1103/physrevd.101.055033

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