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arXiv · 2201.02020

Modular Flavour Symmetries and Modulus Stabilisation

P. P. Novichkov·J. T. Penedo·S. T. Petcov
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Abstract

We study the problem of modulus stabilisation in the framework of the modular symmetry approach to the flavour problem. By analysing simple UV-motivated CP-invariant potentials for the modulus $\tau$ we find that a class of these potentials has (non-fine-tuned) CP-breaking minima in the vicinity of the point of $\mathbb{Z}_3^{ST}$ residual symmetry, $\tau \simeq e^{2\pi i/3}$. Stabilising the modulus at these novel minima breaks spontaneously the CP symmetry and can naturally explain the mass hierarchies of charged leptons and possibly of quarks.

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P. P. Novichkov, J. T. Penedo, S. T. Petcov. 2022-01-06. Modular Flavour Symmetries and Modulus Stabilisation. https://doi.org/10.1007/jhep03(2022)149

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