Modular Flavour Symmetries and Modulus Stabilisation

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.

arXiv comment27 pages, 4 figures, 1 table; comments and references added; matches version published in JHEP

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Cited by in corpus (5)

• Heterotic de Sitter Beyond Modular Symmetry
• Residual flavor symmetry breaking in the landscape of modular flavor models
• $A_4$ Modular Flavour Model of Quark Mass Hierarchies close to the Fixed Point $\tau =\omega$
• Littlest Modular Seesaw
• Texture zeros of quark mass matrices at fixed point $\tau =\omega$ in modular flavor symmetry