1. Modular flavour symmetries and modulus stabilisation
- Author
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P. P. Novichkov, J. T. Penedo, S. T. Petcov, Institut de Physique Théorique - UMR CNRS 3681 (IPHT), and Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)
- Subjects
CP Violation ,High Energy Physics - Theory ,symmetry: flavor ,Nuclear and High Energy Physics ,lepton ,[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] ,FOS: Physical sciences ,stability ,symmetry: CP ,quark ,High Energy Physics - Phenomenology ,mass: hierarchy ,High Energy Physics - Phenomenology (hep-ph) ,High Energy Physics - Theory (hep-th) ,[PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph] ,modular ,Theories of Flavour ,Supergravity Models - 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., Comment: 27 pages, 4 figures, 1 table; comments and references added; matches version published in JHEP
- Published
- 2022
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