Fermion Mass Hierarchies from Modular Symmetry
| Autor: | Stephen F. King, Simon J. D. King |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Quark
Physics Nuclear and High Energy Physics Field (physics) 010308 nuclear & particles physics High Energy Physics::Phenomenology FOS: Physical sciences Discrete Symmetries Fermion 01 natural sciences 7. Clean energy Symmetry (physics) High Energy Physics - Phenomenology Theoretical physics Standard Model (mathematical formulation) High Energy Physics - Phenomenology (hep-ph) 0103 physical sciences lcsh:QC770-798 Neutrino Physics lcsh:Nuclear and particle physics. Atomic energy. Radioactivity Neutrino 010306 general physics Mixing (physics) Lepton |
| Zdroj: | Journal of High Energy Physics, Vol 2020, Iss 9, Pp 1-30 (2020) Journal of High Energy Physics |
| DOI: | 10.48550/arxiv.2002.00969 |
| Popis: | We show how quark and lepton mass hierarchies can be reproduced in the framework of modular symmetry. The mechanism is analogous to the Froggatt-Nielsen (FN) mechanism, but without requiring any Abelian symmetry to be introduced, nor any Standard Model (SM) singlet flavon to break it. The modular weights of fermion fields play the role of FN charges, and SM singlet fields with non-zero modular weight called weightons play the role of flavons. We illustrate the mechanism by analysing $A_4$ (modular level 3) models of quark and lepton (including neutrino) masses and mixing, with a single modulus field. We discuss two examples in some detail, both numerically and analytically, showing how both fermion mass and mixing hierarchies emerge from different aspects of the modular symmetry. Comment: 30 pages, matches version published in JHEP |
| Databáze: | OpenAIRE |
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