More about quark Yukawa textures from selection rules without group actions

Abstract

We study the coupling selection rules associated with non-group symmetries, i.e., ${\mathbb{Z}}_2$ gauging of ${\mathbb{Z}}_M$ symmetries. We clarify which Yukawa textures can be derived by our selection rules for $M=3,4$, and 5, and obtain various textures including the the nearest neighbor interaction type and its extension. Some of them cannot be realized by a conventional group-like symmetry. They lead to interesting phenomenology such as a solution to the strong CP problem without axion.

31 pages, v3:published version

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Cited by in corpus (6)

• Lepton mass textures from non-invertible multiplication rules
• Coupling Selection Rules in Heterotic Calabi-Yau Compactifications
• Effective description of Nelson-Barr models and the theta parameter
• The Minimal Supersymmetric Standard Model with Non-Invertible Selection Rules
• Conformal Bootstrap with Duality-Inspired Fusion Rule
• Radiative neutrino mass models from non-invertible selection rules