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arxiv 2409.05270 v1 pith:VR3XDUXM submitted 2024-09-09 hep-ph hep-th

Yukawa textures from non-invertible symmetries

classification hep-ph hep-th
keywords non-invertibletexturessymmetriessymmetryleptonsmathbbquarksrealized
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Phenomenological aspects of non-invertible symmetries, in particular the flavor structure of quarks and leptons, are studied. We start with a $\mathbb{Z}_M$ discrete symmetry and gauge $\mathbb{Z}_2$ so as to obtain a non-invertible symmetry. We study which Yukawa textures can be derived from the non-invertible symmetries. Various textures can be realized and some of them cannot be realized by a conventional symmetry. For example, the nearest neighbor interaction texture as well as other interesting textures of quarks and leptons are obtained.

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