Multiple realizations of modular flavor symmetries and their phenomenology

Carlos Arriaga-Osante; Mu-Chun Chen; Ramon Diaz-Castro; Xueqi Li; Xiang-Gan Liu; Saul Ramos-Sanchez; Michael Ratz

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arXiv · 2502.12270

Multiple realizations of modular flavor symmetries and their phenomenology

Carlos Arriaga-Osante·Mu-Chun Chen·Ramon Diaz-Castro·Xueqi Li·Xiang-Gan Liu·Saul Ramos-Sanchez·Michael Ratz

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Abstract

We point out that specifying the finite modular group does not uniquely fix a modular flavor symmetry. We illustrate this using the finite modular group $T'$. Otherwise equivalent models based on different $T'$ lead to modular forms with different properties and, hence, produce different phenomenological features. We exemplify this in various scenarios, and show that the ability of a given model to accommodate mass and other observed hierarchies depends sensitively on the way the $T'$ is implemented.

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Carlos Arriaga-Osante, Mu-Chun Chen, Ramon Diaz-Castro, Xueqi Li, Xiang-Gan Liu, Saul Ramos-Sanchez, Michael Ratz. 2025-02-17. Multiple realizations of modular flavor symmetries and their phenomenology. https://arxiv.org/abs/2502.12270

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