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<p>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 <i>T</i>′. Otherwise equivalent models based on different <i>T</i>′ 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 <i>T</i>′ is implemented.</p>

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Multiple realizations of modular flavor symmetries and their phenomenology

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年6月11日

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  • Carlos Arriaga-Osante,
  • Mu-Chun Chen,
  • Ramón Díaz-Castro,
  • Xueqi Li,
  • Xiang-Gan Liu,
  • Saúl Ramos-Sánchez,
  • Michael Ratz

摘要

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.