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<p>We study the coupling selection rules associated with non-group symmetries, i.e., ℤ<sub>2</sub> gauging of ℤ<sub><i>M</i></sub> symmetries. We clarify which Yukawa textures can be derived by our selection rules for <i>M</i> = 3<i>,</i> 4, and 5, and obtain various textures including 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.</p>

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More about quark Yukawa textures from selection rules without group actions

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月21日

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  • Tatsuo Kobayashi,
  • Yume Nishioka,
  • Hajime Otsuka,
  • Morimitsu Tanimoto

摘要

We study the coupling selection rules associated with non-group symmetries, i.e., ℤ2 gauging of ℤM 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 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.