Scholarlink

<p>Texture-zero ansatze offer an economical description of neutrino masses, with current data allowing only seven inequivalent two-zero Majorana textures in the charged-lepton mass basis. We investigate how such textures can arise from non-invertible symmetries realized through <i>ℤ</i><sub>3</sub> gauging of <i>ℤ</i><sub><i>N</i></sub>. In contrast to <i>ℤ</i><sub>2</sub> gauging, which necessarily induces diagonal neutrino mass terms via the Weinberg operator, <i>ℤ</i><sub>3</sub> gauging admits complex representations and allows a richer class of neutrino mass textures. If the light neutrino mass is described by the Weinberg operator, we find that the textures <b>A</b><sub>1,2</sub>, <b>B</b><sub>3,4</sub>, and <b>C</b> can be realized from the <i>ℤ</i><sub>3</sub> gauging of <i>ℤ</i><sub>13</sub> symmetry, while all the seven phenomenologically viable two-zero textures can emerge from <i>ℤ</i><sub>3</sub> gauging of <i>ℤ</i><sub>19</sub> symmetry without requiring supersymmetry. When the neutrino mass is generated by the type-I seesaw mechanism, the structure of the non-invertible symmetry is more restrictive, yielding only texture <b>C</b> for <i>N</i> ≠ 7. These results demonstrate the strong predictive power of non-invertible symmetries for neutrino mass textures. Furthermore, the more general <i>ℤ</i><sub><i>n</i></sub> gauging of the <i>ℤ</i><sub><i>N</i></sub> symmetry with <i>n</i> &gt; 3 is analyzed, which results in novel fusion rules.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Two-zero textures of the Majorana neutrino mass matrix from ℤ3 gauging of ℤN non-invertible symmetry

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年7月27日

查看全文
  • Bu-Yao Qu,
  • Zheng Jiang,
  • Gui-Jun Ding

摘要

Texture-zero ansatze offer an economical description of neutrino masses, with current data allowing only seven inequivalent two-zero Majorana textures in the charged-lepton mass basis. We investigate how such textures can arise from non-invertible symmetries realized through ℤ3 gauging of ℤN. In contrast to ℤ2 gauging, which necessarily induces diagonal neutrino mass terms via the Weinberg operator, ℤ3 gauging admits complex representations and allows a richer class of neutrino mass textures. If the light neutrino mass is described by the Weinberg operator, we find that the textures A1,2, B3,4, and C can be realized from the ℤ3 gauging of ℤ13 symmetry, while all the seven phenomenologically viable two-zero textures can emerge from ℤ3 gauging of ℤ19 symmetry without requiring supersymmetry. When the neutrino mass is generated by the type-I seesaw mechanism, the structure of the non-invertible symmetry is more restrictive, yielding only texture C for N ≠ 7. These results demonstrate the strong predictive power of non-invertible symmetries for neutrino mass textures. Furthermore, the more general ℤn gauging of the ℤN symmetry with n > 3 is analyzed, which results in novel fusion rules.