We study a renormalizable SUSY $SO(10)$ GUT model where the Yukawa couplings of single ${\bf 10}$, single ${\bf \overline{126}}$ and single ${\bf 120}$ fields, $Y_{10},Y_{126},Y_{120}$, account for the quark and lepton Yukawa couplings and the neutrino mass. We pursue the possibility that $Y_{10},Y_{126},Y_{120}$ reproduce the correct quark and lepton masses, CKM and PMNS matrices and neutrino mass differences, and at the same time suppress dimension-5 proton decays (proton decays via colored Higgsino exchange) through their texture, so that the soft SUSY breaking scale can be reduced as much as possible without conflicting the current experimental bound on proton decays. We perform a numerical search for such a texture, and investigate implications of that texture on unknown neutrino parameters, the Dirac CP phase of PMNS matrix, the lightest neutrino mass and the $(1,1)$-component of the neutrino mass matrix in the charged lepton basis. Here we concentrate on the case when the active neutrino mass is generated mostly by the Type-2 seesaw mechanism, in which case the correlation between the suppression of dimension-5 proton decays and the neutrino parameters is expected to be most direct.

中文翻译：

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具有抑制 5 维质子衰变的可重整化 SO(10) GUT

我们研究了一个可重整化的 SUSY $SO(10)$ GUT 模型，其中单个 ${\bf 10}$、单个 ${\bf \overline{126}}$ 和单个 ${\bf 120}$ 场的 Yukawa 耦合， $Y_{10},Y_{126},Y_{120}$，解释了夸克和轻子汤川耦合以及中微子质量。我们追求 $Y_{10},Y_{126},Y_{120}$ 再现正确的夸克和轻子质量、CKM 和 PMNS 矩阵以及中微子质量差异的可能性，同时抑制 5 维质子衰变（质子通过有色 Higgsino 交换衰变）通过它们的纹理，因此可以尽可能减少软 SUSY 破坏尺度，而不会与当前关于质子衰变的实验界限相冲突。我们对这种纹理进行数值搜索，并研究该纹理对未知中微子参数、PMNS 矩阵的 Dirac CP 相位的影响，带电轻子基中中微子质量矩阵的最轻中微子质量和 $(1,1)$ 分量。在这里，我们专注于活动中微子质量主要由 2 型跷跷板机制产生的情况，在这种情况下，5 维质子衰变的抑制与中微子参数之间的相关性预计是最直接的。