论文标题

增强$γ(p \ to k^0μ^+)/γ(p \ to k^+\barν_μ)$作为最小可命态的susy $ so(10)$ ut的签名

Enhanced $Γ(p\to K^0μ^+)/Γ(p\to K^+\barν_μ)$ as a Signature of Minimal Renormalizable SUSY $SO(10)$ GUT

论文作者

Haba, Naoyuki, Mimura, Yukihiro, Yamada, Toshifumi

论文摘要

在不详细了解susy粒子质量的情况下,可以预测某些尺寸-5质子衰减模式的部分宽度的比率,从而使我们能够在没有发现SUSY颗粒的情况下实验测试各种SUSY GUT模型。在本文中,我们研究了$ p \与k^0μ^+$和$ p \ $ p \与k^+\barν_μ$衰减的部分宽度的比例,这是一个仅在第1和第二代左手的左手左手的左撇子下,是一个合理的假设。在模型中,我们期望负责这些模式的尺寸5运算符的Wilson系数与$ P \ k^0μ^+$和$ p \与k^+\barν_μ$ partial partths的比率为$ O(0.1)$。因此,我们可能能够检测到$ p \ to k^0μ^+$和$ p \ to k^+\barν_μ$ $ $在Hyper-kamiokande衰减,从而获得了最小的可重量化SUSY $ SUSY $ SO SO(10)$ gut的提示。此外,由于该部分宽度比在最小的$ su(5)$ ut中被完全抑制,因此它使我们能够区分最小的可符号的SUSY $ SO SO(10)$ ut与最小的$ su(5)$ ut。在论文的主体中,我们对夸克和轻子群体以及风味混合物进行了拟合,并与最小的可重新分配$ SO(10)$ ut的Yukawa耦合进行了拟合,并根据拟合结果得出了部分宽度比的具体预测。我们发现部分宽度比通常在0.05-0.6范围内变化,从而确认了上述期望。

The ratio of the partial widths of some dimension-5 proton decay modes can be predicted without detailed knowledge of SUSY particle masses, and thus allows us to experimentally test various SUSY GUT models without discovering SUSY particles. In this paper, we study the ratio of the partial widths of the $p\to K^0μ^+$ and $p\to K^+\barν_μ$ decays in the minimal renormalizable SUSY $SO(10)$ GUT, under only a plausible assumption that the 1st and 2nd generation left-handed squarks are mass-degenerate. In the model, we expect that the Wilson coefficients of dimension-5 operators responsible for these modes are on the same order and that the ratio of $p\to K^0μ^+$ and $p\to K^+\barν_μ$ partial widths is $O(0.1)$. Hence, we may be able to detect both $p\to K^0μ^+$ and $p\to K^+\barν_μ$ decays at Hyper-Kamiokande, thereby gaining a hint for the minimal renormalizable SUSY $SO(10)$ GUT. Moreover, since this partial width ratio is quite suppressed in the minimal $SU(5)$ GUT, it allows us to distinguish the minimal renormalizable SUSY $SO(10)$ GUT from the minimal $SU(5)$ GUT. In the main body of the paper, we perform a fitting of the quark and lepton masses and flavor mixings with the Yukawa couplings of the minimal renormalizable $SO(10)$ GUT, and derive a concrete prediction for the partial width ratio based on the fitting results. We find that the partial width ratio generally varies in the range 0.05-0.6, confirming the above expectation.

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