Title: Grand Unification, Axion, and Inflation in Intermediate Scale Supersymmetry Show Chinese title

Title: 大统一、轴子与中间尺度超对称 inflation

Abstract: A class of supersymmetric grand unified theories is introduced that has a single scale below the cutoff, that of the supersymmetry breaking masses $\tilde{m}$. For a wide range of the dimensionless parameters, agreement with the observed mass of the Higgs boson determines $\tilde{m} \sim 10^9-10^{13} {\rm GeV}$, yielding Intermediate Scale Supersymmetry. We show that within this framework it is possible for seesaw neutrino masses, axions, and inflation to be described by the scale $\tilde{m}$, offering the possibility of a unified origin of disparate phenomena. Neutrino masses allowing for thermal leptogenesis can be obtained, and the axion decay constant lies naturally in the range $f_a \sim 10^9-10^{11} {\rm GeV}$, consistent with a recent observational suggestion of high scale inflation. A minimal $SU(5)$ model is presented that illustrates these features. In this model, the only states at the grand unified scale are those of the heavy gauge supermultiplet. The grand unified partners of the Higgs doublets have a mass of order $\tilde{m}$, leading to the dominant proton decay mode $p \rightarrow \bar{\nu} K^+$, which may be probed in upcoming experiments. Dark matter may be winos, with mass environmentally selected to the TeV scale, and/or axions. Gauge coupling unification is found to be successful, especially if the wino is at the TeV scale. Show Chinese abstract

Abstract: 引入了一类超对称大统一理论，这类理论在截止能标以下具有单一能标，即超对称破缺质量的能标$\tilde{m}$。 对于无量纲参数的广泛范围，观测到的希格斯玻色子质量与之相符可以确定$\tilde{m} \sim 10^9-10^{13} {\rm GeV}$，从而产生中间尺度超对称性。 我们展示了在这个框架内，中微子的质量、轴子以及暴胀都可以由$\tilde{m}$这一能标来描述，这为不同现象的统一起源提供了可能性。 允许热中微子生成的中微子质量可以得到，并且轴子衰变常数自然位于$f_a \sim 10^9-10^{11} {\rm GeV}$的范围内，这与高尺度暴胀的近期观测建议一致。 提出了一种最小的$SU(5)$模型来说明这些特征。 在这个模型中，在大统一能标下只有重规范超多重态的状态存在。 希格斯双线态的大统一伙伴具有$\tilde{m}$量级的质量，导致主导质子衰变模式$p \rightarrow \bar{\nu} K^+$，这一模式可能在即将到来的实验中被探测到。 暗物质可能是 wino，其质量通过环境选择到 TeV 能标，和/或轴子。 发现规范耦合统一是成功的，特别是如果 wino 在 TeV 能标处。