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arXiv 1503.08561hep-ph
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超对称SU(5)大统一理论中重子数破坏算符的阈值修正

Threshold Corrections to Baryon Number Violating Operators in Supersymmetric SU(5) GUTs

Junji Hisano, Takumi Kuwahara, Yuji Omura

摘要:

核子衰变是验证大统一理论的重要现象。为了精确地预测与统一规范群相关的规范玻色子诱导的核子寿命,考虑重整化效应对6维重子数破坏算符Wilson系数的影响是很重要的.在本研究中,我们在最小超对称SU(5)大统一理论和具有附加SU(5)类矢量对的扩展大统一理论中,推导了单圈水平上对这些系数的阈值修正。结果表明,在最小设置下,核子衰变率增加了约5%,而在类矢量物质扩展下,这种增加会变得更小。

英文摘要:

The nucleon decay is a significant phenomenon to verify grand unified theories (GUTs). For the precise prediction of the nucleon lifetime induced by the gauge bosons associated with the unified gauge group, it is important to include the renormalization effects on the Wilson coefficients of the dimension-six baryon number violating operators. In this study, we have derived the threshold corrections to these coefficients at the one-loop level in the minimal supersymmetric SU(5) GUT and the extended one with additional SU(5) vector-like pairs. As a result, it is found that the nucleon decay rate is enhanced about 5% in the minimal setup, and then the enhancement could become smaller in the vector-like matter extensions.

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