Threshold corrections to baryon number violating operators in supersymmetric SU(5) GUTs
Junji Hisano (Department of Physics, Nagoya University, Nagoya, 464-8602, Japan, Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU), University of Tokyo, Kashiwa, 277-8568, Japan); Takumi Kuwahara (Department of Physics, Nagoya University, Nagoya, 464-8602, Japan); Yuji Omura (Department of Physics, Nagoya University, Nagoya, 464-8602, Japan)
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 suppressed about 5% in the minimal setup, and then the suppression could be O(10)% in the vector-like matter extensions.
