The renormalization factors of the dimension-six effective operators for proton decay are evaluated at two-loop level in the supersymmetric grand unified theories. For this purpose, we use the previous results in which the quantum corrections to the effective Kähler potential are evaluated at two-loop level. Numerical values for the factors are presented in the case of the minimal supersymmetric SU(5) grand unified model. We also derive a simple formula for the one-loop renormalization factors for any higher-dimensional operators in the Kähler potential, assuming that they are induced by the gauge interactions.
|Original language||English (US)|
|Number of pages||5|
|Journal||Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics|
|State||Published - Jul 23 2013|
Bibliographical noteFunding Information:
The work of N.N. is supported by Research Fellowships of the Japan Society for the Promotion of Science for Young Scientists . The work of J.H. is supported by Grant-in-Aid for Scientific research from the Ministry of Education, Science, Sports, and Culture (MEXT), Japan , No. 20244037 , No. 20540252 , No. 22244021 and No. 23104011 , and also by World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan .