Two-loop Renormalization Factors of Dimension-six Proton Decay Operators in the Supersymmetric Standard Models

Understand

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 Kahler 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 Kahler potential, assuming that they are induced by the gauge interactions.