Detailed Analysis of Proton Decay Rate in the Minimal Supersymmetric SO(10) Model

Abstract

We consider the minimal supersymmetric SO(10) model, where only one 10 and one Higgs multiplets have Yukawa couplings with matter multiplets. This model has the high predictive power for the Yukawa coupling matrices consistent with the experimental data of the charged fermion mass matrices, and all the Yukawa coupling matrices are completely determined once a few parameters in the model are fixed. This feature is essential for definite predictions to the proton decay rate through the dimension five operators. Althogh it is not completely general, we analyze the proton decay rate for the dominant decay modes p→K + by including as many free parameters as possible and varying them. There are two free parameters in the Yukawa sector, while three in the Higgsino sector. It is found that an allowed region exists when the free parameters in the Higgs sector are tuned so as to cancel the proton decay amplitude. The resultant proton lifetime is proportional to 1/tan 2β and the allowed region eventually disappears as tan β becomes large.