Eur. Phys. J. C (2005) 42: 191-203
https://doi.org/10.1140/epjc/s2005-02283-0

Theoretical Physics

General formulation for proton decay rate in minimal supersymmetric SO(10) GUT

¹ Department of Physics, Ritsumeikan University, 525-8577, Kusatsu, Shiga, Japan
² University of Zagreb, Department of Physics, Bijenička cesta 32, P.O. Box 331, 10002, Zagreb, Croatia
³ Institut Rudjer Bošković, Bijenička cesta 54, P.O. Box 180, 10002, Zagreb, Croatia
⁴ Theory Group, KEK, Oho 1-1, 305-0801, Tsukuba, Ibaraki, Japan

^* e-mail: fukuyama@se.ritsumei.ac.jp

Abstract

We give an explicit formula for the proton decay rate in the minimal renormalizable supersymmetric (SUSY) SO(10) model. In this model, the Higgs fields consist of the 10 and SO(10) representations in the Yukawa interactions with matter and of the 10, , 126, and 210 representations in the Higgs potential. We present all the mass matrices for the Higgs fields contained in this minimal SUSY SO(10) model. Finally, we discuss the threshold effects of these Higgs fields on the gauge coupling unification.