Proton Decay in a 6D SO(10) model

Abstract

We present a study of proton decay in a supersymmetric $ SO(10)$ gauge theory in six dimensions compactified on an orbifold. The dimension 5 proton decay operators are absent, but the dimension 6 are enhanced due to the presence of KK towers. We resum the KK modes up to the cut-off of the theory and find the rate for the dominant mode $p \to π^0 e^{+} $. We explore also the flavour dependence, due to the different localization of states in the extra dimensions and find that it is possible to distinguish the model from the usual 4D $ SU(5)/SO(10)$ models.