More on fake GUT

Abstract

It is remarkable that the matter fields in the Standard Model (SM) are apparently unified into the SU(5) representations. A straightforward explanation of this fact is to embed all the SM gauge groups into a simple group containing SU(5), i.e., the grand unified theory (GUT). Recently, however, a new framework “fake GUT” has been proposed. In this new framework, the apparent matter unification can be explained by a chiral gauge group G, G ⊃ SU(5). We emphasize that the SM matter fields are not necessarily embed- ded into the chiral representations to explain the apparent unification. In this paper, we discuss details of concrete realizations of the fake GUT model. We first study the model based on SU(5) × U(2)H, where SU(3)c in the SM is from SU(5) while SU(2)L× U(1)Y are from the diagonal subgroups of SU(5) × U(2)H. We also extend this model to the one based on a semi-simple group, SU(5) × SU(3)H, so that U(2)H is embedded in SU(3)H. We also show that this framework predicts rather different decay patterns of the proton, compared to the conventional GUT.