Neutrino masses and mixings as an evidence of GUT, and the impact to (flavor changing) nucleon decay

Abstract

First, we see that the observed data of quark and lepton masses and mixings, which has been completed by adding neutrino data, can be a qualitative signature of S U(5) grand unified theory (GUT). Actually, an assumption, 10 fields induce stronger hierarchy in Yukawa couplings than 5¯ fields, can explain all hierarchical structures of quark and lepton masses and mixings. Second, we see the attractiveness of E6 GUT, in which the above assumption in S U(5) GUT can be derived and as the result various Yukawa hierarchies of quarks and leptons can be obtained from only one basic hierarchy. Third, we compare the predictions for nucleon decay among several GUTs with S U(5), S O(10), and E6 unification group which satisfy the above important assumption for Yukawa hierarchy, since this understanding about Yukawa structures reduces the ambiguities in prediction of nucleon decay via superheavy gauge boson exchange. We stress the importance of observations for several decay modes. One of them is flavor changing nucleon decay, for example, P → π0 µ+, which is the decay mode that SuperKamiokande has reported two events in the signal region. This article is based on our works in Ref.[1, 2]