Relating leptogenesis to low energy flavor violating observables in models with spontaneousCPviolation

Abstract

In the minimal left-right symmetric model, there are only two intrinsic $CP$ violating phases to account for all $CP$ violation in both the quark and lepton sectors, if $CP$ is broken spontaneously by the complex phases in the VEV's of the scalar fields. In addition, the left- and right-handed Majorana mass terms for the neutrinos are proportional to each other due to the parity in the model. This is thus a very constrained framework, making the existence of correlations among the $CP$ violation in leptogenesis, neutrino oscillation and neutrinoless double beta decay possible. In these models, $CP$ violation in the leptonic sector and $CP$ violation in the quark sector are also related. We find, however, that such connection is rather weak due to the large hierarchy in the bi-doublet VEV required by a realistic quark sector.