CP Violation and F-theory GUTs

TL;DR

This paper estimates the CP violating phases in quark and lepton sectors within F-theory GUTs, finding large CP violation consistent with experimental data and predicting similar effects in leptons.

Contribution

It provides a novel estimate of CP violation phases in F-theory GUTs using the Jarlskog invariant, highlighting large CP violation in both sectors.

Findings

|J_quark| ~ 6*10^(-5) consistent with experiment

|J_lepton| ~ 4*10^(-2) predicted to be large

CP violating phases are large in both quark and lepton sectors

Abstract

Recent work on F-theory GUTs has shown that the predicted masses, and magnitudes of the mixing matrix elements in the quark and lepton sectors are in close accord with experiment. In this note we estimate the CP violating phase of the mixing matrices by considering the Jarlskog invariant. We find by carefully treating certain cancellations in the computation of the Jarlskog invariant that |J_quark| ~ alpha_GUT^(3) ~ 6*10^(-5), and that the CP violating phase of the quark sector is large, in accord with experiment. Moreover, we predict (up to order one factors) that |J_lepton| ~ alpha_GUT ~ 4*10^(-2) and that the CP violating phase of the lepton sector is also large.