CP Violation and F-theory GUTs

Details CP Violation and F-theory GUTs CP Violation and F-theory GUTs

2009-04-21

arxiv.org/abs/0904.3101v2

Phys.Lett.B694:482-484,2011

Physics

High Energy Physics

High Energy Physics - Theory

v2: 3 pages, Improved estimate of the Jarlskog invariant involving subtle cancellations, leading to a different conclusion for

Scientific paper

10.1016/j.physletb.2010.10.034

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.

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