München 2009 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 6: Felder und Strings

MP 6.4: Talk

Wednesday, March 11, 2009, 17:20–17:40, M010

'Weight' in the landscape from Quark and Lepton Masses — •Koushik Dutta — Max Planck Institute for Physics, Fohringer Ring 6, 80805, Munich, Germnay

Even if quark and lepton masses are not uniquely predicted by the fundamental theory, as may be the case in the string theory landscape, nevertheless their pattern may reveal features of the underlying theory. We use statistical techniques to show that the observed masses appear to be representative of a scale invariant distribution, rho(m) ~ 1/m. If we extend this distribution to include all the Yukawa couplings, we show that the resulting CKM matrix elements typically show a hierarchical pattern similar to observations. The Jarlskog invariant measuring the amount of CP violation is also well reproduced in magnitude. We also apply this framework to neutrinos using the seesaw mechanism. Our framework highly favors a normal hierarchy of neutrino masses and predicts several presently unmeasured observables.

In addition, using the scale invariant weight for the Yukawa couplings and imposing anthropic constraints on the existence of atoms, we estimate the likelihood function for the Higgs vev. The result favors values close to the observed vev.