Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-07-24
Phys.Rev.Lett.100:141801,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
5 pages, 1 figure; v2: clarifications added; v3: slightly extended from version to appear in PRL
Scientific paper
10.1103/PhysRevLett.100.141801
The flavor structure of the Standard Model might arise from random selection on a landscape. We propose a class of simple models, ``Gaussian landscapes,'' where Yukawa couplings derive from overlap integrals of Gaussian wavefunctions on extra-dimensions. Statistics of vacua are generated by scanning the peak positions of these zero-modes, giving probability distributions for all flavor observables. Gaussian landscapes can broadly account for all observed flavor patterns with very few free parameters. For example, the generation structure in the quark sector follows from the overlap integrals for both the up and down type Yukawas sharing the localized wavefunctions of the quark doublets and the Higgs boson. Although Gaussian landscapes predict broad probability distributions, the flavor observables are correlated and we show that accounting for measured flavor parameters creates sharper distributions for future neutrino measurements.
Hall Lawrence J.
Salem Michael P.
Watari Taizan
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