Yukawa Couplings in Heterotic Standard Models

Details Yukawa Couplings in Heterotic Standard Models Yukawa Couplings in Heterotic Standard Models

2006-01-27

arxiv.org/abs/hep-th/0601204v1

JHEP 0604:019,2006

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, LaTeX

Scientific paper

10.1088/1126-6708/2006/04/019

In this paper, we present a formalism for computing the Yukawa couplings in heterotic standard models. This is accomplished by calculating the relevant triple products of cohomology groups, leading to terms proportional to Q*H*u, Q*Hbar*d, L*H*nu and L*Hbar*e in the low energy superpotential. These interactions are subject to two very restrictive selection rules arising from the geometry of the Calabi-Yau manifold. We apply our formalism to the "minimal" heterotic standard model whose observable sector matter spectrum is exactly that of the MSSM. The non-vanishing Yukawa interactions are explicitly computed in this context. These interactions exhibit a texture rendering one out of the three quark/lepton families naturally light.

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