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arXiv · hep-th/0601204

Yukawa Couplings in Heterotic Standard Models

Volker Braun·Yang-Hui He·Burt A. Ovrut
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Abstract

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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Volker Braun, Yang-Hui He, Burt A. Ovrut. 2006-01-27. Yukawa Couplings in Heterotic Standard Models. https://doi.org/10.1088/1126-6708%2F2006%2F04%2F019

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