Tri-linear Couplings in an Heterotic Minimal Supersymmetric Standard Model

Details Tri-linear Couplings in an Heterotic Minimal Supersymmetric Standard Model Tri-linear Couplings in an Heterotic Minimal Supersymmetric Standard Model

2006-02-10

arxiv.org/abs/hep-th/0602096v2

Nucl.Phys.B745:62-83,2006

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, no figure. v2: minor corrections, references added, version to appear in Nucl. Phys. B

Scientific paper

10.1016/j.nuclphysb.2006.03.032

We calculate, at the classical level, the superpotential tri-linear couplings of the only known globally consistent heterotic minimal supersymmetric Standard Model [ hep-th/0512149 ]. This recently constructed model is based on a compactification of the E_8 x E_8 heterotic string theory on a Calabi-Yau threefold with Z_2 fundamental group, coupled with a slope-stable holomorphic SU(5) vector bundle. In the observable sector the massless particle content is that of the three-family supersymmetric Standard Model with n=0,1,2 massless Higgs pairs, depending on the location in the vector bundle moduli space, and no exotic particles. We obtain non-zero Yukawa couplings for the three up-sector quarks, and vanishing R-parity violating terms. In particular, the proton is stable. Another interesting feature is the existence of tri-linear couplings, on the loci with massless Higgs pairs, generating \mu-mass parameters for the Higgs pairs and neutrino mass terms, with specific vector bundle moduli playing the role of right-handed neutrinos.

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