Tri-linear Couplings in an Heterotic Minimal Supersymmetric Standard Model

Abstract

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 μ-mass parameters for the Higgs pairs and neutrino mass terms, with specific vector bundle moduli playing the role of right-handed neutrinos.

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

Cited by in corpus (15)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• The Heterotic Road to the MSSM with R parity
• Heterotic GUT and Standard Model Vacua from simply connected Calabi-Yau Manifolds
• Supersymmetric Standard Model from the Heterotic String (II)
• Explaining the Electroweak Scale and Stabilizing Moduli in M Theory
• From strings to the MSSM
• Lectures on complex geometry, Calabi-Yau manifolds and toric geometry
• Stabilizing Moduli with a Positive Cosmological Constant in Heterotic M-Theory
• On a class of non-simply connected Calabi-Yau threefolds
• Deformations of Bundles and the Standard Model
• Flux, Gaugino Condensation and Anti-Branes in Heterotic M-theory
• The Spectral Construction for a (1,8)-Polarized Family of Abelian Varieties
• Heterotic Models without Fivebranes
• String Inspired Singlet Extensions of the Minimal Supersymmetric Standard Model
• Effects of Supersymmetric Threshold Corrections on High-Scale Flavor Textures