Small Yukawa Couplings from Type I String Theory and the Inflationary Solution to the Strong CP and $\mu$ Problems

Abstract

We investigate the origin of phenomenologically interesting small Yukawa couplings in Type I string theory. Utilising the framework of intersecting sets of D9 and orthogonal D5 branes we demonstrate the connection between extra dimensional volumes and Yukawa couplings. For example, we show that extra dimensions with inverse lengths of $10^8$ GeV can lead to $10^{-10}$ Yukawa couplings. String selection rules, arising from the D-Brane setup, impose non-trivial constraints on the set of allowed superpotentials. As a phenomenological application of these results we construct a type I string model of inflationary particle physics which involves small Yukawa couplings of order $10^{-10}$, and simultaneously solves the strong CP and $\mu$ problem of the MSSM, via the vacuum expectation value of the inflaton field.

23 pages

References in corpus (5)

• The Soft Supersymmetry-Breaking Lagrangian: Theory and Applications
• Towards a No-Lose Theorem for NMSSM Higgs Discovery at the LHC
• NMSSM Higgs Discovery at the LHC
• Phenomenology of Twisted Moduli in Type I String Inspired Models
• Inflationary Solution to the Strong CP and $\mu$ Problems

Cited by in corpus (6)

• The Next-to-Minimal Supersymmetric Standard Model
• Sterile neutrinos: the dark side of the light fermions
• Particle physics models of inflation and curvaton scenarios
• Dark-matter sterile neutrinos in models with a gauge singlet in the Higgs sector
• Revisiting the SUSY mu problem and its solutions in the LHC era
• Dirac Neutrinos and Hybrid Inflation from String Theory