Inflationary Solution to the Strong CP and $\mu$ Problems

Abstract

We show that the vacuum expectation value of the inflaton at the Peccei-Quinn axion scale can generate the supersymmetric Higgs mass $\mu$ term. This provides an inflationary simultaneous solution to the strong CP problem and the $\mu$ problem of the Minimal Supersymmetric Standard Model, and gives a testable prediction for the $\mu$ parameter: ${\mu }^2\approx (0.25-0.5)m_0^2$, where $m_0$ is the soft Higgs scalar mass. Our model involves a very small Yukawa coupling of order $10^{-10}$, which could originate from an extra-dimensional scenario or type I string theory.

Version to appear in Physics Letters B. 14 pages

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Cited by in corpus (5)

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• Particle physics models of inflation and curvaton scenarios
• Revisiting the SUSY mu problem and its solutions in the LHC era
• Dirac Neutrinos and Hybrid Inflation from String Theory
• Small Yukawa Couplings from Type I String Theory and the Inflationary Solution to the Strong CP and $\mu$ Problems