Inflationary Solution to the Strong CP and $μ$ Problems

Details Inflationary Solution to the Strong CP and $μ$ Problems Inflationary Solution to the Strong CP and $μ$ Problems

2004-11-12

arxiv.org/abs/hep-ph/0411170v3

Phys.Lett. B610 (2005) 87-93

Physics

High Energy Physics

High Energy Physics - Phenomenology

Version to appear in Physics Letters B. 14 pages

Scientific paper

10.1016/j.physletb.2005.01.075

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.

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