Abstract
A non-minimal coupling ξ of the Standard Model Higgs field to gravity can give rise to inflation, but large ξ is required and thus leads to a violation of perturbative unitarity at M Pl/ξ, which is well below the inflationary scale \( {{{{M_{\mathrm{Pl}}}}} \left/ {{\sqrt{\xi }}} \right.} \). We re-examine this claim for a Higgs mass in the range 125-126 GeV for which λeff(μ) runs to very small values near the Planck scale and can significantly reduce the value of ξ required for inflation. Using the two-loop renormalization group equations and effective potential for Higgs ξ-inflation, we find that familiar inflationary solutions can have a non-minimal coupling as small as ξ ~ 400 without the potential developing a second minimum. We also find a new observationally allowed region of Higgs ξ-inflation with ξ ~ 90 and distinct inflationary predictions, including an observable level of the tensor-to-scalar ratio r.
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Allison, K. Higgs ξ-inflation for the 125-126 GeV Higgs: a two-loop analysis. J. High Energ. Phys. 2014, 40 (2014). https://doi.org/10.1007/JHEP02(2014)040
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DOI: https://doi.org/10.1007/JHEP02(2014)040