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A non-minimal coupling xi of the Standard Model Higgs field to gravity cangive rise to inflation, but large xi is required and thus leads to a violationof perturbative unitarity at Mp/xi, which is well below the inflationary scaleMp/sqrt(xi). We re-examine this claim for a Higgs mass in the range 125-126 GeVfor which lambda_eff(mu) runs to very small values near the Planck scale andcan significantly reduce the value of xi required for inflation. Using thetwo-loop renormalization group equations and effective potential for Higgsxi-inflation, we find that familiar inflationary solutions can have anon-minimal coupling as small as xi ~ 400 without the potential developing asecond minimum. We also find a new observationally allowed region of Higgsxi-inflation with xi ~ 90 and distinct inflationary predictions, including anobservable level of the tensor-to-scalar ratio r.

Higgs xi-inflation for the 125-126 GeV Higgs: a two-loop analysis