Christian F. Steinwachs

Asymptotic freedom in inflationary cosmology with a non-minimally coupled Higgs field

We consider the renormalization group improvement in the theory of the Standard Model Higgs boson playing the role of an inflaton with a strong non-minimal coupling to gravity. It suggests the range of the Higgs mass

Question of quantum equivalence between Jordan frame and Einstein frame

135.6 {\rm GeV} \lesssim M_H\lesssim 184.5 {\rm GeV}

One-loop divergences for gravity nonminimally coupled to a multiplet of scalar fields: Calculation in the Jordan frame. I. The main results

compatible with the current CMB data (the lower WMAP bound on

Tunneling cosmological state revisited: Origin of inflation with a nonminimally coupled standard model Higgs inflaton

n_s

Quantum equivalence of

), which is close to the widely accepted range dictated by the electroweak vacuum stability and perturbation theory bounds. We find the phenomenon of asymptotic freedom induced by this non-minimal curvature coupling, which brings the theory to the weak coupling domain everywhere except at the lower and upper boundary of this range. The renormalization group running of the basic quantity

f(R)

{\boldmath

gravity and scalar-tensor theories

A_I

One-loop divergences for

}

f(R)

-- the anomalous scaling in the non-minimally coupled Standard Model, which analytically determines all characteristics of the CMB spectrum -- brings

gravity

{\boldmath