Andrei O. Barvinsky

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

Higgs boson, renormalization group, and naturalness in cosmology

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

Serendipitous discoveries in nonlocal gravity theory

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

Cosmological landscape from nothing: some like it hot

n_s

Renormalization of Hořava gravity

), 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

Effective equations of motion and initial conditions for inflation in quantum cosmology

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1-loop quantum cosmology: the normalisability of the Hartle-Hawking wavefunction and the probability of inflation

A_I

Anomaly driven cosmology: big boost scenario and AdS/CFT correspondence

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

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

Thermodynamics via creation from nothing : Limiting the cosmological constant landscape

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