Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-04-10
JCAP 0912:003,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
CMB bounds on the Higgs mass are quantitatively and qualitatively changed due to the effect of Goldstone modes, omitted in the
Scientific paper
10.1088/1475-7516/2009/12/003
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 $135.6 {\rm GeV} \lesssim M_H\lesssim 184.5 {\rm GeV}$ compatible with the current CMB data (the lower WMAP bound on $n_s$), 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 ${\boldmath $A_I$}$ -- the anomalous scaling in the non-minimally coupled Standard Model, which analytically determines all characteristics of the CMB spectrum -- brings ${\boldmath $A_I$}$ to small negative values at the inflation scale. This property is crucial for the above results and may also underlie the formation of initial conditions for the inflationary dynamics in quantum cosmology.
Barvinsky Andrei O.
Kamenshchik Alexander Yu.
Kiefer Claus
Starobinsky Alexei A.
Steinwachs C.
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