Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-10-06
Physics
High Energy Physics
High Energy Physics - Phenomenology
New section is added regarding the naturalness of the gradient and curvature expansion within the concept of a field-dependent
Scientific paper
We consider the renormalization group improvement in the theory of the Standard Model (SM) Higgs boson playing the role of an inflaton with a strong non-minimal coupling to gravity. It suggests the range of the Higgs mass $135.6\; {\rm GeV} \lesssim M_H\lesssim 184.5\;{\rm GeV}$ entirely determined by the lower WMAP bound on the CMB spectral index. We find the phenomenon of asymptotic freedom induced by this non-minimal curvature coupling, which brings the theory to the weak coupling domain. Asymptotic freedom fails at the boundaries of this domain, which makes the SM phenomenology sensitive to the current cosmological data and thus suggests future more precise CMB measurements as a SM test complementary to the LHC program. By using a concept of field-dependent cutoff we also show naturalness of the gradient and curvature expansion in this model within a conventional perturbation theory range of SM.
Barvinsky Andrei O.
Kamenshchik Alexander Yu.
Kiefer Claus
Starobinsky Alexei A.
Steinwachs Christian F.
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