Abstract
We present an inflationary model in which the Standard Model Higgs doublet field with non-minimal coupling to gravity drives inflation, and the effective Higgs potential is stabilized by new physics which includes a dark matter particle and right-handed neutrinos for the seesaw mechanism. All of the new particles are fermions, so that the Higgs doublet is the unique inflaton candidate. With central values for the masses of the top quark and the Higgs boson, the renormalization group improved Higgs potential is employed to yield the scalar spectral index ns≃0.968, the tensor-to-scalar ratio r≃0.003, and the running of the spectral index α=dns/dlnk≃−5.2×10−4 for the number of e-folds N0=60 (ns≃0.962, r≃0.004, and α≃−7.5×10−4 for N0=50). The fairly low value of r≃0.003 predicted in this class of models means that the ongoing space and land based experiments are not expected to observe gravity waves generated during inflation.
Highlights
With the recent discovery of the Standard Model (SM) Higgs boson at the Large Hadron Collider (LHC), it seems appropriate to reconsider whether the Higgs boson can successfully play the role of inflaton in the early universe (Higgs inflation) [1,2,3]
This can only be avoided by assuming values for the top quark pole mass that lie more than 4 sigmas below the current world average of 173.34 GeV [5]
An option not favored by experiments, for avoiding a negative quartic coupling is to assume values for the Higgs boson mass that are somewhat larger than the current average mh 125 GeV
Summary
With the recent discovery of the Standard Model (SM) Higgs boson at the Large Hadron Collider (LHC), it seems appropriate to reconsider whether the Higgs boson can successfully play the role of inflaton in the early universe (Higgs inflation) [1,2,3]. Despite the presence of non-minimal coupling to gravity, which is a crucial ingredient, an important challenge in successfully implementing SM Higgs inflaton has to do with the fact that the quartic Higgs coupling (λ) becomes negative at an energy scale of order 1010 GeV [4] Without new physics, this can only be avoided by assuming values for the top quark pole mass that lie more than 4 sigmas below the current world average of 173.34 GeV [5]. We consider Higgs inflation in the context of new physics which solves the instability problem of the effective Higgs potential and supplements the SM with a dark matter candidate and the seesaw mechanism for neutrino masses.
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