Abstract
Stimulated with the recent discovery of B-mode by BICEP2, we discuss the relation between a Higgs inflation and a chaotic inflation with quadratic potential. Starting with a generalized Higgs inflation model, we derive a condition for obtaining the quadratic chaotic inflation. It is shown that the running of the Higgs self-coupling constant in the Jordan frame plays a decisive role when the generalized Higgs inflation model coincides with the Higgs inflation model in a small-field limit.
Highlights
The BICEP2 experiment has recently announced a remarkable discovery of the primodial Bmode polarization in the cosmic microwave background (CMB) [1], thereby giving us a strong support for the inflation scenario [2]
We have clarified the relation between the Higgs inflation and the quadratic chaotic inflation when the running of the Higgs self-coupling constant is switched on
Via the construction of the generalized Higgs inflation model, we have shown that the Higgs inflation in the Jordan frame can be described by quadratic chaotic inflation in the Einstein frame in treating with both the running coupling constant and the kinetic term in a proper manner
Summary
The BICEP2 experiment has recently announced a remarkable discovery of the primodial Bmode polarization in the cosmic microwave background (CMB) [1], thereby giving us a strong support for the inflation scenario [2]. As the most economical approach, it is tempting to identify the inflaton field φ with the Higgs field in the standard model (SM), which has been found at the LHC recently [4, 5] Such an inflation model is nowadays called the Higgs inflation which has been actively investigated so far [6]. Once the non-minimal coupling constant is experimentally fixed by the amplitude of the scalar perturbations, the theory has a strong predictive power. This model predicts the spectral index ns ≈ 0.97 and the tensor-to-scalar ratio r ≈ 0.003.
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