PseudoPeriodic Natural Higgs Inflation
Abstract
Inflationary cosmology represents a wellstudied framework to describe the expansion of space in the early universe, as it explains the origin of the largescale structure of the cosmos and the isotropy of the cosmic microwave background radiation. The recent detection of the Higgs boson renewed research activities based on the assumption that the inflaton could be identified with the Higgs field. At the same time, the question whether the inflationary potential can be be extended to the electroweak scale and whether it should be necessarily chosen ad hoc in order to be physically acceptable are at the center of an intense debate. Here, we perform the slowroll analysis of the socalled Massive Natural Inflation (MNI) model which has three adjustable parameters, the explicit mass term, a Fourier amplitude u, and a frequency parameter $\beta$, in addition to a constant term of the potential. This theory has the advantage to present a structure of infinite nondegenerate minima and is amenable to an easy integration of highenergy modes. We show that, using PLANCK data, one can fix, in the large $\beta$region, the parameters of the model in a unique way. We also demonstrate that the value for the parameters chosen at the cosmological scale does not influence the results at the electroweak scale. We argue that other models can have similar properties both at cosmological and electroweak scales, but with the MNI model one can complete the theory towards low energies and easily perform the integration of modes up to the electroweak scale, producing the correct orderofmagnitude for the Higgs mass.
 Publication:

arXiv eprints
 Pub Date:
 May 2017
 DOI:
 10.48550/arXiv.1705.10276
 arXiv:
 arXiv:1705.10276
 Bibcode:
 2017arXiv170510276M
 Keywords:

 Astrophysics  Cosmology and Nongalactic Astrophysics;
 High Energy Physics  Theory
 EPrint:
 12 pages, 6 figures, published in Nuclear Physics B