Pseudo-periodic natural Higgs inflation

Year: 2019

Authors: Màriàn IG., Defenu N., Jentschura U.D., Trombettoni A., Nandori I.

Autors Affiliation: Univ Debrecen, POB 105, H-4010 Debrecen, Hungary; Heidelberg Univ, Inst Theoret Phys, D-69120 Heidelberg, Germany; Missouri Univ Sci & Technol, Dept Phys, Rolla, MO 65409 USA; MTA DE Particle Phys Res Grp, POB 51, H-4001 Debrecen, Hungary; MTA Atomki, POB 51, H-4001 Debrecen, Hungary; CNR IOM DEMOCRITOS Simulat Ctr, Via Bonomea 265, I-34136 Trieste, Italy; SISSA, Via Bonomea 265, I-34136 Trieste, Italy; Ist Nazl Fis Nucl, Sez Trieste, Via Bonomea 265, I-34136 Trieste, Italy.

Abstract: Inflationary cosmology represents a well-studied framework to describe the expansion of space in the early universe, as it explains the origin of the large-scale 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 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 propose and perform the slow-roll analysis of the so-called 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 non-degenerate minima and is amenable to an easy integration of high-energy 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 order-of-magnitude for the Higgs mass. (C) 2019 The Authors. Published by Elsevier B.V.

Journal/Review: NUCLEAR PHYSICS B

Volume: 945      Pages from: 114642-1  to: 114642-19

More Information: This work was supported by, the Janos Bolyai Research Scholarship of the Hungarian Academy of Sciences and by the UNKP-17-3 New National Excellence Program of the Ministry of Human Capacities. Useful discussions with F. Bianchini, G. Gori, J. Rubio, Z. Trocsanyi and G. Somogyi are gratefully acknowledged. Support from the National Science Foundation (Grant PHY-1710856) also is being acknowledged. Financial support by the CNR/MTA Italy-Hungary 2019-2021 Joint Project Strongly interacting systems in confined geometries is gratefully acknowledged.
KeyWords: Boson; Renormalization; Cosmology; Flatness; Equation; Universe; Horizon; Mass
DOI: 10.1016/j.nuclphysb.2019.114642

ImpactFactor: 2.817
Citations: 3
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