Running non-minimal inflation with stabilized inflaton potential
Abstract In the context of the Higgs model involving gauge and Yukawa interactions with the spontaneous gauge symmetry breaking, we consider $$\lambda \phi ^4$$ λ ϕ 4 inflation with non-minimal gravitational coupling, where the Higgs field is identified as the inflaton. Since the inflaton quartic co...
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doaj-28883d7cc870465fad4ae9c02aa9a23d2020-11-24T20:43:31ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-04-0177411310.1140/epjc/s10052-017-4799-4Running non-minimal inflation with stabilized inflaton potentialNobuchika Okada0Digesh Raut1Department of Physics and Astronomy, University of AlabamaDepartment of Physics and Astronomy, University of AlabamaAbstract In the context of the Higgs model involving gauge and Yukawa interactions with the spontaneous gauge symmetry breaking, we consider $$\lambda \phi ^4$$ λ ϕ 4 inflation with non-minimal gravitational coupling, where the Higgs field is identified as the inflaton. Since the inflaton quartic coupling is very small, once quantum corrections through the gauge and Yukawa interactions are taken into account, the inflaton effective potential most likely becomes unstable. In order to avoid this problem, we need to impose stability conditions on the effective inflaton potential, which lead to not only non-trivial relations amongst the particle mass spectrum of the model, but also correlations between the inflationary predictions and the mass spectrum. For concrete discussion, we investigate the minimal $$B-L$$ B - L extension of the standard model with identification of the $$B-L$$ B - L Higgs field as the inflaton. The stability conditions for the inflaton effective potential fix the mass ratio amongst the $$B-L$$ B - L gauge boson, the right-handed neutrinos and the inflaton. This mass ratio also correlates with the inflationary predictions. In other words, if the $$B-L$$ B - L gauge boson and the right-handed neutrinos are discovered in the future, their observed mass ratio provides constraints on the inflationary predictions.http://link.springer.com/article/10.1140/epjc/s10052-017-4799-4Yukawa CouplingVacuum Expectation ValueRenormalization Group EquationQuartic CouplingHiggs Field |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Nobuchika Okada Digesh Raut |
spellingShingle |
Nobuchika Okada Digesh Raut Running non-minimal inflation with stabilized inflaton potential European Physical Journal C: Particles and Fields Yukawa Coupling Vacuum Expectation Value Renormalization Group Equation Quartic Coupling Higgs Field |
author_facet |
Nobuchika Okada Digesh Raut |
author_sort |
Nobuchika Okada |
title |
Running non-minimal inflation with stabilized inflaton potential |
title_short |
Running non-minimal inflation with stabilized inflaton potential |
title_full |
Running non-minimal inflation with stabilized inflaton potential |
title_fullStr |
Running non-minimal inflation with stabilized inflaton potential |
title_full_unstemmed |
Running non-minimal inflation with stabilized inflaton potential |
title_sort |
running non-minimal inflation with stabilized inflaton potential |
publisher |
SpringerOpen |
series |
European Physical Journal C: Particles and Fields |
issn |
1434-6044 1434-6052 |
publishDate |
2017-04-01 |
description |
Abstract In the context of the Higgs model involving gauge and Yukawa interactions with the spontaneous gauge symmetry breaking, we consider $$\lambda \phi ^4$$ λ ϕ 4 inflation with non-minimal gravitational coupling, where the Higgs field is identified as the inflaton. Since the inflaton quartic coupling is very small, once quantum corrections through the gauge and Yukawa interactions are taken into account, the inflaton effective potential most likely becomes unstable. In order to avoid this problem, we need to impose stability conditions on the effective inflaton potential, which lead to not only non-trivial relations amongst the particle mass spectrum of the model, but also correlations between the inflationary predictions and the mass spectrum. For concrete discussion, we investigate the minimal $$B-L$$ B - L extension of the standard model with identification of the $$B-L$$ B - L Higgs field as the inflaton. The stability conditions for the inflaton effective potential fix the mass ratio amongst the $$B-L$$ B - L gauge boson, the right-handed neutrinos and the inflaton. This mass ratio also correlates with the inflationary predictions. In other words, if the $$B-L$$ B - L gauge boson and the right-handed neutrinos are discovered in the future, their observed mass ratio provides constraints on the inflationary predictions. |
topic |
Yukawa Coupling Vacuum Expectation Value Renormalization Group Equation Quartic Coupling Higgs Field |
url |
http://link.springer.com/article/10.1140/epjc/s10052-017-4799-4 |
work_keys_str_mv |
AT nobuchikaokada runningnonminimalinflationwithstabilizedinflatonpotential AT digeshraut runningnonminimalinflationwithstabilizedinflatonpotential |
_version_ |
1716819618231746560 |