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We derive one- and two-loop renormalization group equations (RGEs) of Higgs-$R^2$ inflation. This model has a non-minimal coupling between the Higgs and the Ricci scalar and a Ricci scalar squared term on top of the standard model. The RGEs…

High Energy Physics - Phenomenology · Physics 2021-03-17 Yohei Ema , Kyohei Mukaida , Jorinde van de Vis

We study a Higgs inflation model with a running kinetic term, taking account of the renormalization group evolution of relevant coupling constants. Specifically we study two types of the running kinetic Higgs inflation, where the inflaton…

High Energy Physics - Phenomenology · Physics 2016-07-21 Fuminobu Takahashi , Ryo Takahashi

This paper studies the quantum corrections to the Higgs inflation model in the context of the Einstein-Cartan (E-C) gravity in the large-$ N $ limit with $N$ being the number of real scalar components in Higgs. Recently, it is realized that…

High Energy Physics - Phenomenology · Physics 2024-01-05 Minxi He , Kohei Kamada , Kyohei Mukaida

Extending previous results [JHEP 11 (2021) 091], we explore aspects of the reheating mechanism for non-minimal Higgs inflation in the strong coupling regime. We constrain the radiative corrections for the inflaton's potential by considering…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-25 Jamerson G. Rodrigues , Micol Benetti , Rayff de Souza , Jailson Alcaniz

We present a critical discussion of quantum corrections, renormalisation, and the computation of the beta functions and the effective potential in Higgs inflation. In contrast with claims in the literature, we find no evidence for a…

High Energy Physics - Theory · Physics 2014-02-27 Damien P. George , Sander Mooij , Marieke Postma

We compute the one-loop renormalization group equations for Standard Model Higgs inflation. The calculation is done in the Einstein frame, using a covariant formalism for the multi-field system. All counterterms, and thus the betafunctions,…

High Energy Physics - Theory · Physics 2016-04-20 Damien P. George , Sander Mooij , Marieke Postma

We compare Higgs inflation in the metric and Palatini formulations of general relativity, with loop corrections are treated in a simple approximation. We consider Higgs inflation on the plateau, at a critical point, at a hilltop and in a…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-30 Syksy Rasanen , Pyry Wahlman

We study inflation for a quantum scalar electrodynamics model in curved space-time and for higher-derivative quantum gravity (QG) coupled with scalar electrodynamics. The corresponding renormalization-group (RG) improved potential is…

High Energy Physics - Theory · Physics 2017-03-15 Ratbay Myrzakulov , Sergei Odintsov , Lorenzo Sebastiani

The possibility to construct an inflationary scenario for renormalization-group improved potentials corresponding to the Higgs sector of finite gauge models is investigated. Taking into account quantum corrections to the…

General Relativity and Quantum Cosmology · Physics 2016-02-10 Emilio Elizalde , Sergei D. Odintsov , Ekaterina O. Pozdeeva , Sergey Yu. Vernov

We consider a single scalar field inflation model with Higgs potential and curvature corrections given by non-minimal derivative coupling to gravity and coupling to the Gauss-Bonnet invariant. Exact analytical expressions, within the…

General Relativity and Quantum Cosmology · Physics 2019-10-25 L. N. Granda , D. F. Jimenez

We present a non-perturbative framework for the dynamics of slow-roll inflation that consistently incorporates quantum corrections, based on an alternative functional renormalisation group (RG) approach. We derive the coupled Friedmann-RG…

High Energy Physics - Theory · Physics 2025-11-10 Jean Alexandre , Lucien Heurtier , Silvia Pla

We study inflation with the non-minimally coupled Standard Model Higgs in the case when quantum corrections generate a hilltop in the potential. We consider both the metric and the Palatini formulation of general relativity. We investigate…

Cosmology and Nongalactic Astrophysics · Physics 2018-06-05 Vera-Maria Enckell , Kari Enqvist , Syksy Rasanen , Eemeli Tomberg

We study quantum effects in Higgs inflation in the Palatini formulation of gravity, in which the metric and connection are treated as independent variables. We exploit the fact that the cutoff, above which perturbation theory breaks down,…

High Energy Physics - Phenomenology · Physics 2020-08-25 Mikhail Shaposhnikov , Andrey Shkerin , Sebastian Zell

We present the Coleman-Weinberg potential for the inflaton in the pole inflation scenarios such as the Higgs pole inflation and the Peccei-Quinn (PQ) pole inflation. The loop corrections stem from the Standard Model particles and extra…

High Energy Physics - Phenomenology · Physics 2026-04-08 Jeonghak Han , Hyun Min Lee , Jun-Ho Song

We propose a novel possibility for Higgs inflation where the perturbative unitarity below the Planck scale is ensured by construction and the successful predictions for inflation are accommodated. The conformal gravity coupling for the…

High Energy Physics - Phenomenology · Physics 2023-10-17 Simon Cléry , Hyun Min Lee , Adriana G. Menkara

We study Higgs inflation in the Palatini formulation with the renormalisation group improved potential in the case when loop corrections generate a feature similar to an inflection point. Assuming that there is a threshold correction for…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-13 Vera-Maria Enckell , Sami Nurmi , Syksy Rasanen , Eemeli Tomberg

We analyse the self-consistency of inflation in the Standard Model, where the Higgs field has a large non-minimal coupling to gravity. We determine the domain of energies in which this model represents a valid effective field theory as a…

High Energy Physics - Phenomenology · Physics 2011-03-07 F. Bezrukov , A. Magnin , M. Shaposhnikov , S. Sibiryakov

We consider the renormalization group(RG) improved inflaton potential in unitarized Higgs inflation where the original Higgs inflation is unitarized by the addition of a real singlet scalar of sigma-model type. The sigma field coupling to…

High Energy Physics - Phenomenology · Physics 2015-06-12 Hyun Min Lee

We demonstrate the importance of correctly implementing RG-running and choosing the RG-scale when calculating quantum corrections to inflaton dynamics. We show that such corrections are negligible for single-field inflation, in the sense of…

High Energy Physics - Phenomenology · Physics 2017-02-08 Matti Herranen , Andreas Hohenegger , Asgeir Osland , Anders Tranberg

We investigated inflation in the Higgs-$R^2$ model and assumed the trajectory to follow a single-field approximation called minimal two-field mode. Using this approximation, we tried to constrain the Higgs' non-minimal coupling $\xi$.…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-09 Norma Sidik Risdianto
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