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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

In this paper by deriving the Modified Friedmann equation in the Palatini formulation of $R^2$ gravity, first we discuss the problem of whether in Palatini formulation an additional $R^2$ term in Einstein's General Relativity action can…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Xin He Meng , Peng Wang

We investigate inflationary dynamics in the framework of the Einstein-Gauss-Bonnet gravity. In the model under consideration, the inflaton field is non-minimally coupled to the Gauss-Bonnet curvature invariant, so that the latter appears to…

General Relativity and Quantum Cosmology · Physics 2020-09-02 Ekaterina O. Pozdeeva , Mayukh Raj Gangopadhyay , Mohammad Sami , Alexey V. Toporensky , Sergey Yu. Vernov

Towards a classification of UV completable Higgs inflation in the framework of parity-even metric-affine gravity, we investigate the particle spectrum of a deformed theory in the large-$N$ limit. In a simple Higgs inflation model in…

High Energy Physics - Theory · Physics 2024-11-11 Yusuke Mikura , Yuichiro Tada

The action of loop quantum gravity includes the Holst term and/or the Nieh-Yan term in addition to the Ricci scalar. These terms are expected to couple non-minimally to the Higgs. Thus the Holst and Nieh-Yan terms contribute to the…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-28 Miklos Långvik , Juha-Matti Ojanperä , Sami Raatikainen , Syksy Rasanen

We consider, in Palatini formalism, a modified gravity of which the scalar field derivative couples to Einstein tensor. In this scenario, Ricci scalar, Ricci tensor and Einstein tensor are functions of connection field. As a result, the…

General Relativity and Quantum Cosmology · Physics 2018-03-20 Narakorn Kaewkhao , Burin Gumjudpai

The discovery of Higgs mechanism within the context of spontaneous symmetry breaking has offered a new perspective on the early time cosmic inflation and also on the relationship between elementary particles and dark energy, believed to…

High Energy Physics - Theory · Physics 2024-06-14 Manda Malekpour , Kourosh Nozari

In this short note we analyze the inflationary dynamics in Weyl-invariant Einstein-Cartan gravity coupled to the Standard Model of particle physics. We take the axion-like particle of gravitational origin to be approximately massless in the…

High Energy Physics - Phenomenology · Physics 2025-11-10 Georgios K. Karananas , Mikhail Shaposhnikov

Higgs inflation scenario is one of the most compelling models of inflation at present time. It not only explains the observed data well, but also provides means to include the inflaton field within the well understood Standard Model of…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-11 Suratna Das

The Higgs field is an attractive candidate for the inflaton because it is an observationally confirmed fundamental scalar field. Importantly, it can be modeled by the most general renormalizable scalar potential. However, if the classical…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-29 Martin Bojowald , Suddhasattwa Brahma , Sean Crowe , Ding Ding , Joseph McCracken

We study inflation induced by (power-low) scalar curvature corrections to General Relativity. The class of inflationary scalar potentials $V(\sigma)\sim\exp[n\,\sigma]$, $n$ general parameter, is investigated in the Einsein frame and the…

General Relativity and Quantum Cosmology · Physics 2014-09-22 L. Sebastiani , G. Cognola , R. Myrzakulov , S. D. Odintsov , S. Zerbini

We study $R^2$-Higgs inflation in a model with two Higgs doublets in which the Higgs sector of the Standard Model is extended by an additional Higgs doublet, thereby four scalar fields are involved in the inflationary evolutions. We first…

High Energy Physics - Phenomenology · Physics 2022-01-11 Sung Mook Lee , Tanmoy Modak , Kin-ya Oda , Tomo Takahashi

In a recently proposed scenario for primordial inflation, where the Standard Model (SM) Higgs boson plays a role of the inflation field, an effective field theory (EFT) approach is the most convenient for working out the consequences of…

High Energy Physics - Phenomenology · Physics 2015-05-20 R. Horvat

We discuss the inflationary dynamics of a system with a non-minimal coupling between the Higgs and the Ricci scalar as well as a Ricci scalar squared term. There are two scalar modes in this system, i.e. the Higgs and the spin-zero mode of…

High Energy Physics - Phenomenology · Physics 2017-05-03 Yohei Ema

We analyze a two-field inflationary model consisting of the Ricci scalar squared ($R^2$) term and the standard Higgs field non-minimally coupled to gravity in addition to the Einstein $R$ term. Detailed analysis of the power spectrum of…

Cosmology and Nongalactic Astrophysics · Physics 2018-06-13 Minxi He , Alexei A. Starobinsky , Jun'ichi Yokoyama

Inflation based on scalar fields which are non-minimally coupled to gravity has been proposed as a way to unify inflation with weak-scale physics, with the inflaton being identified with the Higgs boson or other weak-scale scalar article.…

High Energy Physics - Phenomenology · Physics 2010-04-30 Rose N. Lerner , John McDonald

Within the framework of Einstein-Cartan gravity we consider an action, containing up to quadratic terms of the Ricci scalar and the Holst invariant, coupled non-minimally to a scalar field, including couplings of its derivatives to…

General Relativity and Quantum Cosmology · Physics 2025-06-19 Theodoros Katsoulas , Kyriakos Tamvakis

We rebut the recent claim (arXiv:0912.5463) that Einstein-frame scattering in the Higgs inflation model is unitary above the cut-off energy Lambda ~ Mp/xi. We show explicitly how unitarity problems arise in both the Einstein and Jordan…

High Energy Physics - Phenomenology · Physics 2014-11-20 C. P. Burgess , Hyun Min Lee , Michael Trott

The large value of non-minimal coupling constant $\xi$ required to satisfy CMB observations in Higgs inflation violates unitarity. In this work we study Higgs-inflation with non-canonical kinetic term of DBI form to find whether $\xi$ can…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-08 Pooja Pareek , Akhilesh Nautiyal

We consider the Chern--Simons term coupled to the inflaton in the Palatini formulation of general relativity. In contrast to the metric formulation, here the Chern--Simons term affects also the background evolution. We approximately solve…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-11 Ali Hassan , Syksy Rasanen