# Higgs inflation: consistency and generalisations

@article{Bezrukov2011HiggsIC, title={Higgs inflation: consistency and generalisations}, author={Fedor Bezrukov and Amaury Magnin and Mikhail Shaposhnikov and Sergey M. Sibiryakov}, journal={Journal of High Energy Physics}, year={2011}, volume={2011}, pages={1-26} }

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 function of the background Higgs field. This domain is bounded above by the cutoff scale which is found to be higher than the relevant dynamical scales throughout the whole history of the Universe, including the inflationary epoch and reheating. We present a… Expand

#### Figures from this paper

#### 379 Citations

Inflation and dark matter in the Higgs portal of classically scale invariant Standard Model

- Physics
- 2013

A bstractWe consider a minimal classically scale-invariant extension of the Standard Model. In this theory, the Higgs mechanism is triggered and the electroweak symmetry breaking is generated… Expand

Unitarizing Higgs Inflation

- Physics
- 2011

Abstract We consider a simple extension of the Standard Model Higgs inflation with one new real scalar field which preserves unitarity up to the Planck scale. The new scalar field (called sigma)… Expand

Aspects of Higgs Inflation

- Physics
- 2019

The earliest stage in the history of the universe is successfully modelled by cosmic inflation, a period of nearly exponential expansion. Due to inflation, the universe became spatially flat, old,… Expand

Higgs inflation and quantum gravity: An exact renormalisation group approach

- Physics
- 2015

We use the Wilsonian functional Renormalisation Group (RG) to study quantum corrections for the Higgs inflationary action including the effect of gravitons, and analyse the leading-order quantum… Expand

Can inflation be connected to low energy particle physics

- Physics
- 2012

It is an interesting question whether low energy degrees of freedom may be responsible for early universe inflation. To examine this, here we present a simple version of Higgs-inflation with minimal… Expand

Quantum corrections in Higgs inflation: the Standard Model case

- Physics
- 2015

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… Expand

Higgs boson, renormalization group, and naturalness in cosmology

- Physics
- 2012

We consider the renormalization group improvement in the theory of the Standard Model (SM) Higgs boson playing the role of an inflaton with a strong non-minimal coupling to gravity. At the one-loop… Expand

On the robustness of the primordial power spectrum in renormalized Higgs inflation

- Physics
- 2017

We study the cosmological consequences of higher-dimensional operators respecting the asymptotic symmetries of the tree-level Higgs inflation action. The main contribution of these operators to the… Expand

Higgs inflation and vacuum stability

- Physics
- 2015

Inflation is nowadays a well-established paradigm consistent with all the observations. The precise nature of the inflaton is however unknown and its role could be played by any candidate able to… Expand

Ultraviolet behaviour of Higgs inflation models

- Physics
- 2021

We study the ultraviolet behaviour of Higgs inflation models above the apparent unitarity violation scale arising from the large non minimal coupling to gravity, by computing on-shell 4-point… Expand

#### References

SHOWING 1-10 OF 38 REFERENCES

Higgs inflation and naturalness

- Physics
- 2010

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… Expand

Running inflation in the Standard Model

- Physics
- 2009

Abstract An interacting scalar field with largish coupling to curvature can support a distinctive inflationary universe scenario. Previously this has been discussed for the Standard Model Higgs… Expand

Higgs boson, renormalization group, and naturalness in cosmology

- Physics
- 2012

We consider the renormalization group improvement in the theory of the Standard Model (SM) Higgs boson playing the role of an inflaton with a strong non-minimal coupling to gravity. At the one-loop… Expand

Standard Model Higgs boson mass from inflation: Two loop analysis

- Physics
- 2009

We extend the analysis of [1] of the Standard Model Higgs inflation accounting for two-loop radiative corrections to the effective potential. As was expected, higher loop effects result in some… Expand

Power-counting and the validity of the classical approximation during inflation

- Physics
- 2009

We use the power-counting formalism of effective field theory to study the size of loop corrections in theories of slow-roll inflation, with the aim of more precisely identifying the limits of… Expand

The Effective Field Theory of Inflation

- Physics
- 2008

We study the effective field theory of inflation, i.e. the most general theory describing the fluctuations around a quasi de Sitter background, in the case of single field models. The scalar mode can… Expand

Standard Model Higgs boson mass from inflation

- Physics
- 2009

We analyse one-loop radiative corrections to the inflationa ry potential in the theory, where inflation is driven by the St andard Model Higgs field. We show that inflation is possible provided the… Expand

On Higgs inflation and naturalness

- Physics
- 2010

We reexamine recent claims that Einstein-frame scattering in the Higgs inflation model is unitary above the cut-off energy Λ ≃ Mp/ξ. We show explicitly how unitarity problems arise in both the… Expand

Particle physics models of inflation and the cosmological density perturbation

- Physics
- 1999

This is a review of particle-theory models of inflation, and of their predictions for the primordial density perturbation that is thought to be the origin of structure in the Universe. It contains… Expand

On initial conditions for the hot big bang

- Physics
- 2009

We analyse the process of reheating the Universe in the electroweak theory where the Higgs field plays a role of the inflaton. We estimate the maximal temperature of the Universe and fix the initial… Expand