Bispectrum at 1-loop in the Effective Field Theory of Inflation

A bstract In this paper we compute 1-loop corrections to the bispectrum in the decoupling limit of the Effective Field Theory of Inflation (EFToI). We regulate the divergences by employing dimensional regularization and work in d = 3 + δ dimensions. We find that the final results feature analytic structures of the form log ( k i / k T ) and log ( H / μ ), where H is the Hubble parameter and μ is the renormalisation scale. An interesting outcome of our calculations is that unlike the 1-loop correction to the power-spectrum computed in [1] the unrenormalised answers always produce unphysical logarithms of co-moving momenta. These unphysical logarithms are cancelled only after renormalisation. We expect this to be a generic feature for loop computations unless there is some cancellation as in the previously computed 1-loop result for the power-spectrum.

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Publication Details

Journal
Journal of High Energy Physics
Published
2024-10-08
DOI
https://doi.org/10.1007/jhep10(2024)057
Citations
6
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
1.99
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article

Bispectrum at 1-loop in the Effective Field Theory of Inflation

Farman Ullah, Supritha Bhowmick, Diptimoy Ghosh
6 citations
Journal of High Energy Physics
Cosmology and Gravitation Theories
1.99
article

Bispectrum at 1-loop in the Effective Field Theory of Inflation

Farman Ullah, Supritha Bhowmick, Diptimoy Ghosh
article en
6 citations

Abstract

A bstract In this paper we compute 1-loop corrections to the bispectrum in the decoupling limit of the Effective Field Theory of Inflation (EFToI). We regulate the divergences by employing dimensional regularization and work in d = 3 + δ dimensions. We find that the final results feature analytic structures of the form log ( k i / k T ) and log ( H / μ ), where H is the Hubble parameter and μ is the renormalisation scale. An interesting outcome of our calculations is that unlike the 1-loop correction to the power-spectrum computed in [1] the unrenormalised answers always produce unphysical logarithms of co-moving momenta. These unphysical logarithms are cancelled only after renormalisation. We expect this to be a generic feature for loop computations unless there is some cancellation as in the previously computed 1-loop result for the power-spectrum.

Journal of High Energy PhysicsVol. 2024(10)
Indian Institute of Science Education and Research Pune (IN)
Decent work and economic growth
Openalex Percentile: Top 14%
Cosmology and Gravitation Theories
1.99
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