Bispectrum at 1-loop in the Effective Field Theory of Inflation
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| Format: | Preprint |
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2024
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| _version_ | 1866913539735683072 |
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| author | Bhowmick, Supritha Ghosh, Diptimoy Ullah, Farman |
| author_facet | Bhowmick, Supritha Ghosh, Diptimoy Ullah, Farman |
| contents | 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 $\log{\left(k_i/k_T\right)}$ and $\log{\left(H/μ\right)}$, 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 arXiv:0912.2734 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_10374 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bispectrum at 1-loop in the Effective Field Theory of Inflation Bhowmick, Supritha Ghosh, Diptimoy Ullah, Farman High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology 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 $\log{\left(k_i/k_T\right)}$ and $\log{\left(H/μ\right)}$, 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 arXiv:0912.2734 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. |
| title | Bispectrum at 1-loop in the Effective Field Theory of Inflation |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2405.10374 |