Cancellation of one-loop correction to soft tensor power spectrum
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917099163615232 |
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| author | Ema, Yohei Hong, Muzi Jinno, Ryusuke Mukaida, Kyohei |
| author_facet | Ema, Yohei Hong, Muzi Jinno, Ryusuke Mukaida, Kyohei |
| contents | We demonstrate that there are no scale-invariant one-loop corrections to the superhorizon tensor perturbations from small-scale (potentially enhanced) scalar perturbations, irrespective of the details of inflationary background time evolution. For this purpose we derive a soft tensor effective field theory at leading order in the gradient expansion by integrating out small-scale scalar fluctuations in a general time-dependent background over the Schwinger-Keldysh contour, i.e., we perform loop calculations in the soft limit of external momentum. The absence of scale-invariant corrections originates from the diffeomorphism invariance of general relativity and is therefore unavoidable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_15780 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cancellation of one-loop correction to soft tensor power spectrum Ema, Yohei Hong, Muzi Jinno, Ryusuke Mukaida, Kyohei Cosmology and Nongalactic Astrophysics High Energy Physics - Phenomenology High Energy Physics - Theory We demonstrate that there are no scale-invariant one-loop corrections to the superhorizon tensor perturbations from small-scale (potentially enhanced) scalar perturbations, irrespective of the details of inflationary background time evolution. For this purpose we derive a soft tensor effective field theory at leading order in the gradient expansion by integrating out small-scale scalar fluctuations in a general time-dependent background over the Schwinger-Keldysh contour, i.e., we perform loop calculations in the soft limit of external momentum. The absence of scale-invariant corrections originates from the diffeomorphism invariance of general relativity and is therefore unavoidable. |
| title | Cancellation of one-loop correction to soft tensor power spectrum |
| topic | Cosmology and Nongalactic Astrophysics High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2506.15780 |