The one-loop bispectrum of galaxies in redshift space from the Effective Field Theory of Large-Scale Structure
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2022
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| _version_ | 1866915329008992256 |
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| author | D'Amico, Guido Donath, Yaniv Lewandowski, Matthew Senatore, Leonardo Zhang, Pierre |
| author_facet | D'Amico, Guido Donath, Yaniv Lewandowski, Matthew Senatore, Leonardo Zhang, Pierre |
| contents | We derive the kernels and the Effective Field Theory of Large-Scale Structure counterterms for the one-loop bispectrum of dark matter and of biased tracers in real and redshift space. This requires the expansion of biased tracers up to fourth order in fluctuations. In the process, we encounter several subtleties related to renormalization. One is the fact that, in renormalizing the momentum, a local counterterm contributes non-locally. A second subtlety is related to the renormalization of local products of the velocity fields, which need to be expressed in terms of the renormalized velocity in order to preserve Galilean symmetry. We check that the counterterms we identify are necessary and sufficient to renormalize the one-loop bispectrum at leading and subleading order in the derivative expansion. The kernels that we originally present here have already been used for the first analyses of the one-loop bispectrum in BOSS data [1, 2]. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2211_17130 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The one-loop bispectrum of galaxies in redshift space from the Effective Field Theory of Large-Scale Structure D'Amico, Guido Donath, Yaniv Lewandowski, Matthew Senatore, Leonardo Zhang, Pierre Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Theory We derive the kernels and the Effective Field Theory of Large-Scale Structure counterterms for the one-loop bispectrum of dark matter and of biased tracers in real and redshift space. This requires the expansion of biased tracers up to fourth order in fluctuations. In the process, we encounter several subtleties related to renormalization. One is the fact that, in renormalizing the momentum, a local counterterm contributes non-locally. A second subtlety is related to the renormalization of local products of the velocity fields, which need to be expressed in terms of the renormalized velocity in order to preserve Galilean symmetry. We check that the counterterms we identify are necessary and sufficient to renormalize the one-loop bispectrum at leading and subleading order in the derivative expansion. The kernels that we originally present here have already been used for the first analyses of the one-loop bispectrum in BOSS data [1, 2]. |
| title | The one-loop bispectrum of galaxies in redshift space from the Effective Field Theory of Large-Scale Structure |
| topic | Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2211.17130 |