Parity-violating scalar trispectrum from a rolling axion during inflation

Fuente: arXiv
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Main Authors: Fujita, Tomohiro, Murata, Tomoaki, Obata, Ippei, Shiraishi, Maresuke
Format: Preprint
Published: 2023
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author Fujita, Tomohiro
Murata, Tomoaki
Obata, Ippei
Shiraishi, Maresuke
author_facet Fujita, Tomohiro
Murata, Tomoaki
Obata, Ippei
Shiraishi, Maresuke
contents We study a mechanism of generating the trispectrum (4-point correlation) of curvature perturbation through the dynamics of a spectator axion field and U(1) gauge field during inflation. Owing to the Chern-Simons coupling, only one helicity mode of gauge field experiences a tachyonic instability and sources scalar perturbations. Sourced curvature perturbation exhibits parity-violating nature which can be tested through its trispectrum. We numerically compute parity-even and parity-odd component of the sourced trispectrum. It is found that the ratio of parity-odd to parity-even mode can reach O(10%) in an exact equilateral momentum configuration. We also investigate a quasi-equilateral shape where only one of the momenta is slightly longer than the other three, and find that the parity-odd mode can reach, and more interestingly, surpass the parity-even one. This may help us to interpret a large parity-odd trispectrum signal extracted from BOSS galaxy-clustering data.
format Preprint
id arxiv_https___arxiv_org_abs_2310_03551
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Parity-violating scalar trispectrum from a rolling axion during inflation
Fujita, Tomohiro
Murata, Tomoaki
Obata, Ippei
Shiraishi, Maresuke
Cosmology and Nongalactic Astrophysics
We study a mechanism of generating the trispectrum (4-point correlation) of curvature perturbation through the dynamics of a spectator axion field and U(1) gauge field during inflation. Owing to the Chern-Simons coupling, only one helicity mode of gauge field experiences a tachyonic instability and sources scalar perturbations. Sourced curvature perturbation exhibits parity-violating nature which can be tested through its trispectrum. We numerically compute parity-even and parity-odd component of the sourced trispectrum. It is found that the ratio of parity-odd to parity-even mode can reach O(10%) in an exact equilateral momentum configuration. We also investigate a quasi-equilateral shape where only one of the momenta is slightly longer than the other three, and find that the parity-odd mode can reach, and more interestingly, surpass the parity-even one. This may help us to interpret a large parity-odd trispectrum signal extracted from BOSS galaxy-clustering data.
title Parity-violating scalar trispectrum from a rolling axion during inflation
topic Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2310.03551