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arXiv · 2310.03551

Parity-violating scalar trispectrum from a rolling axion during inflation

Tomohiro Fujita·Tomoaki Murata·Ippei Obata·Maresuke Shiraishi
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Abstract

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.

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Tomohiro Fujita, Tomoaki Murata, Ippei Obata, Maresuke Shiraishi. 2023-10-05. Parity-violating scalar trispectrum from a rolling axion during inflation. https://doi.org/10.1088/1475-7516%2F2024%2F05%2F127

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