Gravitational wave trispectrum in the axion-SU(2) model

Fujita, Tomohiro; Murai, Kai; Obata, Ippei; Shiraishi, Maresuke

doi:10.1088/1475-7516/2022/01/007

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Gravitational wave trispectrum in the axion-SU(2) model

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Obata, Ippei
Physical Cosmology, MPI for Astrophysics, Max Planck Society;

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Citation

Fujita, T., Murai, K., Obata, I., & Shiraishi, M. (2022). Gravitational wave trispectrum in the axion-SU(2) model. Journal of Cosmology and Astroparticle Physics, 2022(1): 007. doi:10.1088/1475-7516/2022/01/007.

Cite as: https://hdl.handle.net/21.11116/0000-0009-D523-F

Abstract

We study the trispectrum of the gravitational waves (GWs) generated through the dynamics of an axionic spectator field and SU(2) gauge fields during inflation. In non-Abelian gauge theory, the gauge fields have four-point self-interactions, which induce the tree-level GW trispectrum. We formulate this type of the GW trispectrum including the non-dynamical contributions and evaluate it in the equilateral limit as a unique signal of this model. We find that the ratio of the GW trispectrum to the cube of the scalar power spectrum can be as large as O(10⁶) in the viable parameter space, which could be captured in the CMB observations.