The two-loop bispectrum in the effective theory of large-scale structure

Abstract

We study the bispectrum of large-scale structure in the EFTofLSS including corrections up to two-loop. We derive an analytic result for the double-hard limit of the two-loop correction, and show that the UV-sensitivity can be absorbed by the same four EFT operators that renormalize the one-loop bispectrum. For the single-hard region, we employ a simplified treatment, introducing one extra EFT parameter. We compare our results to N-body simulations, and show that going from one- to two-loop extends the wavenumber range with percent-level agreement from $k\simeq 0.08$ to $0.15h/\mathrm{Mpc}$.

4 pages, 2 figures. Contribution to the 2022 Cosmology session of the 56th Rencontres de Moriond