On the bispectra of very massive tracers in the Effective Field Theory of Large-Scale Structure

Journal Article · 31 January 2018 · Journal of Cosmology and Astroparticle Physics

DOI: https://doi.org/10.1088/1475-7516/2018/02/058 · OSTI ID:1437577

Nadler, Ethan O. ^[1]; Perko, Ashley ^[2]; Senatore, Leonardo ^[3]

---

1. Stanford Univ., CA (United States). Kavli Inst. for Particle Astrophysics and Cosmology and Dept. of Physics
2. Stanford Univ., CA (United States). Kavli Inst. for Particle Astrophysics and Cosmology and Dept. of Physics; Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics; SLAC National Accelerator Lab., Menlo Park, CA (United States); Dartmouth College, Hanover, NH (United States). Dept. of Physics and Astronomy
3. Stanford Univ., CA (United States). Kavli Inst. for Particle Astrophysics and Cosmology and Dept. of Physics; Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics; SLAC National Accelerator Lab., Menlo Park, CA (United States)

The Effective Field Theory of Large-Scale Structure (EFTofLSS) provides a consistent perturbative framework for describing the statistical distribution of cosmological large-scale structure. In a previous EFTofLSS calculation that involved the one-loop power spectra and tree-level bispectra, it was shown that the k-reach of the prediction for biased tracers is comparable for all investigated masses if suitable higher-derivative biases, which are less suppressed for more massive tracers, are added. However, it is possible that the non-linear biases grow faster with tracer mass than the linear bias, implying that loop contributions could be the leading correction to the bispectra. To check this, we include the one-loop contributions in a fit to numerical data in the limit of strongly enhanced higher-order biases. Here, we show that the resulting one-loop power spectra and higher-derivative plus leading one-loop bispectra fit the two- and three-point functions respectively up to k≃0.19 h Mpc^-1 and ksime 0.14 h Mpc^-1 at the percent level. We find that the higher-order bias coefficients are not strongly enhanced, and we argue that the gain in perturbative reach due to the leading one-loop contributions to the bispectra is relatively small. Thus, we conclude that higher-derivative biases provide the leading correction to the bispectra for tracers of a very wide range of masses.

• Research Organization: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
• Sponsoring Organization: USDOE; National Science Foundation (NSF)
• Grant/Contract Number: AC02-76SF00515
• OSTI ID: 1437577
• Alternate ID(s): OSTI ID: 22899026
• Journal Information: Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 02 Vol. 2018; ISSN 1475-7516
• Publisher: Institute of Physics (IOP)Copyright Statement
• Country of Publication: United States
• Language: English