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

## Abstract

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 tomore »

- Authors:

- Stanford Univ., CA (United States). Kavli Inst. for Particle Astrophysics and Cosmology and Dept. of Physics
- 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
- 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)

- Publication Date:

- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)

- Sponsoring Org.:
- USDOE; National Science Foundation (NSF)

- OSTI Identifier:
- 1437577

- Grant/Contract Number:
- AC02-76SF00515; 1720397

- Resource Type:
- Journal Article: Accepted Manuscript

- Journal Name:
- Journal of Cosmology and Astroparticle Physics

- Additional Journal Information:
- Journal Volume: 2018; Journal Issue: 02; Journal ID: ISSN 1475-7516

- Publisher:
- Institute of Physics (IOP)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS

### Citation Formats

```
Nadler, Ethan O., Perko, Ashley, and Senatore, Leonardo.
```*On the bispectra of very massive tracers in the Effective Field Theory of Large-Scale Structure*. United States: N. p., 2018.
Web. doi:10.1088/1475-7516/2018/02/058.

```
Nadler, Ethan O., Perko, Ashley, & Senatore, Leonardo.
```*On the bispectra of very massive tracers in the Effective Field Theory of Large-Scale Structure*. United States. doi:10.1088/1475-7516/2018/02/058.

```
Nadler, Ethan O., Perko, Ashley, and Senatore, Leonardo. Thu .
"On the bispectra of very massive tracers in the Effective Field Theory of Large-Scale Structure". United States.
doi:10.1088/1475-7516/2018/02/058.
```

```
@article{osti_1437577,
```

title = {On the bispectra of very massive tracers in the Effective Field Theory of Large-Scale Structure},

author = {Nadler, Ethan O. and Perko, Ashley and Senatore, Leonardo},

abstractNote = {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.},

doi = {10.1088/1475-7516/2018/02/058},

journal = {Journal of Cosmology and Astroparticle Physics},

number = 02,

volume = 2018,

place = {United States},

year = {Thu Feb 01 00:00:00 EST 2018},

month = {Thu Feb 01 00:00:00 EST 2018}

}