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Title: IR-safe and UV-safe integrands in the EFTofLSS with exact time dependence

Journal Article · · Journal of Cosmology and Astroparticle Physics
 [1];  [2]
  1. Univ. Paris Saclay, Gif-sur-Yvette (France)
  2. Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
+ Show Author Affiliations

Because large-scale structure surveys may very well be the next leading sources of cosmological information, it is important to have a precise understanding of the cosmological observables; for this reason, the Effective Field Theory of Large-Scale Structure (EFTofLSS) was developed. So far, most results in the EFTofLSS have used the so-called Einstein-de Sitter approximation, an approximation of the time dependence which is known to be accurate to better than one percent. However, in order to reach even higher accuracy, the full time dependence must be used. The computation with exact time dependence is sensitive to both infrared (IR) and ultraviolet (UV) effects in the loop integrands, and while these effects must cancel because of diffeomorphism invariance, they make numerical computation much less efficient. We provide a formulation of the one-loop, equal-time exact-time-dependence power spectrum of density perturbations which is manifestly free of these spurious IR and UV divergences at the level of the integrand. We extend our results to the total matter mode with clustering quintessence, show that IR and UV divergences cancel, and provide the associated IR- and UV-safe integrand. This also establishes that the consistency conditions are satisfied in this system. In conclusion, we then use our one-loop result to do an improved precision comparison of the two-loop dark-matter power spectrum with the Dark Sky N-body simulation.

Research Organization:
Stanford Univ., CA (United States); SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0008078; AC02-76SF00515
OSTI ID:
1491170
Alternate ID(s):
OSTI ID: 1394080
Journal Information:
Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 08; ISSN 1475-7516
Publisher:
Institute of Physics (IOP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 28 works
Citation information provided by
Web of Science

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Cited By (9)

The matter power spectrum in redshift space using effective field theory journal November 2017
Dark energy and modified gravity in the Effective Field Theory of Large-Scale Structure journal April 2018
The Hunt for Primordial Interactions in the Large-Scale Structures of the Universe journal August 2019
The matter power spectrum in redshift space using effective field theory text January 2017
Dark Energy and Modified Gravity in the Effective Field Theory of Large-Scale Structure text January 2017
Limits on w CDM from the EFTofLSS with the PyBird code journal January 2021
Tree-Level Bispectrum in the Effective Field Theory of Large-Scale Structure extended to Massive Neutrinos text January 2018
Efficient Cosmological Analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure text January 2019
The Hubble Tension in Light of the Full-Shape Analysis of Large-Scale Structure Data text January 2020

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