An effective description of dark matter and dark energy in the mildly non-linear regime
Abstract
In the next few years, we are going to probe the low-redshift universe with unprecedented accuracy. Among the various fruits that this will bear, it will greatly improve our knowledge of the dynamics of dark energy, though for this there is a strong theoretical preference for a cosmological constant. We assume that dark energy is described by the so-called Effective Field Theory of Dark Energy, which assumes that dark energy is the Goldstone boson of time translations. Such a formalism makes it easy to ensure that our signatures are consistent with well-established principles of physics. Since most of the information resides at high wavenumbers, it is important to be able to make predictions at the highest wavenumber that is possible. Furthermore, the Effective Field Theory of Large-Scale Structure (EFTofLSS) is a theoretical framework that has allowed us to make accurate predictions in the mildly non-linear regime. In this paper, we derive the non-linear equations that extend the EFTofLSS to include the effect of dark energy both on the matter fields and on the biased tracers. For the specific case of clustering quintessence, we then perturbatively solve to cubic order the resulting non-linear equations and construct the one-loop power spectrum ofmore »
- Authors:
-
- Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States); Univ. Paris Saclay, Gif-sur-Yvette (France)
- Institute for Research in Fundamental Sciences (IPM), Tehran (Iran)
- Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Publication Date:
- Research Org.:
- Stanford Univ., CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1491169
- Alternate Identifier(s):
- OSTI ID: 1369465
- Grant/Contract Number:
- SC0008078; AC02-76SF00515
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Cosmology and Astroparticle Physics
- Additional Journal Information:
- Journal Volume: 2017; Journal Issue: 05; Journal ID: ISSN 1475-7516
- Publisher:
- Institute of Physics (IOP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; cosmological parameters from LSS; dark energy theory; dark matter theory; power spectrum
Citation Formats
Lewandowski, Matthew, Maleknejad, Azadeh, and Senatore, Leonardo. An effective description of dark matter and dark energy in the mildly non-linear regime. United States: N. p., 2017.
Web. doi:10.1088/1475-7516/2017/05/038.
Lewandowski, Matthew, Maleknejad, Azadeh, & Senatore, Leonardo. An effective description of dark matter and dark energy in the mildly non-linear regime. United States. https://doi.org/10.1088/1475-7516/2017/05/038
Lewandowski, Matthew, Maleknejad, Azadeh, and Senatore, Leonardo. Thu .
"An effective description of dark matter and dark energy in the mildly non-linear regime". United States. https://doi.org/10.1088/1475-7516/2017/05/038. https://www.osti.gov/servlets/purl/1491169.
@article{osti_1491169,
title = {An effective description of dark matter and dark energy in the mildly non-linear regime},
author = {Lewandowski, Matthew and Maleknejad, Azadeh and Senatore, Leonardo},
abstractNote = {In the next few years, we are going to probe the low-redshift universe with unprecedented accuracy. Among the various fruits that this will bear, it will greatly improve our knowledge of the dynamics of dark energy, though for this there is a strong theoretical preference for a cosmological constant. We assume that dark energy is described by the so-called Effective Field Theory of Dark Energy, which assumes that dark energy is the Goldstone boson of time translations. Such a formalism makes it easy to ensure that our signatures are consistent with well-established principles of physics. Since most of the information resides at high wavenumbers, it is important to be able to make predictions at the highest wavenumber that is possible. Furthermore, the Effective Field Theory of Large-Scale Structure (EFTofLSS) is a theoretical framework that has allowed us to make accurate predictions in the mildly non-linear regime. In this paper, we derive the non-linear equations that extend the EFTofLSS to include the effect of dark energy both on the matter fields and on the biased tracers. For the specific case of clustering quintessence, we then perturbatively solve to cubic order the resulting non-linear equations and construct the one-loop power spectrum of the total density contrast.},
doi = {10.1088/1475-7516/2017/05/038},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 05,
volume = 2017,
place = {United States},
year = {2017},
month = {5}
}
Web of Science
Works referenced in this record:
Effective field theory of large scale structure at two loops: The apparent scale dependence of the speed of sound
journal, December 2015
- Baldauf, Tobias; Mercolli, Lorenzo; Zaldarriaga, Matias
- Physical Review D, Vol. 92, Issue 12
Analytic prediction of baryonic effects from the EFT of large scale structures
journal, May 2015
- Lewandowski, Matthew; Perko, Ashley; Senatore, Leonardo
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 05
Causality, analyticity and an IR obstruction to UV completion
journal, October 2006
- Adams, Allan; Arkani-Hamed, Nima; Dubovsky, Sergei
- Journal of High Energy Physics, Vol. 2006, Issue 10
Cosmological structure formation with clustering quintessence
journal, March 2011
- Sefusatti, Emiliano; Vernizzi, Filippo
- Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 03
Anthropic Bound on the Cosmological Constant
journal, November 1987
- Weinberg, Steven
- Physical Review Letters, Vol. 59, Issue 22
First‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Determination of Cosmological Parameters
journal, September 2003
- Spergel, D. N.; Verde, L.; Peiris, H. V.
- The Astrophysical Journal Supplement Series, Vol. 148, Issue 1
Cosmological perturbation theory in 1+1 dimensions
journal, January 2016
- McQuinn, Matthew; White, Martin
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 01
The Atacama Cosmology Telescope: temperature and gravitational lensing power spectrum measurements from three seasons of data
journal, April 2014
- Das, Sudeep; Louis, Thibaut; Nolta, Michael R.
- Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 04
Bias in the effective field theory of large scale structures
journal, November 2015
- Senatore, Leonardo
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 11
Consistent effective theory of long-wavelength cosmological perturbations
journal, July 2014
- Carroll, Sean M.; Leichenauer, Stefan; Pollack, Jason
- Physical Review D, Vol. 90, Issue 2
The effective field theory of cosmological large scale structures
journal, September 2012
- Carrasco, John Joseph M.; Hertzberg, Mark P.; Senatore, Leonardo
- Journal of High Energy Physics, Vol. 2012, Issue 9
Efficient Computation of Cosmic Microwave Background Anisotropies in Closed Friedmann‐Robertson‐Walker Models
journal, August 2000
- Lewis, Antony; Challinor, Anthony; Lasenby, Anthony
- The Astrophysical Journal, Vol. 538, Issue 2
The effective field theory of multifield inflation
journal, April 2012
- Senatore, Leonardo; Zaldarriaga, Matias
- Journal of High Energy Physics, Vol. 2012, Issue 4
Effective field theory of cosmic acceleration: An implementation in CAMB
journal, May 2014
- Hu, Bin; Raveri, Marco; Frusciante, Noemi
- Physical Review D, Vol. 89, Issue 10
On the velocity in the Effective Field Theory of Large Scale Structures
journal, March 2014
- Mercolli, Lorenzo; Pajer, Enrico
- Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 03
Galaxy bias and non-linear structure formation in general relativity
journal, October 2011
- Baldauf, Tobias; Seljak, Uroš; Senatore, Leonardo
- Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 10
Essential building blocks of dark energy
journal, August 2013
- Gleyzes, Jerome; Langlois, David; Piazza, Federico
- Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 08
A unifying description of dark energy
journal, November 2014
- Gleyzes, Jérôme; Langlois, David; Vernizzi, Filippo
- International Journal of Modern Physics D, Vol. 23, Issue 13
Galaxy bias and primordial non-Gaussianity
journal, December 2015
- Assassi, Valentin; Baumann, Daniel; Schmidt, Fabian
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 12
The one-loop matter bispectrum in the Effective Field Theory of Large Scale Structures
journal, October 2015
- Angulo, Raul E.; Foreman, Simon; Schmittfull, Marcel
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 10
The trispectrum in the Effective Field Theory of Large Scale Structure
journal, June 2016
- Bertolini, Daniele; Schutz, Katelin; Solon, Mikhail P.
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 06
The effective field theory of inflation
journal, March 2008
- Cheung, Clifford; Fitzpatrick, A. Liam; Kaplan, Jared
- Journal of High Energy Physics, Vol. 2008, Issue 03
An extended action for the effective field theory of dark energy: a stability analysis and a complete guide to the mapping at the basis of EFTCAMB
journal, July 2016
- Frusciante, Noemi; Papadomanolakis, Georgios; Silvestri, Alessandra
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 07
The Effective Field Theory of Large Scale Structures at two loops
journal, July 2014
- Carrasco, John Joseph M.; Foreman, Simon; Green, Daniel
- Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 07
Nonlinear effects of dark energy clustering beyond the acoustic scales
journal, July 2014
- Anselmi, Stefano; Nacir, Diana López; Sefusatti, Emiliano
- Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 07
The IR-resummed Effective Field Theory of Large Scale Structures
journal, February 2015
- Senatore, Leonardo; Zaldarriaga, Matias
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 02
The 2-loop matter power spectrum and the IR-safe integrand
journal, July 2014
- Carrasco, John Joseph M.; Foreman, Simon; Green, Daniel
- Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 07
The bispectrum in the Effective Field Theory of Large Scale Structure
journal, May 2015
- Baldauf, Tobias; Mercolli, Lorenzo; Mirbabayi, Mehrdad
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 05
Equivalence principle and the baryon acoustic peak
journal, August 2015
- Baldauf, Tobias; Mirbabayi, Mehrdad; Simonović, Marko
- Physical Review D, Vol. 92, Issue 4
[ITAL]BVRI[/ITAL] Light Curves for 22 Type I[CLC]a[/CLC] Supernovae
journal, February 1999
- Riess, Adam G.; Kirshner, Robert P.; Schmidt, Brian P.
- The Astronomical Journal, Vol. 117, Issue 2
Measuring the Baryon Acoustic Oscillation scale using the Sloan Digital Sky Survey and 2dF Galaxy Redshift Survey: Measuring the BAO scale
journal, September 2007
- Percival, Will J.; Cole, Shaun; Eisenstein, Daniel J.
- Monthly Notices of the Royal Astronomical Society, Vol. 381, Issue 3
The Lagrangian-space Effective Field Theory of large scale structures
journal, May 2014
- Porto, Rafael A.; Senatore, Leonardo; Zaldarriaga, Matias
- Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 05
Dissipative effects in the effective field theory of inflation
journal, January 2012
- Nacir, Diana López; Porto, Rafael A.; Senatore, Leonardo
- Journal of High Energy Physics, Vol. 2012, Issue 1
Observational probes of cosmic acceleration
journal, September 2013
- Weinberg, David H.; Mortonson, Michael J.; Eisenstein, Daniel J.
- Physics Reports, Vol. 530, Issue 2
Exploring gravitational theories beyond Horndeski
journal, February 2015
- Gleyzes, Jérôme; Langlois, David; Piazza, Federico
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 02
Cosmological non-linearities as an effective fluid
journal, July 2012
- Baumann, Daniel; Nicolis, Alberto; Senatore, Leonardo
- Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 07
Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
journal, September 1998
- Riess, Adam G.; Filippenko, Alexei V.; Challis, Peter
- The Astronomical Journal, Vol. 116, Issue 3
Cosmological parameters from SDSS and WMAP
journal, May 2004
- Tegmark, Max; Strauss, Michael A.; Blanton, Michael R.
- Physical Review D, Vol. 69, Issue 10
Biased tracers and time evolution
journal, July 2015
- Mirbabayi, Mehrdad; Schmidt, Fabian; Zaldarriaga, Matias
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 07
Cosmological Perturbation Theory
journal, January 1984
- Kodama, Hideo; Sasaki, Misao
- Progress of Theoretical Physics Supplement, Vol. 78
Fingerprinting dark energy
journal, October 2009
- Sapone, Domenico; Kunz, Martin
- Physical Review D, Vol. 80, Issue 8
On the statistics of biased tracers in the Effective Field Theory of Large Scale Structures
journal, September 2015
- Angulo, Raul; Fasiello, Matteo; Senatore, Leonardo
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 09
On the renormalization of the effective field theory of large scale structures
journal, August 2013
- Pajer, Enrico; Zaldarriaga, Matias
- Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 08
Precision comparison of the power spectrum in the EFTofLSS with simulations
journal, May 2016
- Foreman, Simon; Perrier, Hideki; Senatore, Leonardo
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 05
On the consistency relation of the three-point function in single-field inflation
journal, February 2008
- Cheung, Clifford; Fitzpatrick, A. Liam; Kaplan, Jared
- Journal of Cosmology and Astroparticle Physics, Vol. 2008, Issue 02
Spherical collapse in quintessence models with zero speed of sound
journal, March 2010
- Creminelli, Paolo; D'Amico, Guido; Noreña, Jorge
- Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 03
The EFT of Large Scale Structures at all redshifts: analytical predictions for lensing
journal, April 2016
- Foreman, Simon; Senatore, Leonardo
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 04
Non-Gaussian covariance of the matter power spectrum in the effective field theory of large scale structure
journal, June 2016
- Bertolini, Daniele; Schutz, Katelin; Solon, Mikhail P.
- Physical Review D, Vol. 93, Issue 12
Starting the Universe: stable violation of the null energy condition and non-standard cosmologies
journal, December 2006
- Creminelli, Paolo; Luty, Markus A.; Nicolis, Alberto
- Journal of High Energy Physics, Vol. 2006, Issue 12
A Measurement of Gravitational Lensing of the Microwave Background Using South pole Telescope data
journal, August 2012
- van Engelen, A.; Keisler, R.; Zahn, O.
- The Astrophysical Journal, Vol. 756, Issue 2
Phenomenology of dark energy: general features of large-scale perturbations
journal, November 2015
- Pèrenon, Louis; Piazza, Federico; Marinoni, Christian
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 11
The properties of cosmic velocity fields
journal, October 2015
- Hahn, Oliver; Angulo, Raul E.; Abel, Tom
- Monthly Notices of the Royal Astronomical Society, Vol. 454, Issue 4
Effective theory of large-scale structure with primordial non-Gaussianity
journal, November 2015
- Assassi, Valentin; Baumann, Daniel; Pajer, Enrico
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 11
Principal shapes and squeezed limits in the effective field theory of large scale structure
journal, November 2016
- Bertolini, Daniele; Solon, Mikhail P.
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 11
Dark Energy Versus Modified Gravity
journal, October 2016
- Joyce, Austin; Lombriser, Lucas; Schmidt, Fabian
- Annual Review of Nuclear and Particle Science, Vol. 66, Issue 1
Cosmological constraints from the SDSS luminous red galaxies
journal, December 2006
- Tegmark, Max; Eisenstein, Daniel J.; Strauss, Michael A.
- Physical Review D, Vol. 74, Issue 12
Test of the Equivalence Principle Using a Rotating Torsion Balance
journal, January 2008
- Schlamminger, S.; Choi, K. -Y.; Wagner, T. A.
- Physical Review Letters, Vol. 100, Issue 4
Clustering of dark matter tracers: generalizing bias for the coming era of precision LSS
journal, August 2009
- McDonald, Patrick; Roy, Arabindo
- Journal of Cosmology and Astroparticle Physics, Vol. 2009, Issue 08
The effective field theory of dark energy
journal, February 2013
- Gubitosi, Giulia; Piazza, Federico; Vernizzi, Filippo
- Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 02
Non-linear dark energy clustering
journal, November 2011
- Anselmi, Stefano; Ballesteros, Guillermo; Pietroni, Massimo
- Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 11
The effective theory of quintessence: the w < −1 side unveiled
journal, February 2009
- Creminelli, Paolo; D'Amico, Guido; Noreña, Jorge
- Journal of Cosmology and Astroparticle Physics, Vol. 2009, Issue 02
The nonlinear power spectrum in clustering quintessence cosmologies
journal, November 2011
- D'Amico, Guido; Sefusatti, Emiliano
- Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 11
Efficient exploration of cosmology dependence in the EFT of LSS
journal, April 2017
- Cataneo, Matteo; Foreman, Simon; Senatore, Leonardo
- Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 04
Contributions to the dark matter 3-Point function from the radiation era
journal, May 2010
- Fitzpatrick, A. Liam; Senatore, Leonardo; Zaldarriaga, Matias
- Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 05
Ghost Condensation and a Consistent IR Modification of Gravity
journal, May 2004
- Hamed, N. Arkani; Cheng, H. S.; Luty, M. A.
- Journal of High Energy Physics, Vol. 2004, Issue 05
Planck 2015 results : XIV. Dark energy and modified gravity
journal, September 2016
- Ade, P. A. R.; Aghanim, N.; Arnaud, M.
- Astronomy & Astrophysics, Vol. 594
Phenomenology of dark energy: exploring the space of theories with future redshift surveys
journal, May 2014
- Piazza, Federico; Steigerwald, Heinrich; Marinoni, Christian
- Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 05
Precision measurement of the local bias of dark matter halos
journal, February 2016
- Lazeyras, Titouan; Wagner, Christian; Baldauf, Tobias
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 02
Measurements of Ω and Λ from 42 High‐Redshift Supernovae
journal, June 1999
- Perlmutter, S.; Aldering, G.; Goldhaber, G.
- The Astrophysical Journal, Vol. 517, Issue 2
Practical approach to cosmological perturbations in modified gravity
journal, May 2013
- Silvestri, Alessandra; Pogosian, Levon; Buniy, Roman V.
- Physical Review D, Vol. 87, Issue 10
A naturally large four-point function in single field inflation
journal, January 2011
- Senatore, Leonardo; Zaldarriaga, Matias
- Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 01
On the reach of perturbative descriptions for dark matter displacement fields
journal, March 2016
- Baldauf, Tobias; Schaan, Emmanuel; Zaldarriaga, Matias
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 03
Cosmological implications of baryon acoustic oscillation measurements
journal, December 2015
- Aubourg, Éric; Bailey, Stephen; Bautista, Julian E.
- Physical Review D, Vol. 92, Issue 12
Dark energy or modified gravity? An effective field theory approach
journal, August 2013
- Bloomfield, Jolyon; Flanagan, Éanna É; Park, Minjoon
- Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 08
Works referencing / citing this record:
Assessing non-linear models for galaxy clustering III: theoretical accuracy for stage IV surveys
journal, October 2019
- Bose, Benjamin; Koyama, Kazuya; Winther, Hans A.
- Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 10
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journal, April 2018
- Cusin, Giulia; Lewandowski, Matthew; Vernizzi, Filippo
- Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 04
Dark Energy and Modified Gravity in the Effective Field Theory of Large-Scale Structure
text, January 2017
- Cusin, Giulia; Lewandowski, Matthew; Vernizzi, Filippo
- arXiv