The IR-resummed Effective Field Theory of Large Scale Structures

By L. Senatore, M. Zaldarriaga. 2014

261 citations recorded by the source corpus.

We present a new method to resum the effect of large scale motions in the Effective Field Theory of Large Scale Structures. Because the linear power spectrum in ΛCDM is not scale free the effects of the large scale flows are enhanced. Although previous EFT calculations of the equal-time density power spectrum at one and two loops showed a remarkable agreement with numerical results, they also showed a 2% residual which appeared related to the BAO oscillations. We show that this was indeed the case, explain the physical origin and show how a Lagrangian based calculation removes this differences. We propose a simple method to upgrade existing Eulerian calculations to effectively make them Lagrangian and compare the new results with existing fits to numerical simulations. Our new two-loop results agrees with numerical results up to k∼ 0.6 h Mpc−1 to within 1% with no oscillatory residuals. We also compute power spectra involving momentum which is significantly more affected by the large scale flows. We show how keeping track of these velocities significantly enhances the UV reach of the momentum power spectrum in addition to removing the BAO related residuals. We compute predictions for the real space correlation function around the BAO scale and investigate its sensitivity to the EFT parameters and the details of the resummation technique.

Subfields: Astronomy and Astrophysics, Instrumentation

View Paper: https://www.semanticscholar.org/paper/8a9c5cca3d8dda11522fe62c95b781c9715f1321

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. L. Senatore
2. Mikhail Ivanov
3. Guido D'Amico
4. Pierre Zhang
5. M. White
6. Z. Vlah
7. M. Zaldarriaga
8. M. Simonovi'c

In Instrumentation

1. L. Senatore
2. M. White
3. Mikhail Ivanov
4. Z. Vlah
5. Shi-Fan Chen
6. Guido D'Amico
7. Pierre Zhang
8. O. Philcox

Citations in the corpus

• On the statistics of biased tracers in the Effective Field Theory of Large Scale Structures (2015, methodology): “J C A P 0 9 ( 2 0 1 5 ) 0 2 9 power spectrum (see for example [9]).”
• The Hubble tension in light of the Full-Shape analysis of Large-Scale Structure data (2020, methodology): “The dark matter power spectrum has been computed at one-, twoand three-loop orders in [8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19].”
• Limits on wCDM from the EFTofLSS with the PyBird code (2020, methodology): “The dark matter power spectrum has been computed at one-, twoand three-loop orders in [8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19].”
• Biased Tracers in Redshift Space in the EFT of Large-Scale Structure (2016, methodology): “Furthermore, one needs to understand and implement the procedure that is called IR-resummation [5], and that amounts to non-linearly solving for the effect of the long wavelength displacement modes, which are crucial to correctly predicting the BAO peak.”
• Redshift-space distortions in Lagrangian perturbation theory (2020, background): “A salient feature of cosmologies like ΛCDM is that large-scale displacements produce nonlinear damping of spatially localized features in the power spectrum such as baryon acoustic oscillations (BAO) that cannot be captured simply with an order-by-order expansion in the linear initial conditions [18”
• hmcode-2020: improved modelling of non-linear cosmological power spectra with baryonic feedback (2020, background): “In Fourier space this manifests as a scale-dependent decrease in amplitude of the ‘wiggle’ part of the power spectrum (e.g., Crocce & Scoccimarro 2006; Taruya et al. 2010; Senatore & Zaldarriaga 2015).”
• Time-sliced perturbation theory II: baryon acoustic oscillations and infrared resummation (2016, methodology): “Finally, one can stick to the Eulerian picture and try to identify the physical contributions of the bulk flows with the idea to resum the latter at all orders in perturbation theory [8, 9, 18].”
• The Effective Field Theorist's Approach to Gravitational Dynamics (2016, background): “The remaining terms are kept in the exponent, thus incorporating IR effects [153, 346].”
• Consistent modeling of velocity statistics and redshift-space distortions in one-loop perturbation theory (2020, methodology): “3 can be used to motivate resummations of particular contributions to the nonlinear density due to long-wavelength (IR) displacements [39, 72], which can lead to dramatic differences with the predictions of (pure) EPT, as we will see later.”
• The Ups and Downs of Early Dark Energy solutions to the Hubble tension: A review of models, hints and constraints circa 2023 (2023, background): “[231] Leonardo Senatore and Matias Zaldarriaga, “The IR-resummed Effective Field Theory of Large Scale Structures,” JCAP 1502, 013 (2015), arXiv:1404.”
• A Lagrangian effective field theory (2015, methodology): “[37], showing how to derive their formulae within our framework in appendix B.”
• Bias in the effective field theory of large scale structures (2014, methodology): “The two-loop results [5], after IR-resummation [4], show a remarkable 1% agreement with N -body simulations up to the very high wavenumber k ≃ 0.6hMpc−1 at redshift zero.”
• Nonlinear perturbation theory extension of the Boltzmann code CLASS (2020, background): “Since the dominant dynamical effect of the bulk flows is a simple translation produced by the linear theory displacements, there exists a relatively straightforward way to take them into account non-perturbatively [45–52].”
• Combining full-shape and BAO analyses of galaxy power spectra: a 1.6% CMB-independent constraint on H0 (2020, background): “Introduction of infra-red resummation schemes into the EFT alleviates this problem, allowing for an accurate theoretical model into the non-linear regime [46–51].”
• The cosmological analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure (2019, methodology): “The dark matter power spectrum has been computed at one-, two- and three-loop orders in [8, 10, 11, 12, 13, 14, 15, 16, 6, 17, 18].”
• Cosmological parameters from the BOSS galaxy power spectrum (2019, background): “This allows for an exact treatment beyond perturbation theory, which was called infrared (IR) resummation [25].”