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A. Slosar, X. Chen, C. Dvorkin, D. Meerburg, B. Wallisch, D. Green et al., Scratches from the Past: Inflationary Archaeology through Features in the Power Spectrum of Primordial Fluctuations , Bull.Am.Astron.Soc. 51
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1903
Earlier work this paper cites.
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1906
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S.-F. Chen, Z. Vlah and M. White, Consistent modeling of velocity statistics and redshift-space distortions in one-loop perturbation theory , JCAP 2020
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D. J. Eisenstein, H.-J. Seo and M. White, On the Robustness of the Acoustic Scale in the Low-Redshift Clustering of Matter , ApJ 664
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S.-F. Chen, Z. Vlah and M. White, Modeling features in the redshift-space halo power spectrum with perturbation theory , JCAP 2020
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T. Matsubara, Resumming cosmological perturbations via the Lagrangian picture: One-loop results in real space and in redshift space , PRD 77
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T. Matsubara, Nonlinear perturbation theory with halo bias and redshift-space distortions via the Lagrangian picture , PRD 78
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Similar

G. P. Lepage, Adaptive multidimensional integration: VEGAS enhanced , Journal of Computational Physics 439
Original
2009
Cited alongside, same era.
X. Chen, Primordial Non-Gaussianities from Inflation Models , Advances in Astronomy 2010
Original
2010
Cited alongside, same era.
R. Flauger, L. McAllister, E. Pajer, A. Westphal and G. Xu, Oscillations in the CMB from axion monodromy inflation , JCAP 2010
Original
2010
Cited alongside, same era.
S.-F. Chen, Z. Vlah, E. Castorina and M. White, Redshift-space distortions in Lagrangian perturbation theory , JCAP 2021
Original
2012
Cited alongside, same era.
C. Rampf and Y. Y. Y. Wong, Lagrangian perturbations and the matter bispectrum II: the resummed one-loop correction to the matter bispectrum , JCAP 2012

Then

D. Blas, M. Garny, M. M. Ivanov and S. Sibiryakov, Time-sliced perturbation theory II: baryon acoustic oscillations and infrared resummation , JCAP 2016
Original
2016
Later among the works it cites.
G. Cabass, E. Pajer and F. Schmidt, Imprints of Oscillatory Bispectra on Galaxy Clustering , JCAP 2018
Original
2018
Later among the works it cites.
A. Moradinezhad Dizgah, H. Lee, J. B. Muñoz and C. Dvorkin, Galaxy bispectrum from massive spinning particles , JCAP 2018
Original
2018
Later among the works it cites.
V. Desjacques, D. Jeong and F. Schmidt, Large-scale galaxy bias , PhysRep 733
Original
2018
Later among the works it cites.
M. Schmittfull, M. Simonović, V. Assassi and M. Zaldarriaga, Modeling biased tracers at the field level , PRD 100

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2024

The Bispectrum in Lagrangian Perturbation Theory

Chen, Shi-Fan, Vlah, Zvonimir, White, Martin

Understand

We study the bispectrum in Lagrangian perturbation theory.

Extending past results for the power spectrum, we describe a method to efficiently compute the bispectrum in LPT, focusing on the Zeldovich approximation, in which contributions due to linear displacements are captured to all orders in a manifestly infrared (IR) safe way.
We then isolate the effects of these linear displacements on oscillatory components of the power spectrum like baryon acoustic oscillations or inflationary primordial features and show that the Eulerian perturbation theory (EPT) prescription wherein their effects are resummed by a Gaussian damping of the oscillations arise as a saddle-point approximation of our calculation.
These two methods of IR resummation are in excellent agreement at 1-loop in the bispectrum.