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Related papers: The two and three-loop matter bispectrum in pertur…

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Under the standard perturbation theory (SPT), we obtain the fully consistent third-order density fluctuation and kernels for the general dark energy models without using the Einstein-de Sitter (EdS) universe assumption for the first time.…

Cosmology and Nongalactic Astrophysics · Physics 2014-10-07 Seokcheon Lee , Changbom Park , Sang Gyu Biern

We make progress towards an analytical understanding of the regime of validity of perturbation theory for large scale structures and the nature of some non-perturbative corrections. We restrict ourselves to 1D gravitational collapse, for…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-17 Enrico Pajer , Drian van der Woude

We present measurements of the dark matter bispectrum in N-body simulations with non-Gaussian initial conditions of the local kind for a large variety of triangular configurations and compare them with predictions from Eulerian Perturbation…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Emiliano Sefusatti , Martin Crocce , Vincent Desjacques

We use a set of numerical N-body simulations to study the large-scale behavior of the reduced bispectrum of dark matter and compare the results with the second-order perturbation theory and the halo models for different halo mass functions.…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-11 Hong Guo , Y. P. Jing

The inverse amplitude method is used to unitarize the two loop $\pi\pi$ scattering amplitudes of SU(2) Chiral Perturbation Theory in the $I=0,J=0$, $I=1,J=1$ and $I=2,J=0$ channels. An error analysis in terms of the low energy one-loop…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Nieves , M. Pavon Valderrama , E. Ruiz Arriola

The existing Chiral Perturbation Theory (ChPT) calculations at order $p^6$ are reviewed. The principles of ChPT and how they are used are introduced. The main part is a review of the two- and three-flavour full two-loop calculations and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Johan Bijnens

Dark matter evolution during the process of cosmological structure formation can be described in terms of a one-particle irreducible effective action at a characteristic scale $k_m$ and a loop expansion below this scale, based on the…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-02 Stefan Floerchinger , Mathias Garny , Aris Katsis , Nikolaos Tetradis , Urs Achim Wiedemann

We study the bispectrum in the Effective Field Theory of Large Scale Structure, consistently accounting for the effects of short-scale dynamics. We begin by proving that, as long as the theory is perturbative, it can be formulated to…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Tobias Baldauf , Lorenzo Mercolli , Mehrdad Mirbabayi , Enrico Pajer

Recently a number of analytic prescriptions for computing the non-linear matter power spectrum have appeared in the literature. These typically involve resummation or closure prescriptions which do not have a rigorous error control, thus…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-06 Jordan Carlson , Martin White , Nikhil Padmanabhan

We study the bispectrum of large-scale structure in the EFTofLSS including corrections up to two-loop. We derive an analytic result for the double-hard limit of the two-loop correction, and show that the UV-sensitivity can be absorbed by…

Cosmology and Nongalactic Astrophysics · Physics 2022-03-15 Tobias Baldauf , Mathias Garny , Petter Taule , Theo Steele

Perturbative superstring theory is revisited, with the goal of giving a simpler and more direct demonstration that multi-loop amplitudes are gauge-invariant (apart from known anomalies), satisfy space-time supersymmetry when expected, and…

High Energy Physics - Theory · Physics 2023-11-07 Edward Witten

There has been some recent activity in trying to understand the dark matter clustering properties in the quasilinear regime, through resummation of perturbative terms, otherwise known as the renormalized perturbation theory…

Astrophysics · Physics 2008-11-26 Niayesh Afshordi

We study a two-loop contribution to the dark-matter trispectrum and evaluate it numerically using an infrared-safe integrand. The calculation is organized as an expansion around a fixed reference cosmology: the linear matter power spectrum…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-09 Andrea Favorito

We compare the non-linear matter power spectrum in real space calculated analytically from 3rd-order perturbation theory with N-body simulations at 1<z<6. We find that the perturbation theory prediction agrees with the simulations to better…

Astrophysics · Physics 2010-11-11 Donghui Jeong , Eiichiro Komatsu

We use a suite of high-resolution $N$-body simulations and state-of-the-art perturbation theory to improve the code halofit, which predicts the nonlinear matter power spectrum. We restrict attention to parameters in the vicinity of the…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-09 Robert E. Smith , Raul E. Angulo

We explore the Lagrangian perturbation theory (LPT) at 1-loop order with Gaussian initial conditions. We present an expansion method to approximately compute the power spectrum in LPT. Our approximate solution has good convergence in the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Naonori S. Sugiyama

In this paper, we study the matrix model proposed by Berenstein, Maldacena, and Nastase to describe M-theory on the maximally supersymmetric pp-wave. We show that the model may be derived directly as a discretized theory of supermembranes…

High Energy Physics - Theory · Physics 2009-11-07 Keshav Dasgupta , Mohammad M. Sheikh-Jabbari , Mark Van Raamsdonk

While substantial progress has been made in studying the pre-reconstruction galaxy bispectrum, investigations of the post-reconstruction bispectrum are still in nascent stages. In this paper, we present a bispectrum model that incorporates…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-28 Naonori Sugiyama

We explore the properties of two-point cosmic propagators when Perturbation Theory (PT) loop corrections are consistently taken into account. We show in particular how the interpolation scheme proposed in arXiv:1112.3895 can be explicitly…

Cosmology and Nongalactic Astrophysics · Physics 2014-01-15 Francis Bernardeau , Atsushi Taruya , Takahiro Nishimichi

Recent studies based on the notion of black hole pseudospectrum indicated substantial instability of the fundamental and high-overtone quasinormal modes. Besides its theoretical novelty, the details about the migration of the quasinormal…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Shui-Fa Shen , Wei-Liang Qian , Kai Lin , Cheng-Gang Shao , Yu Pan