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We present a complete set of 4-point amplitudes in the constructive Standard Model at tree level. Any 4-point amplitude can be obtained from the results presented here by a suitable choice of masses, a permutation of the particles (by…

高能物理 - 唯象学 · 物理学 2024-06-18 Neil Christensen

The extended BMS algebra contains a conformal subgroup that acts on the celestial sphere as SO(3,1). It is of interest to perform mode expansions of free fields in Minkowski spacetime that realize this symmetry in a simple way. In the…

高能物理 - 理论 · 物理学 2021-07-28 Chang Liu , David A. Lowe

We study three-gluon scattering amplitudes in global de Sitter spacetime, in the angular momentum basis of SO(1,4) symmetry representations. At the tree level, they are determined by the intertwiner integrals of harmonic one-forms on the…

高能物理 - 理论 · 物理学 2026-04-29 Tomasz R. Taylor , Bin Zhu

In this paper, we study the implications of bulk locality on the celestial amplitude. In the context of the four-point amplitude, the fact that the bulk S-matrix factorizes locally in poles of Mandelstam variables is reflected in the…

高能物理 - 理论 · 物理学 2022-06-01 Chi-Ming Chang , Yu-tin Huang , Zi-Xun Huang , Wei Li

The $w_{1+\infty}$ symmetry algebra appears in the Einstein--Yang--Mills theory, proposed recently by Strominger. In this paper, we derive the supersymmetric $w_{1+\infty}$ symmetry by using the known results on the operator product…

高能物理 - 理论 · 物理学 2022-08-11 Changhyun Ahn

We study on-shell scattering amplitudes for continuous-spin particles (CSPs). Poincar\'e invariance, little-group $ISO(2)$ covariance, analyticity, and on-shell factorisation (unitarity) impose stringent conditions on these amplitudes. We…

高能物理 - 理论 · 物理学 2025-05-19 Brando Bellazzini , Stefano De Angelis , Marcello Romano

Marginal operators in a d-dimensional conformal field theory (CFT), those with conformal dimension $\Delta=d$, give us information about the space of related theories. This can be incredibly useful when trying to develop an intrinsic…

高能物理 - 理论 · 物理学 2025-07-22 Sruthi A. Narayanan

Celestial holography suggests, among other things, that collinear singularities of graviton scattering amplitudes are described by the OPEs of some putative dual CFT. One of the great successes has been the insight that this duality is true…

高能物理 - 理论 · 物理学 2025-07-02 Simon Heuveline

We report on the first measurement of the three-point function with the position-dependent correlation function from the SDSS-III Baryon Oscillation Spectroscopic Survey (BOSS) Data Release 10 CMASS sample. This new observable measures the…

宇宙学与河外天体物理 · 物理学 2015-12-02 Chi-Ting Chiang , Christian Wagner , Ariel G. Sánchez , Fabian Schmidt , Eiichiro Komatsu

We propose a systematic approach to celestial holography in massless theories beginning by studying the implications of properly incorporating field configurations built using the eigenstates of central interest: massless conformal primary…

高能物理 - 理论 · 物理学 2024-04-09 Wei Bu , Sean Seet

Assuming a LCDM universe in a single-field inflationary scenario, we compute the three-point correlation function of the observed matter density fluctuation in the squeezed triangular configuration, accounting for all the relativistic…

宇宙学与河外天体物理 · 物理学 2022-08-25 Jaiyul Yoo , Nastassia Grimm , Ermis Mitsou

In the conference presentation we have reviewed the theory of non-Gaussian geometrical measures for the 3D Cosmic Web of the matter distribution in the Universe and 2D sky data, such as Cosmic Microwave Background (CMB) maps that was…

宇宙学与河外天体物理 · 物理学 2016-10-19 Dmitri Pogosyan , Sandrine Codis , Christophe Pichon

We study correlation functions of a conserved spin-1 current $J_\mu$ in three dimensional Conformal Field Theories (CFTs). We investigate the constraints imposed by permutation symmetry and current conservation on the form of three point…

高能物理 - 理论 · 物理学 2020-04-13 Anatoly Dymarsky , Joao Penedones , Emilio Trevisani , Alessandro Vichi

In this paper, we study a novel behavior developed by certain tree-level scalar scattering amplitudes, including the biadjoint, NLSM, and special Galileon, when a subset of kinematic invariants vanishes without producing a singularity. This…

高能物理 - 理论 · 物理学 2022-09-14 Freddy Cachazo , Nick Early , Bruno Umbert

From general arguments, we show that one-loop n-point amplitudes in colourless theories satisfy a new type of reduction formula. These lead to the existence of cancellations beyond supersymmetry. Using such reduction relations we prove the…

高能物理 - 理论 · 物理学 2010-02-03 N. E. J. Bjerrum-Bohr , Pierre Vanhove

Identifying useful flat-space limits for cosmological correlators, where they can be expressed in terms of observables in Minkowski space is nontrivial due to their scale-invariant nature. In recent years, it has been shown that…

高能物理 - 理论 · 物理学 2025-11-06 Sebastian Cespedes , Sadra Jazayeri

We study the bending of gravitons that pass near a massive object like the Sun, using scattering amplitudes in which the Sun is represented by a massive scalar particle. Our results complete previous work on the bending angles of massless…

高能物理 - 理论 · 物理学 2019-06-26 Huan-Hang Chi

Inflationary models predict a definite, model independent, angular dependence for the three-point correlation function of $\Delta T/T$ at large angles (greater than $\sim 1^\circ$) which we calculate. The overall amplitude is model…

天体物理学 · 物理学 2009-10-22 Toby Falk , Raghavan Rangarajan , Mark Srednicki

We compute the three point correlation functions for primordial scalar and tensor fluctuations in single field inflationary models. We obtain explicit expressions in the slow roll limit where the answer is given terms of the two usual slow…

天体物理学 · 物理学 2009-11-07 Juan Maldacena

In this paper we present a complete computation of the Cosmic Microwave Background (CMB) anisotropies up to third order from gravitational perturbations accounting for scalar, vector and tensor perturbations. We then specify our results to…

天体物理学 · 物理学 2008-11-26 G. D'Amico , N. Bartolo , S. Matarrese , A. Riotto
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