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We use a combination of perturbation theory, holography, supersymmetric localization, integrability, and numerical conformal bootstrap methods to constrain the energy-energy correlator in $\text{SU}(N_c)$ ${\mathcal N}=4$ SYM at finite…

High Energy Physics - Theory · Physics 2025-12-12 Ross Dempsey , Robin Karlsson , Silviu S. Pufu , Zahra Zahraee , Alexander Zhiboedov

The exact expressions for integrated maximal $U(1)_Y$ violating (MUV) $n$-point correlators in $SU(N)$ ${\mathcal N}=4$ supersymmetric Yang--Mills theory are determined. The analysis generalises previous results on the integrated correlator…

High Energy Physics - Theory · Physics 2021-12-08 Daniele Dorigoni , Michael B. Green , Congkao Wen

We present an explicit momentum space computation of the four-point function of the energy-momentum tensor in 4 spacetime dimensions for the free and conformally invariant theory of a scalar field. The result is obtained by explicit…

High Energy Physics - Theory · Physics 2020-08-26 Mirko Serino

In this paper, we present a framework for the analytic bootstrap of three-point energy correlators, a crucial observable in $\mathcal{N}=4$ super Yang-Mills theory and quantum chromodynamics (QCD). Our approach combines spherical contour…

High Energy Physics - Phenomenology · Physics 2025-09-30 Jianyu Gong , Andrzej Pokraka , Kai Yan , Xiaoyuan Zhang

The $N$-point energy correlator measures the energy flux through $N$ detectors. We present a general framework that characterizes its full angular dependence in a series of \textit{spinning energy correlators}. These spinning correlators…

High Energy Physics - Phenomenology · Physics 2025-12-22 Marc Riembau , Minho Son

The projected energy correlator measures the energy deposited in multiple detectors as a function of the largest angular distance $x_L = (1 - \cos\chi_L)/2$ between detectors. The collinear limit $x_L\to 0$ of the projected energy…

High Energy Physics - Phenomenology · Physics 2023-07-17 Wen Chen , Jun Gao , Yibei Li , Zhen Xu , Xiaoyuan Zhang , Hua Xing Zhu

We explore single and multi-loop conformal integrals, such as the ones appearing in dual conformal theories in flat space. Using Mellin amplitudes, a large class of higher loop integrals can be written as simple integro-differential…

High Energy Physics - Theory · Physics 2015-06-12 Dhritiman Nandan , Miguel F. Paulos , Marcus Spradlin , Anastasia Volovich

In this paper we study the n-point correlation functions of two different families of local gauge invariant operators in N=4 supersymmetric Yang-Mills theory. The main idea is to consider the correlation functions of operators which all…

High Energy Physics - Theory · Physics 2009-04-17 Nadav Drukker , Jan Plefka

For the $N$-point energy correlator in the collinear limit, the largest projected angle $R$ in the large $N$ limit can be viewed as the radius of the jet that encompasses all the collinear core particles, while contributions from soft…

High Energy Physics - Phenomenology · Physics 2025-10-02 Lin Dai , Chul Kim , Adam K. Leibovich

We compute four-point functions with two maximal giant gravitons and two chiral primary operators at three-loop order in planar $\mathcal{N}=4$ Super-Yang-Mills theory. The Lagrangian insertion method, together with symmetries of the theory…

High Energy Physics - Theory · Physics 2023-12-12 Yunfeng Jiang , Yu Wu , Yang Zhang

We investigate the structure of the constraints on three-point correlation functions emerging when conformal invariance is imposed in momentum space and in arbitrary space-time dimensions, presenting a derivation of their solutions for…

High Energy Physics - Theory · Physics 2015-06-15 Claudio Coriano , Luigi Delle Rose , Emil Mottola , Mirko Serino

One of the most important problems in any conformal field theory is the calculation of three-point functions of primary operators. In this paper we provide explicit examples of correlators with two scalar operators in $\,{\cal N}=4$…

High Energy Physics - Theory · Physics 2015-12-09 D. Arnaudov , R. C. Rashkov

The use of supersymmetric localisation has recently led to modular covariant expressions for certain integrated correlators of half-BPS operators in $\mathcal{N} = 4$ supersymmetric Yang-Mills theory with a general classical gauge group…

High Energy Physics - Theory · Physics 2023-05-10 Daniele Dorigoni , Michael B. Green , Congkao Wen , Haitian Xie

We compute, to the lowest perturbative order in $SU(N)$ Yang-Mills theory, $n$-point correlators in the coordinate and momentum representation of the gauge-invariant twist-$2$ operators with maximal spin along the $p_+$ direction, both in…

High Energy Physics - Theory · Physics 2021-08-31 Marco Bochicchio , Mauro Papinutto , Francesco Scardino

We investigate energy correlators in four-dimensional gravitational theories, which provide a simple class of infrared-finite observables. We compute the one- and two-point energy correlators at one loop in $\mathcal{N}=8$ supergravity and…

High Energy Physics - Theory · Physics 2026-01-01 Dmitry Chicherin , Gregory P. Korchemsky , Emery Sokatchev , Alexander Zhiboedov

We compute the imaginary part of scalar four-point functions in the AdS/CFT correspondence relevant to N=4 super Yang-Mills theory. Unitarity of the AdS supergravity demands that the imaginary parts of the correlation functions factorize…

High Energy Physics - Theory · Physics 2009-10-31 Gordon Chalmers , Koenraad Schalm

N-point energy correlators are powerful observables for studying strong interactions, with applications ranging from extractions of the strong coupling $\alpha_s$ to probes of jet modification in heavy-ion collisions and determination of…

High Energy Physics - Phenomenology · Physics 2026-03-19 Ankita Budhraja , Isabelle Pels , Wouter J. Waalewijn

We derive the explicit expression for the four-point correlation function of stress-energy tensors in four-dimensional N=4 superconformal theory. We show that it has a remarkably simple and suggestive form allowing us to predict a large…

High Energy Physics - Theory · Physics 2016-01-27 G. P. Korchemsky , E. Sokatchev

We perform a systematic study of integrated four-point functions of half-BPS operators in four-dimensional $\mathcal{N}=4$ super Yang-Mills theory with gauge group $SU(N)$. These observables, defined by a certain spacetime integral of…

High Energy Physics - Theory · Physics 2023-02-15 Hynek Paul , Eric Perlmutter , Himanshu Raj

We study the multipoint super-correlation functions of the full non-chiral stress-tensor multiplet in N=4 super-Yang-Mills theory in the Born approximation. We derive effective supergraph Feynman rules for them. Surprisingly, the Feynman…

High Energy Physics - Theory · Physics 2017-04-07 Dmitry Chicherin , Emery Sokatchev