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We present a compact formula, expressed in terms of classical polylogarithms up to weight three, for the leading order four-point energy correlator in maximally supersymmetric Yang-Mills theory, in the limit where the four detectors are…

High Energy Physics - Theory · Physics 2024-01-15 Dmitry Chicherin , Ian Moult , Emery Sokatchev , Kai Yan , Yunyue Zhu

The leading order $N$-point energy correlators of maximally supersymmetric Yang-Mills theory in the limit where the $N$ detectors are collinear can be expressed as an integral of the $1\to N$ splitting function, which is given by the…

High Energy Physics - Theory · Physics 2024-08-09 Song He , Xuhang Jiang , Qinglin Yang , Yao-Qi Zhang

Energy Correlators measure the energy deposited in multiple detectors as a function of the angles between the detectors. In this paper, we analytically compute the three particle correlator in the collinear limit in QCD for quark and gluon…

High Energy Physics - Phenomenology · Physics 2020-11-10 Hao Chen , Ming-Xing Luo , Ian Moult , Tong-Zhi Yang , Xiaoyuan Zhang , Hua Xing Zhu

Energy Correlators (EC) are the simplest IR finite observables, which connect theories and experiments. In this paper, we provide a systematic algorithm to calculate the canonical differential equations for energy correlators at generic…

High Energy Physics - Phenomenology · Physics 2025-06-04 Rourou Ma , Jianyu Gong , Jingwen Lin , Kai Yan , Gang Yang , Yang Zhang

An analytic formula is given for the three-point energy correlator (EEEC) at leading order (LO) in maximally supersymmetric Yang-Mills theory ($\mathcal{N}=4$ sYM). This is the first analytic calculation of a three-parameter event shape…

High Energy Physics - Theory · Physics 2024-01-18 Kai Yan , Xiaoyuan Zhang

We consider higher-point generalizations of the "octagon" large-charge four-point function in planar N=4 super Yang-Mills theory. These n-point polygon correlators are defined as ten-dimensional null limits of generating functions of…

High Energy Physics - Theory · Physics 2026-01-23 Till Bargheer , Albert Bekov , Carlos Bercini , Frank Coronado

We develop further an approach to computing energy-energy correlations (EEC) directly from finite correlation functions. In this way, one completely avoids infrared divergences. In maximally supersymmetric Yang-Mills theory ($\mathcal{N}=4$…

High Energy Physics - Theory · Physics 2019-09-04 Johannes M. Henn , Emery Sokatchev , Kai Yan , Alexander Zhiboedov

We present a new approach to computing energy-energy correlations in gauge theories that exploits their relation to correlation functions and bypasses the use of scattering amplitudes. We illustrate its power by calculating energy-energy…

High Energy Physics - Theory · Physics 2014-02-26 A. V. Belitsky , S. Hohenegger , G. P. Korchemsky , E. Sokatchev , A. Zhiboedov

We study the three-point energy correlator (EEEC), defined as a matrix element of a product of three energy detectors at different locations on the celestial sphere. Lorentz symmetry implies that the EEEC can be decomposed into special…

High Energy Physics - Theory · Physics 2023-03-22 Cyuan-Han Chang , David Simmons-Duffin

In this paper we study the four-point correlation function of the energy-momentum supermultiplet in theories with N=4 superconformal symmetry in four dimensions. We present a compact form of all component correlators as an invariant of a…

High Energy Physics - Theory · Physics 2014-09-10 A. V. Belitsky , S. Hohenegger , G. P. Korchemsky , E. Sokatchev

This paper concerns a special class of $n$-point correlation functions of operators in the stress tensor supermultiplet of $\mathcal{N}=4$ supersymmetric $SU(N)$ Yang-Mills theory. These are "maximal $U(1)_Y$-violating" correlators that…

High Energy Physics - Theory · Physics 2021-02-24 Michael B. Green , Congkao Wen

Motivated by recent work on the utility of Mellin space for representing conformal correlators in $AdS$/CFT, we study its suitability for representing dual conformal integrals of the type which appear in perturbative scattering amplitudes…

High Energy Physics - Theory · Physics 2015-06-04 Miguel F. Paulos , Marcus Spradlin , Anastasia Volovich

We study the high energy limit of a six-point R-current correlator in N=4 supersymmetric Yang-Mills theory for finite N_c. We make use of the framework of perturbative resummation of large logarithms of the energy. More specifically, we…

High Energy Physics - Theory · Physics 2010-05-12 Jochen Bartels , Carlo Ewerz , Martin Hentschinski , Anna-Maria Mischler

We propose a Mellin space approach to the evaluation of late-time momentum-space correlation functions of quantum fields in $\left(d+1\right)$-dimensional de Sitter space. The Mellin-Barnes representation makes manifest the analytic…

High Energy Physics - Theory · Physics 2020-02-19 Charlotte Sleight

We develop a compact representation of the one-loop n-point functions of all chiral primary operators in planar SU(N), N=4 super Yang-Mills theory in terms of tree-level disk correlation functions and the scalar one-loop box integral. As a…

High Energy Physics - Theory · Physics 2011-06-24 Nadav Drukker , Jan Plefka

This paper is devoted to the calculation by Mellin-Barnes transform of a especial class of integrals. It contains double integrals in the position space in d = 4-2e dimensions, where e is parameter of dimensional regularization. These…

High Energy Physics - Theory · Physics 2010-06-01 Pedro Allendes , Natanael Guerrero , Igor Kondrashuk , Eduardo A. Notte Cuello

We investigate the collinear limit of the energy-energy correlator (EEC) in a heavy-ion context. First, we revisit the leading-logarithmic (LL) resummation of this observable in vacuum following a diagrammatic approach. We argue that this…

High Energy Physics - Phenomenology · Physics 2023-12-25 João Barata , Paul Caucal , Alba Soto-Ontoso , Robert Szafron

A non-trivial consequence of the super-correlator/super-amplitude duality is that the integrand of the four-point correlation function of stress-tensor multiplets in planar N=4 super Yang-Mills contains a certain combination of n-point…

High Energy Physics - Theory · Physics 2018-08-01 Paul Heslop , Vuong-Viet Tran

The energy-energy-correlator (EEC) observable in $e^+e^-$ annihilation measures the energy deposited in two detectors as a function of the angle between the detectors. The collinear limit, where the angle between the two detectors…

High Energy Physics - Phenomenology · Physics 2019-07-17 Lance J. Dixon , Ian Moult , Hua Xing Zhu

We compute the integrands of five-, six-, and seven-point correlation functions of twenty-prime operators with general polarizations at the two-loop order in N=4 super Yang-Mills theory. In addition, we compute the integrand of the…

High Energy Physics - Theory · Physics 2023-08-02 Till Bargheer , Thiago Fleury , Vasco Gonçalves
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