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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

Dynamics of high energy scattering in Quantum Chromodynamics (QCD) are primarily probed through detector energy flow correlations. One important example is the Energy-Energy Correlator (EEC), whose back-to-back limit probes correlations of…

High Energy Physics - Phenomenology · Physics 2023-01-11 Hao Chen , Xinan Zhou , Hua Xing Zhu

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

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 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 energy correlator measures the energy deposited in multiple detectors as a function of the angles among them. In this paper, an analytic formula is given for the three-point energy correlator with full angle dependence at leading order…

High Energy Physics - Phenomenology · Physics 2022-10-06 Tong-Zhi Yang , Xiaoyuan Zhang

One of the main challenges in obtaining predictions for collider experiments from perturbative quantum field theory, is the direct evaluation of the Feynman integrals it gives rise to. In this chapter, we review an alternative bootstrap…

High Energy Physics - Theory · Physics 2023-01-27 Georgios Papathanasiou

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

We propose a bootstrap program for the {\it form factor squared} with operator ${\rm tr}(\phi^2)$ in maximally supersymmetric Yang-Mills theory in the planar limit, which plays a central role for perturbative calculations of important…

High Energy Physics - Theory · Physics 2025-06-10 Song He , Xiang Li , Jingwen Lin , Jiahao Liu , Kai Yan

In recent years, energy correlators have emerged as powerful observables for probing the fragmentation dynamics of high-energy collisions. We introduce the first numerical strategy for calculating energy correlators using the Hamiltonian…

High Energy Physics - Phenomenology · Physics 2025-05-07 Kyle Lee , Francesco Turro , Xiaojun Yao

We compute three-loop corrections to the three-point form factor of the operator $\operatorname{tr}(\phi^2)$ in $\mathcal{N} = 4$ Super Yang-Mills theory. In particular, our result is valid beyond the leading-color limit and will…

High Energy Physics - Theory · Physics 2025-11-26 Xin Guan , Bernhard Mistlberger , Michael Ruf

We apply the analytic conformal bootstrap method to study weakly coupled conformal gauge theories in four dimensions. We employ twist conformal blocks to find the most general form of the one-loop four-point correlation function of…

High Energy Physics - Theory · Physics 2018-04-04 Johan Henriksson , Tomasz Lukowski

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

The three-loop four-point function of stress-tensor multiplets in N=4 super Yang-Mills theory contains two so far unknown, off-shell, conformal integrals, in addition to the known, ladder-type integrals. In this paper we evaluate the…

High Energy Physics - Theory · Physics 2015-06-15 James Drummond , Claude Duhr , Burkhard Eden , Paul Heslop , Jeffrey Pennington , Vladimir A. Smirnov

The soft anomalous dimension governs the infrared singularities of scattering amplitudes to all orders in perturbative quantum field theory, and is a crucial ingredient in both formal and phenomenological applications of non-abelian gauge…

High Energy Physics - Phenomenology · Physics 2017-10-25 Øyvind Almelid , Claude Duhr , Einan Gardi , Andrew McLeod , Chris D. White

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

Three-dimensional theories with cubic symmetry are studied using the machinery of the numerical conformal bootstrap. Crossing symmetry and unitarity are imposed on a set of mixed correlators, and various aspects of the parameter space are…

High Energy Physics - Theory · Physics 2019-04-03 Stefanos R. Kousvos , Andreas Stergiou

Energy correlators provide a powerful observable to study fragmentation dynamics in QCD. We demonstrate that the leading nonperturbative corrections for projected $N$-point energy correlators are described by the same universal parameter…

High Energy Physics - Phenomenology · Physics 2024-12-12 Kyle Lee , Aditya Pathak , Iain Stewart , Zhiquan Sun

We study the $SU(\infty)$ lattice Yang-Mills theory at the dimensions $D=2,3,4$ via the numerical bootstrap method. It combines the Makeenko-Migdal loop equations, with a cut-off $L_{\mathrm{max}}$ on the maximal length of loops, and…

High Energy Physics - Theory · Physics 2025-01-28 Vladimir Kazakov , Zechuan Zheng

In this thesis, we study the integrands of a special four-point correlation function formed of protected half-BPS operators and scattering amplitudes in planar supersymmetric $\mathcal{N}=4$ Yang-Mills. We use the `soft-collinear bootstrap'…

High Energy Physics - Theory · Physics 2018-06-07 Vuong-Viet Tran
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