Analytic Computation of three-point energy correlator in QCD

• Published in: The journal of high energy physics Vol. 2022; no. 9; pp. 6 - 41
• Main Authors: Yang, Tong-Zhi, Zhang, Xiaoyuan
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2022; Springer Nature B.V; SpringerOpen
• Subjects: Accuracy; Classical and Quantum Gravitation; Computation; Correlators; Elementary Particles; Energy; High energy physics; Higher-Order Perturbative Calculations; Jets and Jet Substructure; Kinematics; Mathematical analysis; Open data; Physics; Physics and Astronomy; Positron annihilation; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Resummation; Sensors; String Theory; Resummation; Jets and Jet Substructure; Higher-Order Perturbative Calculations
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP09(2022)006

A bstract 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 in electron-positron annihilation. This is the first analytic computation of trijet event shape observables in QCD, which provides valuable data for phenomenological studies. The result is computed with direct integration, where appropriate parameterizations of both phase space and kinematic space are adopted to simplify the calculation. With full shape dependence, our result provides the expansions in various kinematic regions such as equilateral, triple collinear and squeezed limits, which benefit studies on both factorization and large logarithm resummation.