Energy correlations in the end-point region

• Published in: The journal of high energy physics Vol. 2020; no. 1; pp. 1 - 29
• Main Author: Korchemsky, G.P.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2020; Springer Nature B.V; Springer; SpringerOpen
• Subjects: Angular distribution; Classical and Quantum Gravitation; Conformal Field Theory; Correlation analysis; Elementary Particles; Energy distribution; Extended Supersymmetry; High energy physics; High Energy Physics - Phenomenology; High Energy Physics - Theory; Operators (mathematics); Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Scattering Amplitudes; String Theory; Yang-Mills theory; Scattering Amplitudes; Conformal Field Theory; Extended Supersymmetry; partial wave: expansion; field theory: conformal; Yang-Mills: supersymmetry; energy: correlation; n-point function: 4; angular distribution; conservation law; higher-order: 2; resummation
• ISSN: 1029-8479; 1126-6708; 1029-8479
• DOI: 10.1007/JHEP01(2020)008

A bstract The energy-energy correlation (EEC) measures the angular distribution of the energy that flows through two calorimeters separated by some relative angle in the final state created by a source. We study this observable in the limit of small and large angles when it describes the correlation between particles belonging, respectively, to the same jet and to two almost back-to-back jets. We present a new approach to resumming large logarithmically enhanced corrections in both limits that exploits the relation between the energy correlations and four-point correlation functions of conserved currents. At large angle, we derive the EEC from the behaviour of the correlation function in the limit when four operators are light-like separated in a sequential manner. At small angle, in a conformal theory, we obtain the EEC from resummation of the conformal partial wave expansion of the correlation function at short-distance separation between the calorimeters. In both cases, we obtain a concise representation of the EEC in terms of the conformal data of twist-two operators and verify it by comparing with the results of explicit calculation at next-to-next-to-leading order in maximally supersymmetric Yang-Mills theory. As a byproduct of our analysis, we predict the maximal weight part of the analogous QCD expression in the back-to-back limit.