Energy correlations in the end-point region
Abstract 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...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)008 |
| _version_ | 1818426306528804864 |
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| author | G.P. Korchemsky |
| author_facet | G.P. Korchemsky |
| author_sort | G.P. Korchemsky |
| collection | DOAJ |
| description | Abstract 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. |
| first_indexed | 2024-12-14T14:27:44Z |
| format | Article |
| id | doaj.art-9dc63fbaf4ac432aa81e126884451e0d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T14:27:44Z |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-9dc63fbaf4ac432aa81e126884451e0d2022-12-21T22:57:54ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020112910.1007/JHEP01(2020)008Energy correlations in the end-point regionG.P. Korchemsky0Institut de Physique Théorique, Université Paris SaclayAbstract 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.https://doi.org/10.1007/JHEP01(2020)008Scattering AmplitudesConformal Field TheoryExtended Supersymmetry |
| spellingShingle | G.P. Korchemsky Energy correlations in the end-point region Journal of High Energy Physics Scattering Amplitudes Conformal Field Theory Extended Supersymmetry |
| title | Energy correlations in the end-point region |
| title_full | Energy correlations in the end-point region |
| title_fullStr | Energy correlations in the end-point region |
| title_full_unstemmed | Energy correlations in the end-point region |
| title_short | Energy correlations in the end-point region |
| title_sort | energy correlations in the end point region |
| topic | Scattering Amplitudes Conformal Field Theory Extended Supersymmetry |
| url | https://doi.org/10.1007/JHEP01(2020)008 |
| work_keys_str_mv | AT gpkorchemsky energycorrelationsintheendpointregion |