The Energy-Energy Correlation in the back-to-back limit at N3LO and N3LL′
Abstract We present the analytic formula for the Energy-Energy Correlation (EEC) in electron-positron annihilation computed in perturbative QCD to next-to-next-to-next-to-leading order (N3LO) in the back-to-back limit. In particular, we consider the EEC arising...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin Heidelberg
2021
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| Online Access: | https://hdl.handle.net/1721.1/136866 |
| _version_ | 1826213010170970112 |
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| author | Ebert, Markus A. Mistlberger, Bernhard Vita, Gherardo |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Ebert, Markus A. Mistlberger, Bernhard Vita, Gherardo |
| author_sort | Ebert, Markus A. |
| collection | MIT |
| description | Abstract
We present the analytic formula for the Energy-Energy Correlation (EEC) in electron-positron annihilation computed in perturbative QCD to next-to-next-to-next-to-leading order (N3LO) in the back-to-back limit. In particular, we consider the EEC arising from the annihilation of an electron-positron pair into a virtual photon as well as a Higgs boson and their subsequent inclusive decay into hadrons. Our computation is based on a factorization theorem of the EEC formulated within Soft-Collinear Effective Theory (SCET) for the back-to-back limit. We obtain the last missing ingredient for our computation — the jet function — from a recent calculation of the transverse-momentum dependent fragmentation function (TMDFF) at N3LO. We combine the newly obtained N3LO jet function with the well known hard and soft function to predict the EEC in the back-to-back limit. The leading transcendental contribution of our analytic formula agrees with previously obtained results in
N
$$ \mathcal{N} $$
= 4 supersymmetric Yang-Mills theory. We obtain the N = 2 Mellin moment of the bulk region of the EEC using momentum sum rules. Finally, we obtain the first resummation of the EEC in the back-to-back limit at N3LL′ accuracy, resulting in a factor of ∼ 4 reduction of uncertainties in the peak region compared to N3LL predictions. |
| first_indexed | 2024-09-23T15:42:13Z |
| format | Article |
| id | mit-1721.1/136866 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T15:42:13Z |
| publishDate | 2021 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1368662023-01-10T21:26:14Z The Energy-Energy Correlation in the back-to-back limit at N3LO and N3LL′ Ebert, Markus A. Mistlberger, Bernhard Vita, Gherardo Massachusetts Institute of Technology. Center for Theoretical Physics Abstract We present the analytic formula for the Energy-Energy Correlation (EEC) in electron-positron annihilation computed in perturbative QCD to next-to-next-to-next-to-leading order (N3LO) in the back-to-back limit. In particular, we consider the EEC arising from the annihilation of an electron-positron pair into a virtual photon as well as a Higgs boson and their subsequent inclusive decay into hadrons. Our computation is based on a factorization theorem of the EEC formulated within Soft-Collinear Effective Theory (SCET) for the back-to-back limit. We obtain the last missing ingredient for our computation — the jet function — from a recent calculation of the transverse-momentum dependent fragmentation function (TMDFF) at N3LO. We combine the newly obtained N3LO jet function with the well known hard and soft function to predict the EEC in the back-to-back limit. The leading transcendental contribution of our analytic formula agrees with previously obtained results in N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills theory. We obtain the N = 2 Mellin moment of the bulk region of the EEC using momentum sum rules. Finally, we obtain the first resummation of the EEC in the back-to-back limit at N3LL′ accuracy, resulting in a factor of ∼ 4 reduction of uncertainties in the peak region compared to N3LL predictions. 2021-11-01T14:33:52Z 2021-11-01T14:33:52Z 2021-08-04 2021-08-08T03:30:36Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/136866 Journal of High Energy Physics. 2021 Aug 04;2021(8):22 PUBLISHER_CC en https://doi.org/10.1007/JHEP08(2021)022 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Ebert, Markus A. Mistlberger, Bernhard Vita, Gherardo The Energy-Energy Correlation in the back-to-back limit at N3LO and N3LL′ |
| title | The Energy-Energy Correlation in the back-to-back limit at N3LO and N3LL′ |
| title_full | The Energy-Energy Correlation in the back-to-back limit at N3LO and N3LL′ |
| title_fullStr | The Energy-Energy Correlation in the back-to-back limit at N3LO and N3LL′ |
| title_full_unstemmed | The Energy-Energy Correlation in the back-to-back limit at N3LO and N3LL′ |
| title_short | The Energy-Energy Correlation in the back-to-back limit at N3LO and N3LL′ |
| title_sort | energy energy correlation in the back to back limit at n3lo and n3ll |
| url | https://hdl.handle.net/1721.1/136866 |
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