Higher-order non-global logarithms from jet calculus
Abstract Non-global QCD observables are characterised by a sensitivity to the full angular distribution of soft radiation emitted coherently in hard scattering processes. This complexity poses a challenge to their all-order resummation, that was formulated at the leading-logarithmic order about two...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2022)135 |
| _version_ | 1818353628693397504 |
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| author | Andrea Banfi Frédéric A. Dreyer Pier Francesco Monni |
| author_facet | Andrea Banfi Frédéric A. Dreyer Pier Francesco Monni |
| author_sort | Andrea Banfi |
| collection | DOAJ |
| description | Abstract Non-global QCD observables are characterised by a sensitivity to the full angular distribution of soft radiation emitted coherently in hard scattering processes. This complexity poses a challenge to their all-order resummation, that was formulated at the leading-logarithmic order about two decades ago. In this article we present a solution to the long-standing problem of their resummation beyond this order, and carry out the first complete next-to-leading logarithmic calculation for non-global observables. This is achieved by solving numerically the recently derived set of non-linear differential equations which describe the evolution of soft radiation in the planar, large-N c limit. As a case study we address the calculation of the transverse energy distribution in the interjet rapidity region in e + e − → dijet production. The calculation is performed by means of an algorithm that we formulate in the language of jet-calculus generating functionals, which also makes the resummation technique applicable to more general non-global problems, such as those that arise in hadronic collisions. We find that NLL corrections are substantial and their inclusion leads to a significant reduction of the perturbative scale uncertainties for these observables. The computer code used in the calculations is made publicly available. |
| first_indexed | 2024-12-13T19:12:33Z |
| format | Article |
| id | doaj.art-6866ae36209a4fa0ae9a085a7032a31f |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-13T19:12:33Z |
| publishDate | 2022-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-6866ae36209a4fa0ae9a085a7032a31f2022-12-21T23:34:22ZengSpringerOpenJournal of High Energy Physics1029-84792022-03-012022313410.1007/JHEP03(2022)135Higher-order non-global logarithms from jet calculusAndrea Banfi0Frédéric A. Dreyer1Pier Francesco Monni2Department of Physics and Astronomy, University of SussexRudolf Peierls Centre for Theoretical Physics, Clarendon LaboratoryTheoretical Physics Department, CERNAbstract Non-global QCD observables are characterised by a sensitivity to the full angular distribution of soft radiation emitted coherently in hard scattering processes. This complexity poses a challenge to their all-order resummation, that was formulated at the leading-logarithmic order about two decades ago. In this article we present a solution to the long-standing problem of their resummation beyond this order, and carry out the first complete next-to-leading logarithmic calculation for non-global observables. This is achieved by solving numerically the recently derived set of non-linear differential equations which describe the evolution of soft radiation in the planar, large-N c limit. As a case study we address the calculation of the transverse energy distribution in the interjet rapidity region in e + e − → dijet production. The calculation is performed by means of an algorithm that we formulate in the language of jet-calculus generating functionals, which also makes the resummation technique applicable to more general non-global problems, such as those that arise in hadronic collisions. We find that NLL corrections are substantial and their inclusion leads to a significant reduction of the perturbative scale uncertainties for these observables. The computer code used in the calculations is made publicly available.https://doi.org/10.1007/JHEP03(2022)135JetsQCD Phenomenology |
| spellingShingle | Andrea Banfi Frédéric A. Dreyer Pier Francesco Monni Higher-order non-global logarithms from jet calculus Journal of High Energy Physics Jets QCD Phenomenology |
| title | Higher-order non-global logarithms from jet calculus |
| title_full | Higher-order non-global logarithms from jet calculus |
| title_fullStr | Higher-order non-global logarithms from jet calculus |
| title_full_unstemmed | Higher-order non-global logarithms from jet calculus |
| title_short | Higher-order non-global logarithms from jet calculus |
| title_sort | higher order non global logarithms from jet calculus |
| topic | Jets QCD Phenomenology |
| url | https://doi.org/10.1007/JHEP03(2022)135 |
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