A fresh look at the nested soft-collinear subtraction scheme: NNLO QCD corrections to N-gluon final states in q q ¯ $$ q\overline{q} $$ annihilation
Abstract We describe how the nested soft-collinear subtraction scheme [1] can be used to compute the next-to-next-to-leading order (NNLO) QCD corrections to the production of an arbitrary number of gluonic jets in hadron collisions. We show that the infrared subtraction terms can be combined into re...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2024)016 |
| _version_ | 1827214412521406464 |
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| author | Federica Devoto Kirill Melnikov Raoul Röntsch Chiara Signorile-Signorile Davide Maria Tagliabue |
| author_facet | Federica Devoto Kirill Melnikov Raoul Röntsch Chiara Signorile-Signorile Davide Maria Tagliabue |
| author_sort | Federica Devoto |
| collection | DOAJ |
| description | Abstract We describe how the nested soft-collinear subtraction scheme [1] can be used to compute the next-to-next-to-leading order (NNLO) QCD corrections to the production of an arbitrary number of gluonic jets in hadron collisions. We show that the infrared subtraction terms can be combined into recurring structures that in many cases are simple iterations of those terms known from next-to-leading order. The way that these recurring structures are identified and computed is fairly general, and can be applied to any partonic process. As an example, we explicitly demonstrate the cancellation of all singularities in the fully-differential cross section for the q q ¯ $$ q\overline{q} $$ → X + Ng process at NNLO in QCD. The finite remainder of the NNLO QCD contribution, which arises upon cancellation of all ϵ-poles, is expressed via relatively simple formulas, which can be implemented in a numerical code in a straightforward way. Our approach can be extended to describe arbitrary processes at NNLO in QCD; the largest remaining challenge at this point is the combinatorics of quark and gluon collinear limits. |
| first_indexed | 2024-03-07T15:23:24Z |
| format | Article |
| id | doaj.art-f67d936bb6db498ea5e77c25a33ea6ac |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2025-03-21T14:30:55Z |
| publishDate | 2024-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f67d936bb6db498ea5e77c25a33ea6ac2024-06-23T11:09:09ZengSpringerOpenJournal of High Energy Physics1029-84792024-02-0120242110710.1007/JHEP02(2024)016A fresh look at the nested soft-collinear subtraction scheme: NNLO QCD corrections to N-gluon final states in q q ¯ $$ q\overline{q} $$ annihilationFederica Devoto0Kirill Melnikov1Raoul Röntsch2Chiara Signorile-Signorile3Davide Maria Tagliabue4Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Clarendon LaboratoryInstitute for Theoretical Particle Physics, KITTif Lab, Dipartimento di Fisica, Universitá di Milano and INFN, Sezione di MilanoInstitute for Theoretical Particle Physics, KITTif Lab, Dipartimento di Fisica, Universitá di Milano and INFN, Sezione di MilanoAbstract We describe how the nested soft-collinear subtraction scheme [1] can be used to compute the next-to-next-to-leading order (NNLO) QCD corrections to the production of an arbitrary number of gluonic jets in hadron collisions. We show that the infrared subtraction terms can be combined into recurring structures that in many cases are simple iterations of those terms known from next-to-leading order. The way that these recurring structures are identified and computed is fairly general, and can be applied to any partonic process. As an example, we explicitly demonstrate the cancellation of all singularities in the fully-differential cross section for the q q ¯ $$ q\overline{q} $$ → X + Ng process at NNLO in QCD. The finite remainder of the NNLO QCD contribution, which arises upon cancellation of all ϵ-poles, is expressed via relatively simple formulas, which can be implemented in a numerical code in a straightforward way. Our approach can be extended to describe arbitrary processes at NNLO in QCD; the largest remaining challenge at this point is the combinatorics of quark and gluon collinear limits.https://doi.org/10.1007/JHEP02(2024)016Higher-Order Perturbative CalculationsRenormalization and RegularizationSpecific QCD Phenomenology |
| spellingShingle | Federica Devoto Kirill Melnikov Raoul Röntsch Chiara Signorile-Signorile Davide Maria Tagliabue A fresh look at the nested soft-collinear subtraction scheme: NNLO QCD corrections to N-gluon final states in q q ¯ $$ q\overline{q} $$ annihilation Journal of High Energy Physics Higher-Order Perturbative Calculations Renormalization and Regularization Specific QCD Phenomenology |
| title | A fresh look at the nested soft-collinear subtraction scheme: NNLO QCD corrections to N-gluon final states in q q ¯ $$ q\overline{q} $$ annihilation |
| title_full | A fresh look at the nested soft-collinear subtraction scheme: NNLO QCD corrections to N-gluon final states in q q ¯ $$ q\overline{q} $$ annihilation |
| title_fullStr | A fresh look at the nested soft-collinear subtraction scheme: NNLO QCD corrections to N-gluon final states in q q ¯ $$ q\overline{q} $$ annihilation |
| title_full_unstemmed | A fresh look at the nested soft-collinear subtraction scheme: NNLO QCD corrections to N-gluon final states in q q ¯ $$ q\overline{q} $$ annihilation |
| title_short | A fresh look at the nested soft-collinear subtraction scheme: NNLO QCD corrections to N-gluon final states in q q ¯ $$ q\overline{q} $$ annihilation |
| title_sort | fresh look at the nested soft collinear subtraction scheme nnlo qcd corrections to n gluon final states in q q ¯ q overline q annihilation |
| topic | Higher-Order Perturbative Calculations Renormalization and Regularization Specific QCD Phenomenology |
| url | https://doi.org/10.1007/JHEP02(2024)016 |
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