Two-loop QCD corrections to the V → q q ¯ g $$ q\overline{q}g $$ helicity amplitudes with axial-vector couplings
Abstract We compute the two-loop corrections to the helicity amplitudes for the coupling of a massive vector boson to a massless quark-antiquark pair and a gluon, accounting for vector and axial-vector couplings of the vector boson and distinguishing isospin non-singlet and singlet contributions. A...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2023)041 |
| _version_ | 1797779118581874688 |
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| author | Thomas Gehrmann Tiziano Peraro Lorenzo Tancredi |
| author_facet | Thomas Gehrmann Tiziano Peraro Lorenzo Tancredi |
| author_sort | Thomas Gehrmann |
| collection | DOAJ |
| description | Abstract We compute the two-loop corrections to the helicity amplitudes for the coupling of a massive vector boson to a massless quark-antiquark pair and a gluon, accounting for vector and axial-vector couplings of the vector boson and distinguishing isospin non-singlet and singlet contributions. A new four-dimensional basis for the decomposition of the amplitudes into 12 invariant tensor structures is introduced. The associated form factors are then computed up to two loops in QCD using dimensional regularization. After performing renormalization and infrared subtraction, the finite parts of the renormalized non-singlet vector and axial-vector form factors are shown agree with each other, and to reproduce the previously known two-loop amplitudes. The singlet axial-vector amplitude receives a contribution from the axial anomaly from two loops onwards. This amplitude is computed for massless and massive internal quarks. Our results provide the last missing two-loop amplitudes entering the NNLO QCD corrections of vector-boson-plus-jet production at hadron colliders. |
| first_indexed | 2024-03-12T23:26:09Z |
| format | Article |
| id | doaj.art-61d8b74ba8ba4c969d2daff87b5fcfde |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T23:26:09Z |
| publishDate | 2023-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-61d8b74ba8ba4c969d2daff87b5fcfde2023-07-16T11:07:14ZengSpringerOpenJournal of High Energy Physics1029-84792023-02-012023213010.1007/JHEP02(2023)041Two-loop QCD corrections to the V → q q ¯ g $$ q\overline{q}g $$ helicity amplitudes with axial-vector couplingsThomas Gehrmann0Tiziano Peraro1Lorenzo Tancredi2Physik-Institut, Universität ZürichDipartimento di Fisica e Astronomia, Università di Bologna e INFN, Sezione di BolognaPhysik Department, Technische Universität MünchenAbstract We compute the two-loop corrections to the helicity amplitudes for the coupling of a massive vector boson to a massless quark-antiquark pair and a gluon, accounting for vector and axial-vector couplings of the vector boson and distinguishing isospin non-singlet and singlet contributions. A new four-dimensional basis for the decomposition of the amplitudes into 12 invariant tensor structures is introduced. The associated form factors are then computed up to two loops in QCD using dimensional regularization. After performing renormalization and infrared subtraction, the finite parts of the renormalized non-singlet vector and axial-vector form factors are shown agree with each other, and to reproduce the previously known two-loop amplitudes. The singlet axial-vector amplitude receives a contribution from the axial anomaly from two loops onwards. This amplitude is computed for massless and massive internal quarks. Our results provide the last missing two-loop amplitudes entering the NNLO QCD corrections of vector-boson-plus-jet production at hadron colliders.https://doi.org/10.1007/JHEP02(2023)041Higher-Order Perturbative CalculationsSpecific QCD Phenomenology |
| spellingShingle | Thomas Gehrmann Tiziano Peraro Lorenzo Tancredi Two-loop QCD corrections to the V → q q ¯ g $$ q\overline{q}g $$ helicity amplitudes with axial-vector couplings Journal of High Energy Physics Higher-Order Perturbative Calculations Specific QCD Phenomenology |
| title | Two-loop QCD corrections to the V → q q ¯ g $$ q\overline{q}g $$ helicity amplitudes with axial-vector couplings |
| title_full | Two-loop QCD corrections to the V → q q ¯ g $$ q\overline{q}g $$ helicity amplitudes with axial-vector couplings |
| title_fullStr | Two-loop QCD corrections to the V → q q ¯ g $$ q\overline{q}g $$ helicity amplitudes with axial-vector couplings |
| title_full_unstemmed | Two-loop QCD corrections to the V → q q ¯ g $$ q\overline{q}g $$ helicity amplitudes with axial-vector couplings |
| title_short | Two-loop QCD corrections to the V → q q ¯ g $$ q\overline{q}g $$ helicity amplitudes with axial-vector couplings |
| title_sort | two loop qcd corrections to the v q q ¯ g q overline q g helicity amplitudes with axial vector couplings |
| topic | Higher-Order Perturbative Calculations Specific QCD Phenomenology |
| url | https://doi.org/10.1007/JHEP02(2023)041 |
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