Three-loop soft function for energetic electroweak boson production at hadron colliders
Abstract We calculate the three-loop soft function for the production of an electroweak boson (Higgs, γ, W ± , Z) with large transverse momentum at a hadron collider. It is the first time a soft function for a three-parton process is computed at next-to-next-to-next-to-leading order (N3LO). As a tec...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-02-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP02(2021)128 |
| _version_ | 1818406786491744256 |
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| author | Ze Long Liu Maximilian Stahlhofen |
| author_facet | Ze Long Liu Maximilian Stahlhofen |
| author_sort | Ze Long Liu |
| collection | DOAJ |
| description | Abstract We calculate the three-loop soft function for the production of an electroweak boson (Higgs, γ, W ± , Z) with large transverse momentum at a hadron collider. It is the first time a soft function for a three-parton process is computed at next-to-next-to-next-to-leading order (N3LO). As a technical novelty, we perform the calculation in terms of forward-scattering-type loop diagrams rather than evaluating phase space integrals. Our three-loop result contains color-tripole contributions and explicitly confirms predictions on the universal infrared structure of QCD scattering amplitudes with three massless parton legs. The soft function is a central ingredient in the factorized cross section for electroweak boson production near the kinematic endpoint (threshold), where the invariant mass of the recoiling hadronic radiation is small compared to its transverse momentum. Our result is required for predictions of the near-threshold cross sections at N3LO and for the resummation of threshold logarithms at primed next-to-next-to-next-to-leading logarithmic (N3LL′) accuracy. |
| first_indexed | 2024-12-14T09:17:29Z |
| format | Article |
| id | doaj.art-fe584f1ee560467195cc076eddbfd9a6 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T09:17:29Z |
| publishDate | 2021-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-fe584f1ee560467195cc076eddbfd9a62022-12-21T23:08:25ZengSpringerOpenJournal of High Energy Physics1029-84792021-02-012021213510.1007/JHEP02(2021)128Three-loop soft function for energetic electroweak boson production at hadron collidersZe Long Liu0Maximilian Stahlhofen1PRISMA+ Cluster of Excellence & Mainz Institute for Theoretical Physics, Johannes Gutenberg UniversityAlbert-Ludwigs-Universität Freiburg, Physikalisches InstitutAbstract We calculate the three-loop soft function for the production of an electroweak boson (Higgs, γ, W ± , Z) with large transverse momentum at a hadron collider. It is the first time a soft function for a three-parton process is computed at next-to-next-to-next-to-leading order (N3LO). As a technical novelty, we perform the calculation in terms of forward-scattering-type loop diagrams rather than evaluating phase space integrals. Our three-loop result contains color-tripole contributions and explicitly confirms predictions on the universal infrared structure of QCD scattering amplitudes with three massless parton legs. The soft function is a central ingredient in the factorized cross section for electroweak boson production near the kinematic endpoint (threshold), where the invariant mass of the recoiling hadronic radiation is small compared to its transverse momentum. Our result is required for predictions of the near-threshold cross sections at N3LO and for the resummation of threshold logarithms at primed next-to-next-to-next-to-leading logarithmic (N3LL′) accuracy.https://doi.org/10.1007/JHEP02(2021)128Effective Field TheoriesPerturbative QCDRenormalization GroupResummation |
| spellingShingle | Ze Long Liu Maximilian Stahlhofen Three-loop soft function for energetic electroweak boson production at hadron colliders Journal of High Energy Physics Effective Field Theories Perturbative QCD Renormalization Group Resummation |
| title | Three-loop soft function for energetic electroweak boson production at hadron colliders |
| title_full | Three-loop soft function for energetic electroweak boson production at hadron colliders |
| title_fullStr | Three-loop soft function for energetic electroweak boson production at hadron colliders |
| title_full_unstemmed | Three-loop soft function for energetic electroweak boson production at hadron colliders |
| title_short | Three-loop soft function for energetic electroweak boson production at hadron colliders |
| title_sort | three loop soft function for energetic electroweak boson production at hadron colliders |
| topic | Effective Field Theories Perturbative QCD Renormalization Group Resummation |
| url | https://doi.org/10.1007/JHEP02(2021)128 |
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