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 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.
- Authors:
-
[1];
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Johannes Gutenberg Univ., Mainz (Germany)
- Albert Ludwig Univ., Freiburg (Germany)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Laboratory Directed Research and Development (LDRD) Program; German Research Foundation (DFG)
- OSTI Identifier:
- 1804361
- Report Number(s):
- LA-UR-20-28939
Journal ID: ISSN 1029-8479; TRN: US2212277
- Grant/Contract Number:
- 89233218CNA000001; AC52-06NA25396; 39083149
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2021; Journal Issue: 2; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Atomic, Nuclear and Particle Physics; Effective Field Theories; Perturbative QCD; Renormalization Group; Resummation
Citation Formats
Liu, Zelong, and Stahlhofen, Maximilian. Three-loop soft function for energetic electroweak boson production at hadron colliders. United States: N. p., 2021.
Web. doi:10.1007/jhep02(2021)128.
Liu, Zelong, & Stahlhofen, Maximilian. Three-loop soft function for energetic electroweak boson production at hadron colliders. United States. https://doi.org/10.1007/jhep02(2021)128
Liu, Zelong, and Stahlhofen, Maximilian. Tue .
"Three-loop soft function for energetic electroweak boson production at hadron colliders". United States. https://doi.org/10.1007/jhep02(2021)128. https://www.osti.gov/servlets/purl/1804361.
@article{osti_1804361,
title = {Three-loop soft function for energetic electroweak boson production at hadron colliders},
author = {Liu, Zelong and Stahlhofen, Maximilian},
abstractNote = {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.},
doi = {10.1007/jhep02(2021)128},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2021,
place = {United States},
year = {Tue Feb 16 00:00:00 EST 2021},
month = {Tue Feb 16 00:00:00 EST 2021}
}
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