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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Three-loop QCD corrections to scattering amplitudes of a Higgs boson and three partons

  • Xin Guan1
  • Bernhard Mistlberger1
  • Michael S. Ruf1
  1. 1Stanford University
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Abstract

A bstract : We present helicity amplitudes at three loops in the heavy-top quark effective theory of QCD for the scattering of a Higgs boson and three light partons with full-color dependence. To obtain these results, we use integration-by-parts identities implemented in the code Blade and evaluate the master integrals using canonical differential equations. We obtain compact analytic expressions in terms of generalized polylogarithms suitable for numerical evaluation. We observe that sub-leading color contributions at three loops are numerically as significant as leading-color terms. Our amplitudes are key ingredients for precision LHC phenomenology, for example in production cross sections involving a Higgs boson and a hadronic jet.

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Cite

BibTeXRIS
BibTeX
@article{guan2026threeloop,
  title = {{Three-loop QCD corrections to scattering amplitudes of a Higgs boson and three partons}},
  author = {Xin Guan and Bernhard Mistlberger and Michael S. Ruf},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = nov,
  doi = {10.1007/jhep11(2026)002},
  url = {https://link.springer.com/article/10.1007/JHEP11(2026)002},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Three-loop QCD corrections to scattering amplitudes of a Higgs boson and three partons
AU  - Xin Guan
AU  - Bernhard Mistlberger
AU  - Michael S. Ruf
PY  - 2026
DA  - 2026/11/02
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep11(2026)002
UR  - https://link.springer.com/article/10.1007/JHEP11(2026)002
AB  - A bstract : We present helicity amplitudes at three loops in the heavy-top quark effective theory of QCD for the scattering of a Higgs boson and three light partons with full-color dependence. To obtain these results, we use integration-by-parts identities implemented in the code Blade and evaluate the master integrals using canonical differential equations. We obtain compact analytic expressions in terms of generalized polylogarithms suitable for numerical evaluation. We observe that sub-leading color contributions at three loops are numerically as significant as leading-color terms. Our amplitudes are key ingredients for precision LHC phenomenology, for example in production cross sections involving a Higgs boson and a hadronic jet.
SN  - 1029-8479
ER  -