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<p>We present partonic contributions to the inclusive gluon-fusion Higgs boson and Drell-Yan production cross sections at Hadron colliders at next-to-next-to-next-to-next-to-leading order (N<sup>4</sup>LO). Specifically, we compute contributions due to the interference of one-loop amplitudes with two-loop amplitudes with three QCD partons and the Higgs boson or a virtual photon. Our result is in the form of a Laurent expansion in the dimensional regulator <i>ϵ</i>, the coefficients of which are analytic functions in the ratio of the Higgs boson or virtual photon mass to the partonic center-of-mass energy. Furthermore, we introduce and deploy a new package implemented in Mathematica, Cifar (“Color Invariant Feynman Amplitude Reducer”), to express color factors in terms of general Casimir invariants of simple compact Lie algebras.</p>

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RVV×V: interference contributions to inclusive Higgs boson and Drell-Yan production at N4LO in QCD

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  • 发表日期：

    2025年11月17日

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  • Bernhard Mistlberger,
  • Adi Suresh

摘要

We present partonic contributions to the inclusive gluon-fusion Higgs boson and Drell-Yan production cross sections at Hadron colliders at next-to-next-to-next-to-next-to-leading order (N4LO). Specifically, we compute contributions due to the interference of one-loop amplitudes with two-loop amplitudes with three QCD partons and the Higgs boson or a virtual photon. Our result is in the form of a Laurent expansion in the dimensional regulator ϵ, the coefficients of which are analytic functions in the ratio of the Higgs boson or virtual photon mass to the partonic center-of-mass energy. Furthermore, we introduce and deploy a new package implemented in Mathematica, Cifar (“Color Invariant Feynman Amplitude Reducer”), to express color factors in terms of general Casimir invariants of simple compact Lie algebras.