Quark and Gluon Form Factors in Four-Loop QCD

Roman N Lee; Andreas von Manteuffel; Robert M Schabinger; Alexander V Smirnov; Vladimir A Smirnov; Matthias Steinhauser

doi:10.1103/PhysRevLett.128.212002

Quark and Gluon Form Factors in Four-Loop QCD

Phys Rev Lett. 2022 May 27;128(21):212002. doi: 10.1103/PhysRevLett.128.212002.

Authors

Roman N Lee¹, Andreas von Manteuffel², Robert M Schabinger², Alexander V Smirnov^{3

4}, Vladimir A Smirnov^{4

5}, Matthias Steinhauser⁶

Affiliations

¹ Budker Institute of Nuclear Physics, 630090 Novosibirsk, Russia.
² Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA.
³ Research Computing Center, Moscow State University, 119991 Moscow, Russia.
⁴ Moscow Center for Fundamental and Applied Mathematics, 119992 Moscow, Russia.
⁵ Skobeltsyn Institute of Nuclear Physics of Moscow State University, 119991 Moscow, Russia.
⁶ Institut für Theoretische Teilchenphysik, Karlsruhe Institute of Technology (KIT), 76128 Karlsruhe, Germany.

PMID: 35687465
DOI: 10.1103/PhysRevLett.128.212002

Abstract

We compute the photon-quark and Higgs-gluon form factors to four-loop order within massless perturbative quantum chromodynamics. Our results constitute ready-to-use building blocks for N^{4}LO cross sections for Drell-Yan processes and gluon-fusion Higgs boson production at the LHC. We present complete analytic expressions for both form factors and show several of the most complicated master integrals.