Abstract
We analytically compute all four-loop QCD corrections to the photon-quark and Higgs-gluon form factors involving a closed massless fermion loop. Our calculation of non-planar vertex integrals confirms a previous conjecture for the analytical form of the non-fermionic contributions to the collinear anomalous dimensions of quarks and gluons.
Highlights
Two of the most important processes which are studied in great detail at the CERN LHC are the production of lepton pairs and Higgs bosons
Our calculation of nonplanar vertex integrals confirms a previous conjecture for the analytical form of the nonfermionic contributions to the collinear anomalous dimensions of quarks and gluons
The total cross sections for Drell-Yan lepton pair production through virtual photons and Higgs boson production through the dominant gluon fusion channel are known to next-to-next-to-next-toleading order (N3LO) in perturbation theory [1,2,3] in the limit of an infinitely heavy top quark
Summary
Two of the most important processes which are studied in great detail at the CERN LHC are the production of lepton pairs and Higgs bosons. The virtual corrections are conveniently expressed in terms of form factors of the photon-quark vertex and the effective gluon-Higgs boson vertex. In the first three-loop calculation of Fq and Fg [9] the coefficients of the highest ε expansion terms of three master integrals were only known numerically. These coefficients have been computed in [10]. Partial contributions to the QCD cusp anomalous dimension are available from [15,16,17,20,24,25,26,27,28] and numerical results are presented in Refs. IV contains our conclusions and an outlook to the full result
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