2014/04/08 by Christoph Gnendiger, Adrian Signer, Dominik Stöckinger
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Combinatorics #Computer science #Dimension (graph theory) #Factorization #Generalization #Gluon #Helicity #Infrared #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Regularization (linguistics) #Renormalization #hep-ph
paper · pdf · doi:10.1016/j.physletb.2014.05.003
arxiv created 2014/04/08 · openalex publication_date 2014/05/09 · arxiv updated 2014/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider variants of dimensional regularization, including the four-dimensional helicity scheme (fdh) and dimensional reduction (dred), and present the gluon and quark form factors in the fdh scheme at next-to-next-to-leading order. We also discuss the generalization of the infrared factorization formula to fdh and dred. This allows us to extract the cusp anomalous dimension as well as the quark and gluon anomalous dimensions at next-to-next-to-leading order in the fdh and dred scheme, using MS‾ and DR‾ renormalization. To obtain these results we also present the renormalization procedure in these schemes.