2015/10/31 by Andreas von Manteuffel, Erik Panzer, Robert M. Schabinger
Mathematics · Physics and Astronomy · #Algebra over a field #Algorithm #Basis (linear algebra) #Black Holes and Theoretical Physics #Computation #Cusp (singularity) #Geometry #Massless particle #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Propagator #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.93.125014
published as Phys. Rev. D 93, 125014 (2016) · 28 pages, 3 figures, results and software in ancillary files; v2: fixed diagram in (7.1); v3: added acknowledgement
openalex publication_date 2016/06/10 · arxiv created 2016/08/28 · arxiv updated 2016/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present the bare one-, two-, and three-loop form factors in massless quantum chromodynamics as linear combinations of finite master integrals. Using symbolic integration, we compute their \ensuremathε expansions and thereby reproduce all known results with an independent method. Remarkably, in our finite basis, only integrals with a less-than-maximal number of propagators contribute to the cusp anomalous dimensions. We report on indications of this phenomenon at four loops, including the result for a finite, irreducible, twelve-propagator form factor integral. Together with this article, we provide our automated software setup for the computation of finite master integrals.