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 ε 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
We compute the master integrals containing 2 and 3 massive propagators entering the planar amplitude...
In this talk we present the result for the $n_f$ dependent piece of the three-loop cusp anomalous di...
In this letter we continue the calculation of master integrals for massless three-loop form factors ...
AbstractThe three-loop form factors in massless QCD can be expressed as a linear combination of mast...
We compute the quark and gluon form factors at up to three-loop order within massless perturbative Q...
Gehrmann T, Heinrich G, Huber T, Studerus C. Master integrals for massless three-loop form-factors: ...
We calculate the complete quark and gluon cusp anomalous dimensions in four-loop massless QCD analyt...
The three-loop form factors in massless QCD can be expressed as a linear combination of master integ...
Abstract We analytically compute the four-loop QCD corrections for the colour structure (d F abcd )2...
The light-like cusp anomalous dimension is a universal function in the analysis of infrared divergen...
We compute analytically the matter-dependent contributions to the quartic Casimir term of the four-l...
We consider Quantum Chromodynamics with external vector, axial-vector, scalar and pseudo-scalar curr...
Higher order calculations in perturbative Quantum Field Theories often produce coupled linear system...
We present analytical results for all master integrals for massless three-point functions, with one ...
In this thesis, we study the three-loop QCD form factors. After an introduction and a discussion of ...
We compute the master integrals containing 2 and 3 massive propagators entering the planar amplitude...
In this talk we present the result for the $n_f$ dependent piece of the three-loop cusp anomalous di...
In this letter we continue the calculation of master integrals for massless three-loop form factors ...
AbstractThe three-loop form factors in massless QCD can be expressed as a linear combination of mast...
We compute the quark and gluon form factors at up to three-loop order within massless perturbative Q...
Gehrmann T, Heinrich G, Huber T, Studerus C. Master integrals for massless three-loop form-factors: ...
We calculate the complete quark and gluon cusp anomalous dimensions in four-loop massless QCD analyt...
The three-loop form factors in massless QCD can be expressed as a linear combination of master integ...
Abstract We analytically compute the four-loop QCD corrections for the colour structure (d F abcd )2...
The light-like cusp anomalous dimension is a universal function in the analysis of infrared divergen...
We compute analytically the matter-dependent contributions to the quartic Casimir term of the four-l...
We consider Quantum Chromodynamics with external vector, axial-vector, scalar and pseudo-scalar curr...
Higher order calculations in perturbative Quantum Field Theories often produce coupled linear system...
We present analytical results for all master integrals for massless three-point functions, with one ...
In this thesis, we study the three-loop QCD form factors. After an introduction and a discussion of ...
We compute the master integrals containing 2 and 3 massive propagators entering the planar amplitude...
In this talk we present the result for the $n_f$ dependent piece of the three-loop cusp anomalous di...
In this letter we continue the calculation of master integrals for massless three-loop form factors ...