Massive Vector Form Factors to Three Loops
Matteo Fael, Fabian Lange, Kay Schönwald, Matthias Steinhauser
Abstract
We compute the three-loop nonsinglet corrections to the photon-quark form factors taking into account the full dependence on the virtuality of the photon and the quark mass. We combine the method of differential equations in an effective way with expansions around regular and singular points. This allows us to obtain results for the form factors with an accuracy of about eight to twelve digits in the whole kinematic range.
Topics & Concepts
PhysicsKinematicsQuarkPhotonParticle physicsRange (aeronautics)Loop (graph theory)Classical mechanicsMathematicsQuantum mechanicsCombinatoricsMaterials scienceComposite materialParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle InteractionsBlack Holes and Theoretical Physics