Massive three-loop form factors: Anomaly contribution
Matteo Fael, Fabian Lange, Kay Schönwald, Matthias Steinhauser
Abstract
We compute three-loop corrections to the singlet form factors for massive quarks using a semianalytic method which provides precise results over the whole kinematic range. Particular emphasis is put on the anomaly contribution originating from an external axial-vector current. We also discuss in detail the contribution for a pseudoscalar current and verify the chiral Ward identity to three-loop order. Explicit results are presented for the low- and high-energy regions and the expansions around threshold.
Topics & Concepts
PseudoscalarPhysicsAnomaly (physics)Current (fluid)Loop (graph theory)Particle physicsQuarkKinematicsRange (aeronautics)Quantum electrodynamicsTheoretical physicsClassical mechanicsMathematicsQuantum mechanicsEngineeringAerospace engineeringCombinatoricsThermodynamicsParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle InteractionsBlack Holes and Theoretical Physics