Three Loop Cusp Anomalous Dimension in QCD

The three-loop cusp anomalous dimension in QCD

We present the full analytic result for the three-loop angle-dependent cusp anomalous dimension in QCD. With this result, infrared divergences of planar scattering processes with massive particles can be predicted to that order. Moreover, we define a closely related quantity in terms of an effective coupling defined by the light-like cusp anomalous dimension. We find evidence that this quantity...

Four-Loop Cusp Anomalous Dimension From Obstructions

Freddy Cachazo, ∗ Marcus Spradlin, † and Anastasia Volovich ‡ Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2J 2W9, Canada Brown University, Providence, Rhode Island 02912, USA Abstract We introduce a method for extracting the cusp anomalous dimension at L loops from four-gluon amplitudes inN = 4 Yang-Mills without evaluating any integrals that depend on the kinematical invari...

Three-loop Cusp Anomalous Dimension and a Conjecture for N Loops

Cusp anomalous dimension in maximally supersymmetric

This talk is mainly based on the work [1] performed in collaboration with B. Basso1 and G. Korchemsky1, where the method of strong coupling expansion of the cusp anomalous dimension was found. The cusp anomalous dimension [2], called also the cusp, is a physical observable, which appears in many branches of particle physics. It is related with the logarithmic growth of the anomalous dimensions ...

Three-loop anomalous dimensions for squarks in supersymmetric QCD

In this paper we evaluate the renormalization constants and anomalous dimensions for the squark wave function and mass within supersymmetric QCD. These results complement the ones obtained in Ref. [1] and thus provide further confirmation on the applicability of dimensional reduction to supersymmetric QCD at three-loop order. The three-loop anomalous dimension constitute important input to prec...