Title

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

Department

Physics

Document Type

Article

Publication Date

2-18-2016

Abstract

I present analytical expressions for the cusp anomalous dimension in QCD through three loops in terms of elementary functions and ordinary polylogarithms. I observe interesting relations between the results at different loops and provide a conjecture for the n-loop cusp anomalous dimension in terms of the lower-loop results. I also present numerical results and simple approximate formulas for the cusp anomalous dimension relevant to top-quark production.

Journal

International Journal of Modern Physics A

Journal ISSN

1793-656X

Volume

31

Digital Object Identifier (DOI)

10.1142/S0217751X16500767