The Six Gluon One-Loop Amplitude

The one-loop scattering amplitude for sixgluons in pure QCD has been an interesting test case for the development of analytic techniques in perturbative gauge theories. The amplitude can be decomposed into various subamplitudes which were calculated between 1993 and 2006 [1–13] in thirteen different publications by 23 authors. The results for the amplitude are spread across a large number of papers. The purpose of this contribution is to bring as many of these as practical together in a common source with a reasonably consistent notation. There is no original material in this process although some of the original results have been expressed in alternate forms. The different pieces have been used in the development of various techniques: this article will focus upon the results not the processes by which they were created. The amplitudes discussed here are available at http : //pyweb.swan.ac.uk/ ∼ dunbar/sixgluon.html in Mathematica format. Many of the helicity amplitudes are included in expressions which are valid for n legs. We will try to show how these specialise to the six gluon case and give the six-gluon case explicitly.