One-Loop Gluon Scattering Amplitudes in Theories with $N<4$ Supersymmetries

Abstract

Generalised unitarity techniques are used to calculate the coefficients of box and triangle integral functions of one-loop gluon scattering amplitudes in gauge theories with $N<4$ supersymmetries. We show that the box coefficients in N=1 and N=0 theories inherit the same coplanar and collinear constraints as the corresponding N=4 coefficients. We use triple cuts to determine the coefficients of the triangle integral functions and present, as an example, the full expression for the one-loop amplitude $A^{N=1}(1^{-},2^{-},3^{-},4^{+},..,n^{+})$.

15 pages, minor typos corrected