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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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15 pages, minor typos corrected

Scientific paper

10.1016/j.physletb.2005.02.045

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 $A^{N=1}(1^-,2^-,3^-,4^+,..,n^+)$.

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