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

Steven J. Bidder·N. E. J. Bjerrum-Bohr·David C. Dunbar·Warren B. Perkins
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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 $A^{N=1}(1^-,2^-,3^-,4^+,..,n^+)$.

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Steven J. Bidder, N. E. J. Bjerrum-Bohr, David C. Dunbar, Warren B. Perkins. 2006-03-23. One-Loop Gluon Scattering Amplitudes in Theories with $N < 4$ Supersymmetries. https://doi.org/10.1016/j.physletb.2005.02.045

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