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

Bidder, Steven J.; Bjerrum-Bohr, N. E. J.; Dunbar, David C.; Perkins, Warren B.

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

Authors

Bidder, Steven J.

Bjerrum-Bohr, N. E. J.

Dunbar, David C.

Perkins, Warren B.

Description

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