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One-Loop Gluon Scattering Amplitudes in Theories with $N < 4$ Supersymmetries
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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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Non-factorizable Superamplitudes for Massive N = 1 Superstates
Massive N=1 superamplitudes for chiral multiplets have the universal non-factorizable form δ^(2)(Q†) Q^2 ∏(1 - 1/2 η_i^2), with form factors built from Q and Q† insertions.
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