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arXiv · 0805.4190

MHV amplitudes in N=2 SQCD and in N=4 SYM at one loop

E. W. Nigel Glover·Valentin V. Khoze·Ciaran Williams
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Abstract

Using four-dimensional unitarity and MHV-rules we calculate the one-loop MHV amplitudes with all external particles in the adjoint representation for N=2 supersymmetric QCD with N_f fundamental flavours. We start by considering such amplitudes in the superconformal N=4 gauge theory where the N=4 supersymmetric Ward identities (SWI) guarantee that all MHV amplitudes for all types of external particles are given by the corresponding tree-level result times a universal helicity- and particle-type-independent contribution. In N=2 SQCD the MHV amplitudes differ from those for N=4 for general values of N_f and N_c. However, for N_f=2N_c where the N=2 SQCD is conformal, the N=2 MHV amplitudes (with all external particles in the adjoint representation) are identical to the N=4results. This factorisation at one-loop motivates us to pose a question if there may be a BDS-like factorisation for these amplitudes which also holds at higher orders of perturbation theory in superconformal N=2 theory.

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E. W. Nigel Glover, Valentin V. Khoze, Ciaran Williams. 2008-06-17. MHV amplitudes in N=2 SQCD and in N=4 SYM at one loop. https://doi.org/10.1088/1126-6708%2F2008%2F08%2F033

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