Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-05-27
JHEP0808:033,2008
Physics
High Energy Physics
High Energy Physics - Theory
In v2 we consider only MHV amplitudes with all external particles in the adjoint representation. References added. 17 pages, 3
Scientific paper
10.1088/1126-6708/2008/08/033
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.
Khoze Valentin V.
Nigel Glover E. W.
Williams Ciaran
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