4.4 Article

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

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 8, Pages -

Publisher

SPRINGER
DOI: 10.1088/1126-6708/2008/08/033

Keywords

supersymmetric gauge theory; extended supersymmetry; NLO computations; QCD

Funding

  1. Science and Technology Facilities Council [ST/G000905/1] Funding Source: researchfish
  2. STFC [ST/G000905/1] Funding Source: UKRI

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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 Nf and N-c. However, for Nf = 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 = 4 results. 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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