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

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9 Scopus citations

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 = 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.

Original languageEnglish
Article number033
JournalJournal of High Energy Physics
Volume2008
Issue number8
DOIs
StatePublished - Aug 1 2008

Keywords

  • Extended supersymmetry
  • NLO computations
  • QCD
  • Supersymmetric gauge theory

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