On Triple-cut of scattering amplitudes

Nov, 2006
17 pages
Published in:
  • Phys.Lett.B 644 (2007) 272-283
e-Print:

Citations per year

20062010201420182022051015
Abstract:
It is analysed the triple-cut of one-loop amplitudes in dimensional regularisation within spinor-helicity representation. The triple-cut is defined as a difference of two double-cuts with the same particle content, and a same propagator carrying, respectively, causal and anti-causal prescription in each of the two cuts. That turns out into an effective tool for extracting the coefficients of the three-point functions (and higher-point ones) from one-loop-amplitudes. The phase-space integration is oversimplified by using residues theorem to perform the integration over the spinor variables, via the holomorphic anomaly, and a trivial integration on the Feynman parameter. The results are valid for arbitrary values of dimensions.
  • gauge field theory: Yang-Mills
  • fermion
  • perturbation theory: higher-order
  • regularization: dimensional
  • scattering amplitude: analytic properties