Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-12-10
Nucl.Phys. B725 (2005) 275-305
Physics
High Energy Physics
High Energy Physics - Theory
36 pages, harvmac. 13 figures. v3: References added, typos fixed. Figure 4 added. New n-gluon example with internal fermions a
Scientific paper
10.1016/j.nuclphysb.2005.07.014
One-loop amplitudes of gluons in N=4 gauge theory can be written as linear combinations of known scalar box integrals with coefficients that are rational functions. In this paper we show how to use generalized unitarity to basically read off the coefficients. The generalized unitarity cuts we use are quadruple cuts. These can be directly applied to the computation of four-mass scalar integral coefficients, and we explicitly present results in next-to-next-to-MHV amplitudes. For scalar box functions with at least one massless external leg we show that by doing the computation in signature (--++) the coefficients can also be obtained from quadruple cuts, which are not useful in Minkowski signature. As examples, we reproduce the coefficients of some one-, two-, and three-mass scalar box integrals of the seven-gluon next-to-MHV amplitude, and we compute several classes of three-mass and two-mass-hard coefficients of next-to-MHV amplitudes to all multiplicities.
Britto Ruth
Cachazo Freddy
Feng Bo
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