Evgeny I. Buchbinder and Freddy Cachazo JHEP11(2005)036 doi:10.1088/1126-6708/2005/11/036
Two-loop amplitudes of gluons and octa-cuts in 
= 4 super Yang-Mills
Evgeny I. Buchbinder1 and Freddy Cachazo2
Show affiliations = 4 super Yang-Mills theory can be written in a basis of integrals containing scalar double-box integrals with rational coefficients, though the complete basis is unknown. Generically, at two loops, the leading singular behavior of a scalar double box integral with seven propagators is captured by a hepta-cut. However, it turns out that a certain class of such integrals has an additional propagator-like singularity. One can then formally cut the new propagator to obtain an octa-cut which localizes the cut integral just as a quadruple cut does at one-loop. This immediately gives the coefficient of the scalar double box integral as a product of six tree-level amplitudes. We compute, as examples, several coefficients of the five- and six-gluon non-MHV two-loop amplitudes. We also discuss possible generalizations to higher loops.
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E-print Number: hep-th/0506126
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Issue 11 (November 2005)
Received 14 September 2005, accepted for publication 9 November 2005
Published 23 November 2005
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Two-loop amplitudes of gluons and octa-cuts in = 4 super Yang-Mills
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