An analytic result for the two - loop seven - point MHV amplitude in N = 4 SYM
نویسنده
چکیده
We describe a general algorithm which builds on several pieces of data available in the literature to construct explicit analytic formulas for two-loop MHV amplitudes in N = 4 super-Yang-Mills theory. The non-classical part of an amplitude is built from A3 cluster polylogarithm functions; classical polylogarithms with (negative) cluster X coordinate arguments are added to complete the symbol of the amplitude; beyond-thesymbol terms proportional to π2 are determined by comparison with the differential of the amplitude; and the overall additive constant is fixed by the collinear limit. We present an explicit formula for the seven-point amplitude R (2) 7 as a sample application.
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