Abstract
We reproduce the two-loop seven-point remainder function in planar, maximally supersymmetric Yang-Mills theory by direct integration of conformally-regulated chiral integrands. The remainder function is obtained as part of the two-loop logarithm of the MHV amplitude, the regularized form of which we compute directly in this scheme. We compare the scheme-dependent anomalous dimensions and related quantities in the conformal regulator with those found for the Higgs regulator.
Highlights
Specific contributions to the seven-point logarithmAs seven particles is the primary example of interest to us here, it is worthwhile to give the five cyclic generators in (2.8) individual names
Would not be surprising if much of this extra structure was lost to the infrared
We compare the scheme-dependent anomalous dimensions and related quantities in the conformal regulator with those found for the Higgs regulator
Summary
As seven particles is the primary example of interest to us here, it is worthwhile to give the five cyclic generators in (2.8) individual names. As I1 is the only cyclic seed with a log2-divergence for arbitrary n, it is wholly responsible for the leading divergence of the logarithm of MHV amplitudes at two loops. The coefficient of this divergence is related to the (scheme independent) cusp anomalous dimension, and the attentive reader can already see that (2.13) captures the right behavior.
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