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The Massive Soft Anomalous Dimension Matrix at Two Loops
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We study two-loop anomalous dimension matrices in QCD and related gauge theories for products of Wilson lines coupled at a point. We verify by an analysis in Euclidean space that the contributions to these matrices from diagrams that link three massive Wilson lines do not vanish in general. We show, however, that for two-to-two processes the two-loop anomalous dimension matrix is diagonal in the same color-exchange basis as the one-loop matrix for arbitrary masses at absolute threshold and for scattering at ninety degrees in the center of mass. This result is important for applications of threshold resummation in heavy quark production.
Forward citations
Cited by 2 Pith papers
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Two-loop helicity amplitudes for diphoton production with massive quark loop
Two-loop helicity amplitudes for diphoton production with a massive top quark loop are computed, providing new analytic results for gluon fusion and benchmark numbers for both channels.
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Soft Factorisation and Exponentiation from Schwinger-Space Geometry
Soft-hard factorization and exponentiation of infrared divergences in QED are derived from graph Laplacians and tropical rays in Schwinger parameter space.
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