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Matter Dependence of the Three-Loop Soft Anomalous Dimension Matrix

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arxiv 0901.3414 v2 pith:B6D4MCUJ submitted 2009-01-22 hep-ph hep-th

Lance J. Dixon This is my paper · ORCID
classification hep-phhep-th
keywords matrixloopsanomalousbeendependenceextendsmatterproportionality
verification ladder T0 review T1 audit T2 compute T3 formal
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The resummation of soft gluon exchange for QCD hard scattering requires a matrix of anomalous dimensions, which has been computed through two loops. The two-loop matrix is proportional to the one-loop matrix. Recently there have been proposals that this proportionality extends to higher loops. One can test such proposals by computing the dependence of this matrix on the matter content in a generic gauge theory. It is shown that for the matter-dependent part the proportionality extends to three loops for arbitrary massless processes.

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  1. Two-loop helicity amplitudes for diphoton production with massive quark loop

    hep-ph 2025-02 conditional novelty 7.0 of 10

    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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