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Infrared singularities of multi-leg QCD amplitudes with a massive parton at three loops

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arxiv 2207.02864 v2 pith:6DQOBUM4 submitted 2022-07-06 hep-ph hep-th

Ze Long Liu , Nicolas Schalch This is my paper
classification hep-phhep-th
keywords massiveinfraredamplitudescorrelationsloopsmasslesspartonpartons
verification ladder T0 review T1 audit T2 compute T3 formal
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We derive the structure of three-loop anomalous dimensions governing infrared singularities of QCD amplitudes with one massive and an arbitrary number of massless external partons. The contributions of tripole and quadrupole correlations involving a massive parton are studied in details. The analytical expression of tripole correlations between one massive and two massless partons is obtained at three loops for the first time. We regularize the infrared divergences in the soft matrix element in a novel approach, where no extra scale dependence is involved, and the calculation can be performed in momentum space. Our results are essential to improve the theoretical predictions of single top and top quark pair productions at hadron colliders.

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Cited by 4 Pith papers

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    Using colour conservation and rescaling symmetry, the two-particle collinear constraints are shown to imply multi-particle collinear factorisation through four loops, and a new triple-collinear constraint is derived f...

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    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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