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arxiv: 1905.04498 · v1 · pith:NUKE6STUnew · submitted 2019-05-11 · ✦ hep-ph · hep-th

Two-loop evolution equation for the B-meson distribution amplitude

classification ✦ hep-ph hep-th
keywords evolutionamplitudeb-mesonconformalconstantdistributionequationkernel
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We derive the two-loop evolution equation of the B-meson light-cone distribution amplitude which is the last missing element for the next-to-next-to-leading logarithmic resummation of QCD corrections to B decays in QCD factorization. We argue that the evolution kernel to all orders in perturbation theory can be written as a logarithm of the generator of special conformal transformations times the cusp anomalous dimension, up to a scheme-dependent overall constant. Up to this constant term, the evolution kernel to a given order in perturbation theory can be obtained from the calculation of special conformal anomaly at one order less.

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