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Scale-dependence of the $B$-meson LCDA beyond leading order from conformal symmetry

Name: Scale-dependence of the $B$-meson LCDA beyond leading order from conformal symmetry
Keywords: High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), FOS: Physical sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 19 Dec 2019Embargo end date: 01 Jan 2019Publisher:Sissa MedialabJournal:Proceedings of 14th International Symposium on Radiative Corrections — PoS(RADCOR2019)

Authors: Yao Ji; Vladimir M. Braun; Alexander N. Manashov;

doi: 10.22323/1.375.0037 , 10.48550/arxiv.1912.03210

arXiv: http://arxiv.org/abs/1912.03210

Scale-dependence of the $B$-meson LCDA beyond leading order from conformal symmetry

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Abstract

We argue that the evolution kernel for the scale-dependence of the $B$-meson light-cone distribution amplitude (LCDA) can be written, to all orders in perturbation theory, in terms of the generator of special conformal transformations in a modified theory: QCD at critical coupling in non-integer $d\neq 4$ dimensions. Explicit expression for the eigenfunctions of the evolution kernel is derived that is valid, again, to all orders. From a practitioner's point of view the utility of this representation is that it allows to "save one loop" and obtain the evolution kernel to a given order of perturbation theory, up to a constant term, from the calculation of the conformal anomaly at one order less. This construction is verified by explicit calculation at two-loop level.

8 pages, talk presented at RADCOR 2019, 9-13 September 2019

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High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), FOS: Physical sciences

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