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

Braun, V. M. and Ji, Yao and Manashov, A. N. (2019) Two-loop evolution equation for the B-meson distribution amplitude. PHYSICAL REVIEW D, 100 (1): 014023. ISSN 2470-0010, 2470-0029

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: CONFORMAL SYMMETRY; QCD FACTORIZATION; ANOMALOUS DIMENSIONS; DECAYS;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Physics > Institute of Theroretical Physics > Chair Professor Braun
Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Vladimir Braun
Depositing User: Dr. Gernot Deinzer
Date Deposited: 02 Apr 2020 12:20
Last Modified: 02 Apr 2020 12:20
URI: https://pred.uni-regensburg.de/id/eprint/26618

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