Conformal symmetry of the Lange-Neubert evolution equation

Braun, V. M. and Manashov, A. N. (2014) Conformal symmetry of the Lange-Neubert evolution equation. PHYSICS LETTERS B, 731. pp. 316-319. ISSN 0370-2693, 1873-2445

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Abstract

The Lange-Neubert evolution equation describes the scale dependence of the wave function of a meson built of an infinitely heavy quark and light antiquark at light-like separations, which is the hydrogen atom problem of QCD. It has numerous applications to the studies of B-meson decays. We show that the kernel of this equation can be written in a remarkably compact form, as a logarithm of the generator of special conformal transformation in the light-ray direction. This representation allows one to study solutions of this equation in a very simple and mathematically consistent manner. Generalizing this result, we show that all heavy-light evolution kernels that appear in the renormalization of higher-twist B-meson distribution amplitudes can be written in the same form. (C) 2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license

Item Type: Article
Uncontrolled Keywords: QCD FACTORIZATION; MESON DECAYS; HEAVY-QUARK;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Vladimir Braun
Depositing User: Dr. Gernot Deinzer
Date Deposited: 14 Nov 2019 10:36
Last Modified: 14 Nov 2019 10:36
URI: https://pred.uni-regensburg.de/id/eprint/10324

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