Short-distance expansion of heavy-light currents at order1mQ

1993/08/31 by Matthias Neubert · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.49.1542

published as Phys.Rev.D49:1542-1550,1994 · 22 pages LaTeX, SLAC-PUB-6344

arxiv created 1993/08/31 · openalex publication_date 1994/02/01 · arxiv updated 2010/11/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The short-distance expansion of the heavy-light currents q\ensuremathγ^\ensuremathμQ and q\ensuremathγ^\ensuremathμ\ensuremathγ₅Q is constructed to order \frac1m_Q, and to next-to-leading order in renormalization-group-improved perturbation theory. It is shown that the 10 \ifmmode×\else\texttimes\fi 10 anomalous dimension matrix, which describes the scale dependence of the dimension-four effective current operators in the heavy quark effective theory, is to a large extent determined by the equations of motion, heavy quark symmetry, and reparametrization invariance. The next-to-leading order expressions for the Wilson coefficients at order \frac1m_Q depend on only five unknown two-loop anomalous dimensions, among them that of the chromomagnetic operator.

Cited by

• DecayB→πℓνin heavy quark effective theory
• Cancellation of renormalon ambiguities in the heavy quark effective theory