Short-distance expansion of heavy-light currents at order 1/[ital m][sub [ital Q]]

Journal Article · Tue Feb 01 04:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.1542· OSTI ID:5340277

Neubert, M ^[1]

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1. Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309 (United States)

The short-distance expansion of the heavy-light currents [ital [bar q]][gamma][sup [mu]][ital Q] and [ital [bar q]][gamma][sup [mu]][gamma][sub 5][ital Q] is constructed to order 1/[ital m][sub [ital Q]], and to next-to-leading order in renormalization-group-improved perturbation theory. It is shown that the 10[times]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 1/[ital m][sub [ital Q]] depend on only five unknown two-loop anomalous dimensions, among them that of the chromomagnetic operator.

• DOE Contract Number: AC03-76SF00515
• OSTI ID: 5340277
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 49:3; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRAIC CURRENTS
AXIAL-VECTOR CURRENTS
CURRENTS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
EQUATIONS OF MOTION
FERMIONS
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
POSTULATED PARTICLES
QUARKS
RENORMALIZATION
VECTOR CURRENTS