Two-loop corrections to the Isgur-Wise function in QCD sum rules

Journal Article · Sat May 01 04:00:00 EDT 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.47.4063· OSTI ID:6613180

Neubert, M ^[1]

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

We complete the QCD sum rule analysis of the Isgur-Wise form factor [xi]([ital v][center dot][ital v][prime]) at next-to-leading order in renormalization-group improved perturbation theory. To this end, the exact result for the two-loop corrections to the perturbative contribution is derived using the heavy quark effective theory. Several techniques for the evaluation of two-loop integrals involving two different types of heavy quark propagators are discussed in detail, among them the methods of integration by parts and differential equations. The order-[alpha][sub [ital s]] corrections to the Isgur-Wise function turn out to be small and well under control. At large recoil, they tend to decrease the form factor by 5--10%.

• DOE Contract Number: AC03-76SF00515
• OSTI ID: 6613180
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 47:9; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662230* -- Quantum Chromodynamics-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CORRECTIONS
EQUATIONS
FIELD THEORIES
FORM FACTORS
PARTICLE PROPERTIES
PERTURBATION THEORY
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
RADIATIVE CORRECTIONS
RENORMALIZATION
SUM RULES