Operator product expansion sum rules for heavy flavor transitions and the determination of [vert bar][ital V][sub [ital c][ital b]][vert bar]

Journal Article · Wed Mar 01 04:00:00 EST 1995 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.51.2217· OSTI ID:6578540

Shifman, M; Uraltsev, N G; Vainshtein, A ^[1]

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1. Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455 (United States)

We derive a model-independent upper bound for the axial-vector form factor of the [ital B][r arrow][ital D][sup *] transition at zero recoil, [ital F][sub [ital B][r arrow][ital D]][sup *]. The form factor turns out to be noticeably less than unity. The deviation [ital F][sub [ital B][r arrow][ital D]][sup *] from unity is larger than previously anticipated. Using our estimate we extract [vert bar][ital V][sub [ital c][ital b]][vert bar] from the measured exclusive rate of [ital B][r arrow][ital D][sup *][ital l][nu] extrapolated to the point of zero recoil. The central exclusive'' value of [vert bar][ital V][sub [ital c][ital b]][vert bar] is in agreement with the value obtained from the inclusive semileptonic width [Gamma]([ital B][r arrow][ital X][sub [ital c]][ital l][nu]). We argue that the theoretical uncertainty in determining [vert bar][ital V][sub [ital c][ital b]][vert bar] from the total inclusive width is significantly reduced if a constraint on the quark mass difference [ital m][sub [ital b]][minus][ital m][sub [ital c]] stemming from the heavy quark expansion is taken into account.

• DOE Contract Number: FG02-94ER40823
• OSTI ID: 6578540
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 51:5; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
B MESONS
BEAUTY PARTICLES
BOSONS
CHARM PARTICLES
CHARMED MESONS
D -2010 MESONS
D -2420 MESONS
DECAY
DIMENSIONS
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
FORM FACTORS
HADRONS
KOBAYASHI-MASKAWA MATRIX
MASS DIFFERENCE
MATRICES
MATRIX ELEMENTS
MESONS
OPERATOR PRODUCT EXPANSION
PARTICLE DECAY
PARTICLE PROPERTIES
PSEUDOSCALAR MESONS
Pa
Particle Systematics-- Unified Theories & Models-- (1992-)
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
SEMILEPTONIC DECAY
SERIES EXPANSION
SUM RULES
UNIFIED-FIELD THEORIES
VECTOR MESONS
WEAK PARTICLE DECAY
WIDTH