Subleading Isgur-Wise form factor [xi][sub 3]([ital v][center dot][ital v][prime]) and its implications for the decays [ital [bar B]][r arrow][ital D][sup (*)][ital l][bar [nu]]

Journal Article · Mon Jan 31 23:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.1302· OSTI ID:5287933

Ligeti, Z; Nir, Y ^[1]; Neubert, M ^[2]

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1. Weizmann Institute of Science, Physics Department, Rehovot 76100 (Israel)
2. Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309 (United States)

We calculate, in the framework of QCD sum rules and to next-to-leading order in perturbation theory, the universal function [xi][sub 3]([ital v][center dot][ital v][prime]) which appears at 1/[ital m][sub [ital Q]] in the heavy quark expansion of meson weak decay form factors. We find that radiative corrections of order [alpha][sub [ital s]] are very important. Over the kinematic range accessible in semileptonic decays, [xi][sub 3]([ital v][center dot][ital v][prime]) is proportional to the leading-order Isgur-Wise function [xi]([ital v][center dot][ital v][prime]) to very good accuracy. Taking into account all sources of uncertainty we estimate [xi][sub 3]/[xi]=(0.6[plus minus]0.2). This reduces the theoretical uncertainty in the extraction of [vert bar][ital V][sub [ital c][ital b]][vert bar] from [ital [bar B]][r arrow][ital Dl][bar [nu]] transitions. A measurement of the form factor ratio [ital A][sub 2]/[ital A][sub 1] in [ital [bar B]][r arrow][ital D][sup *][ital l][bar [nu]] decays can be used to test our prediction.

• DOE Contract Number: AC03-76SF00515
• OSTI ID: 5287933
• 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

Related Subjects

662130 -- General Theory of Particles & Fields-- S-Matrix Theory
Relativistic Scattering Theory-- (1992-)
662240* -- Models for Strong Interactions-- (1992-)
662350 -- Decays of Mesons-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI-B NEUTRAL MESONS
ANTILEPTONS
ANTIMATTER
ANTINEUTRINOS
ANTIPARTICLES
B MESONS
B NEUTRAL MESONS
BEAUTY PARTICLES
BOSONS
CHARM PARTICLES
CHARMED MESONS
CORRECTIONS
D MESONS
DECAY
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
FORM FACTORS
HADRONS
LEPTONS
MASSLESS PARTICLES
MATTER
MESONS
NEUTRINOS
PARTICLE DECAY
PARTICLE PROPERTIES
PERTURBATION THEORY
PSEUDOSCALAR MESONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
RADIATIVE CORRECTIONS
SEMILEPTONIC DECAY
SUM RULES
WEAK PARTICLE DECAY