The Isgur-Wise function from the lattice

Journal Article · Mon Jan 24 04:00:00 EST 1994 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.72.462· OSTI ID:5321116

Booth, S P; Bowler, K C; Hazel, N M; Henty, D S; Hoeber, H; Kenway, R D; Richards, D G; Shanahan, H P; Simone, J N; Simpson, A D ^[1]; Lellouch, L; Nieves, J; Sachrajda, C T; Wittig, H ^[2]

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1. Department of Physics, The University of Edinburgh, Edinburgh EH9 3JZ (United Kingdom)
2. Department of Phsyics, The University, Southampton SO9 5NH (United Kingdom)

We calculate the Isgur-Wise function by measuring the elastic scattering amplitude of a [ital D] meson in the quenched approximation on a 24[sup 3][times]48 lattice at [beta]=6.2, using an [ital O]([ital a])-improved fermion action. Fitting the resulting chirally extrapolated Isgur-Wise function to Stech's relativistic-oscillator parametrization, we obtain a slope parameter [rho][sup 2]=1.2[sub [minus]3][sup +7]. We then use this result, in conjunction with heavy-quark symmetry, to extract [ital V][sub [ital c][ital b]] from the measured [ital [bar B]][r arrow][ital D][sup *][ital l][bar [nu]] differential decay width. We find [vert bar][ital V][sub [ital c][ital b]][vert bar] [radical][tau][sub [ital B]]/1.48 ps =0.038[sub [minus]2[minus]3][sup +2+8], where the first error is due to experimental uncertainties, while the second is due to the uncertainty in our lattice determination of [rho][sup 2].

• OSTI ID: 5321116
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 72:4; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

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662230 -- Quantum Chromodynamics-- (1992-)
662350* -- Decays of Mesons-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
B MESONS
BEAUTY PARTICLES
BOSONS
CHARM PARTICLES
CHARMED MESONS
CORRECTIONS
D MESONS
DECAY
ELASTIC SCATTERING
ELEMENTARY PARTICLES
FIELD THEORIES
FUNCTIONS
HADRONS
KOBAYASHI-MASKAWA MATRIX
LATTICE FIELD THEORY
MATRICES
MESONS
PARTICLE DECAY
PSEUDOSCALAR MESONS
Pa
Particle Systematics-- Unified Theories & Models-- (1992-)
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
RADIATIVE CORRECTIONS
RENORMALIZATION
SCATTERING
SCATTERING AMPLITUDES
SEMILEPTONIC DECAY
UNIFIED-FIELD THEORIES
WEAK PARTICLE DECAY