Mass definition in heavy quark effective theory and a new determination of [ital V][sub [ital c][ital b]]

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

DOI:https://doi.org/10.1103/PhysRevD.50.5841· OSTI ID:7006671

Ball, P; Nierste, U ^[1]

---

1. Physik Department/T30, TU Muenchen, D-85747 Garching (Germany)

Positive powers of the mass parameter in a physical quantity calculated with the help of heavy quark effective theory (HQET) originate from a Wilson coefficient in the matching of a QCD and a HQET Green function. We show that this mass parameter enters the calculation as a well-defined running current mass. We further argue that the recently found ill definition of the pole mass, which is the natural expansion parameter of HQET, does not affect a phenomenological analysis which uses a truncated perturbative series. We reanalyze inclusive semileptonic decays of heavy mesons and obtain the [ital c] quark mass [ital m][sub [ital c]][sup M[bar S]]([ital m][sub [ital c]])=(1.35[plus minus]0.20) GeV where the error is almost entirely due to scale uncertainties. We also obtain [ital m][sub [ital b]][sup M[bar S]]([ital m][sub [ital b]])=(4.6[plus minus]0.3) GeV and [vert bar][ital V][sub [ital c][ital b]][vert bar]([tau][sub [ital B]]/1.49 ps)[sup 1/2]=0.036[plus minus]0.005 where the errors come from the uncertainty in the kinetic energy of the heavy quark inside the meson, in the experimental branching ratios, in QCD input parameters, and scale uncertainties.

• OSTI ID: 7006671
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:9; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110 -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662210* -- Specific Theories & Interaction Models
662240 -- Models for Strong Interactions-- (1992-)
662350 -- Decays of Mesons-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
BRANCHING RATIO
DECAY
ELEMENTARY PARTICLES
ENERGY
EXPANSION
FERMIONS
FIELD THEORIES
FUNCTIONS
GREEN FUNCTION
HADRONS
KINETIC ENERGY
KOBAYASHI-MASKAWA MATRIX
MASS
MATRICES
MATRIX ELEMENTS
MESONS
PARTICLE DECAY
POSTULATED PARTICLES
Pa
Particle Systematics-- Unified Theories & Models-- (1992-)
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARKS
SEMILEPTONIC DECAY
UNIFIED-FIELD THEORIES
WEAK PARTICLE DECAY