Relativistic Flux Tube Model Calculation of the Isgur-Wise Function

Abstract

The Relativistic Flux Tube model is used to calculate of the Isgur-Wise functions describing the exclusive semileptonic decays of $\bar{B}$ and ${\bar{B}}_s$ mesons. The light quark mass dependence is investigated and the predicted universal function agrees well with the results of lattice simulations, and with the experimental data. Recent experimental measurements of the $\bar{B}\ra D^{*}l\barν_{l}$ decay distribution yield the CKM element $V_{bc}=0.035\pm 0.001$. The IW function slope and second derivative at the zero recoil point are predicted to be ${\xi }^{\prime }(1)=-0.93\pm 0.04$ and ${\xi }^{\prime \prime }(1)=1.7\pm 0.1$ for a range of light quark massses. The importance of including higher derivatives in analyses of experiment is emphasized.

Latex (uses epsf macro), 14 pages of text, 6 postscript figures included. MAD/PH/851

References in corpus (7)

• Measurement of the B -> D^* l nu Branching Fractions and |Vcb|
• Isgur-Wise Functions from the Mit Bag Model
• The Isgur-Wise Function from the Lattice
• A Lattice Calculation of the Isgur-Wise Function
• Computing the Slope of the Isgur-Wise Function
• A Lattice Calculation of the Heavy Quark Universal Form Factor
• A Lattice Calculation of the Heavy Quark Universal Form Factor

Cited by in corpus (13)

• Mass spectra and decay properties of $D_s$ Meson in a relativistic Dirac formalism
• Observations On the Potential Confinement of a Light Fermion
• Mass spectra and decay properties of $D$ Meson in a relativistic Dirac formalism
• Calculation of the Isgur-Wise function from a light-front constituent quark model
• Semi-leptonic B decays into higher charmed resonances
• Fermion Confinement by a Relativistic Flux Tube
• Modelling form factors in HQET
• The anomalous threshold, confinement, and an essential singularity in the heavy-light form factor
• Semileptonic form factors - a model-independent approach
• The Semileptonic $\overline{B}⟶Dl\overline{\nu }$ and $\overline{B_s}⟶D_{s}l\overline{\nu }$ Decays in Isgur-Wise Approach
• A one parameter representation for the Isgur-Wise function
• Bounds on the slope and curvature of Isgur-Wise function in a QCD inspired quark model
• On the bounds for the curvature and higher derivatives of the Isgur-Wise function