Isgur-Wise Function and $V_{cb}$ from Bethe-Salpeter Equations

Details Isgur-Wise Function and $V_{cb}$ from Bethe-Salpeter Equations Isgur-Wise Function and $V_{cb}$ from Bethe-Salpeter Equations

1994-12-14

arxiv.org/abs/hep-ph/9412293v1

Phys.Rev.D51:5245-5250,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 Pages, 6 Postscript figures (appended at the end with instructions, available also from gupta@iastate.edu)

Scientific paper

10.1103/PhysRevD.51.5245

We calculate the Isgur-Wise function from the solutions of the Bethe-Salpeter equations. The shape of the Isgur-Wise function thus calculated is a prediction of the Bethe-Salpeter equations and does not depend on undetermined parameters. We develop an analytical approximation to our Isgur-Wise function in the form $\xi ( \omega) = \eta [ 1 - \frac{{\rho^2}}{\eta} (\omega - 1) + a (\omega - 1)^{3/2}]$ where $\rho^2 = 1.279$, $a = .91$, $\eta = .9942$ and $\omega$ is the recoil velocity. The Isgur-Wise function is then used to obtain $V_{cb}$ from the recent experimental data of ${\bar B} \to D^* \ell \bar\nu$ decay. Our best estimate of $V_{cb}$ is $(34.7 \pm 2.5) \times 10^{-3}$, which is comparable to some of the latest estimates in the literature.

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