CKM matrix element Vcb in a QCD Potential model

TL;DR

This paper investigates the Isgur Wise function's properties for heavy-light mesons within a QCD potential model, and uses it to estimate the CKM matrix element Vcb, aligning with experimental data.

Contribution

It introduces a method to compute the Isgur Wise function and Vcb in a QCD potential framework, providing new theoretical insights and numerical estimates.

Findings

Calculated Vcb value of 0.040 agrees with experimental data

Derived slope and curvature of Isgur Wise function for B mesons

Predicted decay widths and branching ratios for semileptonic B decays

Abstract

We study the slope $\rho^{2}$ and curvature $C$ of Isgur Wise function for the heavy-light mesons in general with particular emphasis on $B$ meson in a QCD Potential model. The IW function is then used to compute the partial decay width and branching ratio for the semileptonic decay of $\left(B^{0}\rightarrow{D,D^{*}l\nu}\right)$. The computed value of the CKM element $|V_{cb}|=0.040$ is found to be in agreement with the available data.