Computing the Slope of the Isgur-Wise Function

TL;DR

This paper introduces a lattice simulation method to evaluate the slope of the Isgur-Wise function at zero recoil, aiding in precise extraction of the CKM matrix element V_{cb} from B to D* decays.

Contribution

It presents a novel lattice-based approach to compute derivatives of the Isgur-Wise function, crucial for experimental data extrapolation in flavor physics.

Findings

Method successfully computes the slope at zero recoil.

Enables more accurate determination of V_{cb}.

Provides a framework for higher derivatives evaluation.

Abstract

We propose a method for evaluating the slope (and higher derivatives) of the Isgur-Wise function at the zero recoil point using lattice simulations. These derivatives are required for the extrapolation of the experimental data for $B\rightarrow D^*l\bar\nu$ decays to the zero recoil point, from which the $V_{cb}$ element of the CKM-matrix can be determined.