# Lattice analysis of semi-leptonic form factors

## TL;DR

This paper reports lattice QCD simulations analyzing semi-leptonic form factors, comparing results with experimental data and HQET, focusing on $Q^2$ dependence, quark mass extrapolation, and renormalization effects.

## Contribution

It provides preliminary lattice results for semi-leptonic form factors, including the Isgur-Wise function, and discusses their consistency with experimental data and theoretical models.

## Key findings

- Results are consistent with experimental data for D decays.
- Estimated Isgur-Wise function slope: $\xi'(w=1) = 0.97(6).
- Analysis of $Q^2$ behavior and renormalization dependence.

## Abstract

We present preliminary results from simulations done on 170 $32^3 \times 64$ lattices at $\beta = 6.0$ using quenched Wilson fermions. This talk focuses on the $Q^2$ behavior of the form-factors, extrapolation in quark masses, dependence on renormalization scheme, and comparison with heavy-quark effective theory (HQET). Even though we cannot estimate errors due to quenching and discretization, our results are consistent with experimental results for $D$ decays. We present results for the Isgur-Wise function and estimate $\xi'(w=1) = 0.97(6)$.