# Heavy-Light Matrix Elements with the Wilson Quark Action

## TL;DR

This study investigates heavy-light matrix elements using Wilson quark action, showing minimal variation in pseudoscalar decay constants across different lattice parameters for charm and bottom quarks, and reports on the B parameter.

## Contribution

It provides new lattice QCD results for heavy-light matrix elements with Wilson quarks at different lattice spacings, focusing on decay constants and B parameter.

## Key findings

- Pseudoscalar decay constant varies little across studied lattice parameters.
- Results indicate stability of decay constants in charm and bottom regions.
- B parameter results are consistent with previous estimates.

## Abstract

Status report is made of our quenched study of heavy-light matrix elements employing the Wilson quark action for heavy quark. Results obtained up to now with 200 configurations at $\beta=6.1$ on a $24^3\times64$ lattice and with 100 configurations at $\beta=6.3$ on a $32^3 \times80$ lattice suggest that the pseudoscalar decay constant varies little over this range of $\beta$ in both charm and bottom regions. Results for the $B$ parameter are also reported.