# Continuum Limit of the Heavy-Light Decay Constant with the Quenched Wilson Quark Action

## TL;DR

This paper investigates the continuum limit of the heavy-light meson decay constant using quenched Wilson quark action, addressing technical issues and demonstrating convergence across different methods.

## Contribution

It provides a detailed analysis of the continuum limit for the decay constant with quenched Wilson quarks, including resolution of technical problems and comparison of prescriptions.

## Key findings

- Continuum limit converges across different prescriptions.
- Technical issues in calculations are identified and addressed.
- Decay constant estimates are consistent after continuum extrapolation.

## Abstract

We explore the problems in calculating the decay constant for heavy-light mesons using the quenched Wilson quark action for both heavy and light quarks. We find that the continuum limit of the decay constant is reasonably converged among different prescriptions after the continuum limit is taken. A number of technical problems associated with prescriptions are also addressed.