# Charmed pseudoscalar decay constants on three-flavour CLS ensembles with open boundaries

## TL;DR

This paper presents lattice QCD calculations of D and D_s meson masses and decay constants using CLS ensembles with open boundaries, exploring different lattice spacings and pion masses to improve continuum extrapolation accuracy.

## Contribution

It introduces a detailed analysis of charmed meson decay constants on open boundary CLS ensembles, including implementation of distance preconditioning for heavy quark propagators.

## Key findings

- Decay constants and masses for D and D_s mesons obtained at two lattice spacings.
- Implementation of distance preconditioning improved the accuracy of heavy quark propagator calculations.
- Ongoing efforts towards a stable continuum limit extrapolation.

## Abstract

We determine the masses and pseudoscalar decay constants of D and D_s mesons employing lattice QCD with non-perturbatively O(a) improved Wilson quarks and a tree-level Symanzik-improved gauge action. Our analysis is based on the large-volume N_f=2+1 ensembles using open boundary conditions, generated within the CLS effort. The status of results presented here covers two lattice spacings, a ~ 0.0854 fm and a ~ 0.0644 fm, and pion masses varied from 420 to 200 MeV. We also report on our implementation of distance preconditioning for the calculation of heavy quark propagators and discuss the impact of the resulting accuracy improvements on the extraction of charmed meson masses and decay constants. This is part of a continuing analysis by the RQCD and ALPHA Collaborations, aiming at a stable continuum extrapolation using several lattice spacings. To extrapolate to the physical masses, we follow both, the (2*m_l+m_s)=const. and the m_s=const. line in parameter space.