# Masses and decay constants of the $D_{s0}^*(2317)$ and $D_{s1}(2460)$ from $N_f=2$ lattice QCD close to the physical point

## TL;DR

This study uses lattice QCD simulations with multiple ensembles to analyze the masses and decay constants of the $D_{s0}^*(2317)$ and $D_{s1}(2460)$ mesons, accounting for threshold effects and finite volume corrections.

## Contribution

It provides the first high-statistics lattice QCD determination of these mesons' properties near the physical point, including scattering parameters and decay constants, with detailed error analysis.

## Key findings

- Mass differences from experimental values likely due to discretisation effects.
- Decay constants are determined with quantified uncertainties.
- Scattering lengths and couplings to thresholds are extracted.

## Abstract

We perform a high statistics study of the $J^{P}=0^{+}$ and $1^{+}$ charmed-strange mesons, $D_{s0}^*(2317)$ and $D_{s1}(2460)$, respectively. The effects of the nearby $DK$ and $D^{*}K$ thresholds are taken into account by employing the corresponding four quark operators. Six ensembles with $N_f=2$ non-perturbatively ${\cal O}(a)$ improved clover Wilson sea quarks at $a=0.07$ fm are employed, covering different spatial volumes and pion masses: linear lattice extents $L/a=24,32,40,64$, equivalent to 1.7 fm to 4.5 fm, are realised for $m_{\pi}=290$ MeV and $L/a=48,64$ or 3.4 fm and 4.5 fm for an almost physical pion mass of $150$ MeV. Through a phase shift analysis and the effective range approximation we determine the scattering lengths, couplings to the thresholds and the infinite volume masses. Differences relative to the experimental values are observed for these masses, however, this is likely to be due to discretisation effects as spin-averaged quantities and splittings are reasonably compatible with experiment. We also compute the weak decay constants of the scalar and axialvector and find $f_V^{0^+}=114(2)(0)(+5)(10)$ MeV and $f_A^{1^+}=194(3)(4)(+5)(10)$ MeV, where the errors are due to statistics, renormalisation, finite volume and lattice spacing effects.