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QCD exhibits complex dynamics near S-wave two-body thresholds. For lightmesons, we see this in the failure of quark models to explain the $f_0(500)$and $K_0^*(700)$ masses. For charmonium, an unexpected $X(3872)$ state appearsat the open charm threshold. In heavy-light systems, analogous thresholdeffects appear for the lowest $J^P = 0^+$ and $1^+$ states in the $D_s$ and$B_s$ systems. Here we describe how lattice QCD can be used to understand thesethreshold dynamics by smoothly varying the strange-quark mass when studying theheavy-light systems. Small perturbations around the physical strange quark massare used so to always remain near the physical QCD dynamics. This calculationis a straightforward extension of those already in the literature and can beundertaken by multiple lattice QCD collaborations with minimal computationalcost.

Exploring S-Wave Threshold Effects in QCD: A Heavy-Light Approach