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Small changes in the masses of massive external scattering states shouldcorrespond to small changes in the non-perturbative parameterization of formfactors in quantum field theory, as long as the relevant energy range is notnear strong deformations. Here, the definition of ``small'' is investigated andapplied to $SU(3)$ breaking in semileptonic $B_{(s)}\rightarrow D_{(s)}$transitions. When unitarity and analyticity are imposed, the differences in theform factors for semileptonic $B\rightarrow D$ versus $B_s\rightarrow D_s$decays are found to be within $\mathcal{O}(1\%)$ over the entire kinematicrange, not just at zero recoil, which is consistent with results from latticecalculations and differs from the expectation using HQET alone.

Continuity and Semileptonic $B_{(s)}\rightarrow D_{(s)}$ Form Factors