Quark mass textures andsin2β

Recent precise measurements of $\mathrm{sin}2\ensuremath{\beta}$ from the B factories (BABAR and BELLE) and a better known strange quark mass from lattice QCD make precision tests of predictive texture models possible. The models tested include those hierarchical N-zero textures classified by Ramond, Roberts, and Ross, as well as any other hierarchical matrix Ans\"atze with nonzero $12=21$ and vanishing 11 and 13 elements. We calculate the maximally allowed value for $\mathrm{sin}2\ensuremath{\beta}$ in these models and show that all the aforementioned models with vanishing 11 and 13 elements are ruled out at the $3\ensuremath{\sigma}$ level. While at present $\mathrm{sin}2\ensuremath{\beta}$ and $|{V}_{\mathrm{ub}}{/V}_{\mathrm{cb}}|$ are equally good for testing N-zero texture models, in the near future the former will surpass the latter in constraining power.