Precision Model Independent Determination of|Vub|fromB→πlν

A precision method for determining $|V_{\mathrm{ub}}|$ using the full range in $q^2$ of $B\to \pi \ell \nu$ data is presented. At large $q^2$ the form factor is taken from unquenched lattice QCD, at $q^2=0$ we impose a model independent constraint obtained from $B\to \pi \pi$ using the soft-collinear effective theory, and the shape is constrained using QCD dispersion relations. We find $|V_{\mathrm{ub}}|=(3.54\pm 0.17\pm 0.44)\times {10}^{-3}$. With 5% experimental error and 12% theory error, this is competitive with inclusive methods. Theory error is dominated by the input points, with negligible uncertainty from the dispersion relations.