ExtractingVubwithout recourse to structure functions

We present a closed form expression for $|V_{\mathrm{ub}}{|}^2/|V_{\mathrm{tb}}{V}_{\mathrm{ts}}^{*}{|}^2$ in terms of the end point photon and lepton spectra from the inclusive decays $\overrightarrow{B}{X}_s\gamma$ and $\overrightarrow{B}{X}_u\mathcal{l}\nu ,$ respectively, which includes the resummation of the end point logarithms at next to leading order and is completely independent of the B meson structure function. The use of this expression for extracting $V_{\mathrm{ub}}$ would eliminate the large systematic errors usually incurred due to the modeling of the heavy quarks’ Fermi motion.