Extraction ofVubfrom inclusiveBdecays and the resummation of end point logarithms

In this paper we discuss the theoretical difficulties in extracting $V_{\mathrm{ub}}$ using the data from inclusive $B$ decays. Specifically, we address the issue of end point singularities. We perform the resummation of both the leading and next to leading end point logarithms and include the leading corrections to the hard scattering amplitude. We find that the resummation is a 20%-50% effect in the end point region where the resummation is valid. Furthermore, the resummed subleading logarithms dominate the resummed double logarithms. The consequences of this result for a model-independent extraction of the mixing angle $V_{\mathrm{ub}}$ are explored.