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In this paper we discuss the theoretical difficulties in extracting $V_{ub}$using the data from inclusive B decays. Specifically, we address the issue ofthe end point singularities. We perform the resummation of both the leading andnext to leading end point logs and include the leading corrections to the hardscattering amplitude. We find that the resummation is a $20\%-50\%$ effect inthe end point region where the resummation is valid. Furthermore, the resummedsub-leading logs dominate the resummed double logs. The consequences of thisresult for a model independent extraction of the mixing angle $V_{ub}$ areexplored.Comment: Published Version. Minor changes in discussion. 31 pages, 4 figure

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Extraction of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>V</mml:mi></mml:mrow><mml:mrow><mml:mi>ub</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>from inclusive<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi></mml:math>decays and the resummation of end point logarithms

Extraction ofVubfrom inclusiveBdecays and the resummation of end point logarithms