QCD corrections and the end point of the lepton spectrum in semileptonic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi></mml:math>decays

Abstract

Recently, Neubert has suggested that a certain class of nonperturbative corrections dominates the shape of the electron spectrum in the end point region of semileptonic $B$ decay. Perturbative QCD corrections are important in the end point region. We study the effects of these corrections on Neubert's proposal. A connection between the end point of the electron spectrum in semileptonic $B$ decay and the photon spectrum in $b\ensuremath{\rightarrow}s\ensuremath{\gamma}$ is outlined.