SUBLEADING SHAPE FUNCTIONS IN B̄ → X s , d ` ` ∗
semanticscholar(2018)
Abstract
We analyse the resolved power corrections to the inclusive decays B̄ → Xs` +`− and also B̄ → Xd``. As a distinctive feature, the resolved contributions remain non-local when the hadronic mass cut is released. Therefore, they reflect an irreducible uncertainty not dependent on the hadronic mass cut. They factorize in hard functions describing physics at the high scale mb, in so-called jet functions characterizing the physics at the hadronic final state Xs which corresponds to an invariant mass of the order of √ mbΛQCD, and in soft functions, so-called shape functions, parametrizing the hadronic physics at the scale ΛQCD. Knowing the explicit form of the latter, one can derive general properties of such shape functions which allow for precise estimates of the corresponding uncertainties.
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