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Threshold Resummed Spectra in B -> Xu l nu Decays in NLO (I)

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arxiv hep-ph/0507285 v3 pith:USKC3MMM submitted 2005-07-25 hep-ph

Ugo Aglietti , Giulia Ricciardi , Giancarlo Ferrera This is my paper · ORCID
classification hep-ph
keywords distributionenergyspectradecayshadronicresummedchargedcoefficient
verification ladder T0 review T1 audit T2 compute T3 formal
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We evaluate thresholds resummed spectra in B -> Xu l nu decays in next-to-leading order. We present results for the distribution in E_X and in m_X^2/E_X^2, for the distribution in E_X and E_l and for the distribution in E_X, where E_X and m_X are the energy and the invariant mass of the final hadronic state Xu respectively and E_l is the energy of the charged lepton. We explicitly show that all these spectra (where there is no integration over the hadronic energy) can be directly related to the photon spectrum in B -> Xs gamma via short-distance coefficient functions.

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    Laplace-space resummation of the thrust distribution at N4LL accuracy yields alpha_S(mZ^2) = 0.1181 +/- 0.0018, consistent with the world average, while physical-space resummation gives a lower value.

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