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A first glance to the kinematic moments of B → X$_c$ℓν at third order

Fael, Matteo 1; Schönwald, Kay 1; Steinhauser, Matthias 1
1 Institut für Theoretische Teilchenphysik (TTP), Karlsruher Institut für Technologie (KIT)

Abstract:

We study the impact of third-order QCD corrections for several kinematic moments of the inclusive semileptonic B decays, to first order in the 1/m$_b$ expansion. We consider the first four moments of the charged-lepton energy E$_ℓ$ spectrum, the total leptonic invariant mass q$^2$ and the hadronic invariant mass M$_X^2$. No experimental cuts are applied. Our analytic results are obtained via an asymptotic expansion around the limit m$_b$≃m$_c$. After converting the scheme for the bottom mass to the kinetic scheme we compare the size of higher QCD corrections to the contributions from $1/m_b^2$ and $1/m_b^3$ power corrections and to the relative uncertainties.


Volltext §
DOI: 10.5445/IR/1000149946
Veröffentlicht am 15.08.2022
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Zugehörige Institution(en) am KIT Institut für Theoretische Teilchenphysik (TTP)
Publikationstyp Forschungsbericht/Preprint
Publikationsdatum 06.05.2022
Sprache Englisch
Identifikator KITopen-ID: 1000149946
Umfang 36 S.
Nachgewiesen in arXiv
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