NNLO QCD corrections to the q^2 spectrum of inclusive semileptonic B-meson decays
Journal of High Energy Physics(2024)
Abstract
We calculate the next-to-next-to-leading order QCD corrections to the
leptonic invariant mass (q^2) spectrum of semileptonic b → c inclusive
decays, taking into account the mass of the charm quark and the charged lepton
in the final state. We obtain analytic results in terms of generalized
polylogarithms and present numerical studies of the 𝒪(α_s^2)
corrections to the q^2 spectrum of b → c ℓν̅_ℓ decays, for
ℓ =e, μ and τ, in the kinetic scheme. Our computation can be used
to incorporate the recent measurements of q^2 moments by Belle and Belle II
into global fits of inclusive semileptonic B-decays.
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Key words
Higher-Order Perturbative Calculations,Semi-Leptonic Decays,Bottom Quarks,CKM Parameters
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