Determination of |Vcb| using N3LO perturbative corrections to Γ(B → Xcℓν) and 1S masses

We determine |Vcb| using the third-order perturbative series for the inclusive semileptonic B decay width and for the masses of the bottomonium 1S states. We use the masses of ηb(1S) and ϒ(1S) as short-distance masses and point out that there is a sizable difference of |Vcb| between the two 1S mass...

Full description

Bibliographic Details
Main Authors: Yuuki Hayashi, Yukinari Sumino, Hiromasa Takaura
Format: Article
Language:English
Published: Elsevier 2022-06-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269322002027
Description
Summary:We determine |Vcb| using the third-order perturbative series for the inclusive semileptonic B decay width and for the masses of the bottomonium 1S states. We use the masses of ηb(1S) and ϒ(1S) as short-distance masses and point out that there is a sizable difference of |Vcb| between the two 1S mass schemes. This is the dominant error of our determination and stems from insufficiency to describe theoretically the observed mass splitting of the bottomonium 1S states. We also study the significance of the O(ΛMS‾2) non-perturbative effects in HQET with respect to the current perturbative accuracy. Our result |Vcb|=0.0425(11) is consistent with the PDG value determined from the inclusive decays and has a slightly larger error.
ISSN:0370-2693