Model independent extractions of |Vub| from inclusive B decays

Ian Low

doi:10.1142/S0217751X01007698

Model independent extractions of |V_ub| from inclusive B decays

Ian Low^*

^*Corresponding author for this work

Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

We discuss the possibility of extracting |V_ub| from various spectra of inclusive B decays, without large systematic errors which usually arise from having to model the Fermi motion of the heavy quark. This strategy can be applied to the electron energy spectrum, as well as the hadronic mass spectrum. Modulo violation of local hadron-parton duality, the theoretical error in the extraction is estimated to be less than 10%.

Original language	English (US)
Pages (from-to)	645-647
Number of pages	3
Journal	International Journal of Modern Physics A
Volume	16
Issue number	SUPPL. 1B
DOIs	https://doi.org/10.1142/S0217751X01007698
State	Published - 2001

Funding

raw ~U &**(**;«.)* where the kernel K(x7; a8) can be computed perturbatively. Corrections to this are 0(A/ra&,as(l — p), (1 — p)3). These corrections are of order 10% in |VU&|2. However, this assumes that parton-hadron duality works well. In fact, the endpoint region of the electron energy spectrum contains only about 10% of the total rate, whereas the low SH region of the hadronic invariant mass spectrum contains 40-80% of the total rate. One therefore expects that parton-hadron duality works better in this case. A similar strategy to extract \VUb\ can be applied.10 The leptonic invariant mass spectrum might be a theoretically clean method3, but the cut contains only 20% of the total rate. In the end it is clear that no single extraction of \VUb\ from inclusive decays should be trusted. We would have faith only after convergence among several independent extractions. Comparision among different extractions would also shed some light on the validity of parton-hadron duality. Acknowledgements: I would like to thank Adam Leibovich and Ira Rothstein for collaboration on this topic and Mike Luke and Matthias Neubert for helpful comments. This work was supported in part by the Department of Energy under grant number DOE-ER-4068-143.

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics
Astronomy and Astrophysics

Access to Document

10.1142/S0217751X01007698

Cite this

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title = "Model independent extractions of |Vub| from inclusive B decays",

abstract = "We discuss the possibility of extracting |Vub| from various spectra of inclusive B decays, without large systematic errors which usually arise from having to model the Fermi motion of the heavy quark. This strategy can be applied to the electron energy spectrum, as well as the hadronic mass spectrum. Modulo violation of local hadron-parton duality, the theoretical error in the extraction is estimated to be less than 10\%.",

author = "Ian Low",

note = "Funding Information: raw \textasciitilde{}U \&**(**;«.)* where the kernel K(x7; a8) can be computed perturbatively. Corrections to this are 0(A/ra\&,as(l — p), (1 — p)3). These corrections are of order 10\% in |VU\&|2. However, this assumes that parton-hadron duality works well. In fact, the endpoint region of the electron energy spectrum contains only about 10\% of the total rate, whereas the low SH region of the hadronic invariant mass spectrum contains 40-80\% of the total rate. One therefore expects that parton-hadron duality works better in this case. A similar strategy to extract \textbackslash{}VUb\textbackslash{} can be applied.10 The leptonic invariant mass spectrum might be a theoretically clean method3, but the cut contains only 20\% of the total rate. In the end it is clear that no single extraction of \textbackslash{}VUb\textbackslash{} from inclusive decays should be trusted. We would have faith only after convergence among several independent extractions. Comparision among different extractions would also shed some light on the validity of parton-hadron duality. Acknowledgements: I would like to thank Adam Leibovich and Ira Rothstein for collaboration on this topic and Mike Luke and Matthias Neubert for helpful comments. This work was supported in part by the Department of Energy under grant number DOE-ER-4068-143.",

year = "2001",

doi = "10.1142/S0217751X01007698",

language = "English (US)",

volume = "16",

pages = "645--647",

journal = "International Journal of Modern Physics A",

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