On measuring the kinetic energy of the heavy quark inside B mesons

I. Bigi; A. G. Grozin; M. Shifman; N. G. Uraltsev; A. Vainshtein

doi:10.1016/0370-2693(94)91149-5

On measuring the kinetic energy of the heavy quark inside B mesons

I. Bigi, A. G. Grozin, M. Shifman, N. G. Uraltsev, A. Vainshtein

Physics and Astronomy (Twin Cities)

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

34 Scopus citations

Abstract

We discuss how one can determine the average kinetic energy of the heavy qauark mesons from differential distributions in semileptonic B decays. A new, the so-called third, sum rule for the b→c transition is derived in the small velocity (SV) limit. Using this sum rule and the measured momentum dependence of the B→D^* transition (the slope of the Isgur-Wise function), we obtain a new lower bound on the parameter μ_π²=(2M_B)^-〈B|b(iD )²b|B〉 proportional to the average kinetic energy of the b quaek inside a B meson. Existing data suggest μ_{π² > 0.4 GeV} and (from the "optical" sum rule) Λ > 500 MeV, albeit with some numerical uncertainties.

Original language	English (US)
Pages (from-to)	160-166
Number of pages	7
Journal	Physics Letters B
Volume	339
Issue number	1-2
DOIs	https://doi.org/10.1016/0370-2693(94)91149-5
State	Published - Nov 10 1994

Bibliographical note

Funding Information:
We are grateful to L. Bellantoni, D. Cassel, Y. Kub-ota, R. Poling and J. Richman for useful discussions of the current experimental situation. A.G. would like to thank the CERN Theory Division for hospitality. This work was supported in part by the National Science Foundation under the grant number PHY 92-13313 and by DOE under the grant number DE-FG02-94ER40823, and by the Royal Society and PPARC, UK.

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title = "On measuring the kinetic energy of the heavy quark inside B mesons",

abstract = "We discuss how one can determine the average kinetic energy of the heavy qauark mesons from differential distributions in semileptonic B decays. A new, the so-called third, sum rule for the b→c transition is derived in the small velocity (SV) limit. Using this sum rule and the measured momentum dependence of the B→D* transition (the slope of the Isgur-Wise function), we obtain a new lower bound on the parameter μπ2=(2MB)-〈B|b(iD )2b|B〉 proportional to the average kinetic energy of the b quaek inside a B meson. Existing data suggest μπ2 > 0.4 GeV and (from the {"}optical{"} sum rule) Λ > 500 MeV, albeit with some numerical uncertainties.",

author = "I. Bigi and Grozin, {A. G.} and M. Shifman and Uraltsev, {N. G.} and A. Vainshtein",

note = "Funding Information: We are grateful to L. Bellantoni, D. Cassel, Y. Kub-ota, R. Poling and J. Richman for useful discussions of the current experimental situation. A.G. would like to thank the CERN Theory Division for hospitality. This work was supported in part by the National Science Foundation under the grant number PHY 92-13313 and by DOE under the grant number DE-FG02-94ER40823, and by the Royal Society and PPARC, UK.",

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T1 - On measuring the kinetic energy of the heavy quark inside B mesons

AU - Bigi, I.

AU - Grozin, A. G.

AU - Shifman, M.

AU - Uraltsev, N. G.

AU - Vainshtein, A.

N1 - Funding Information: We are grateful to L. Bellantoni, D. Cassel, Y. Kub-ota, R. Poling and J. Richman for useful discussions of the current experimental situation. A.G. would like to thank the CERN Theory Division for hospitality. This work was supported in part by the National Science Foundation under the grant number PHY 92-13313 and by DOE under the grant number DE-FG02-94ER40823, and by the Royal Society and PPARC, UK.

PY - 1994/11/10

Y1 - 1994/11/10

N2 - We discuss how one can determine the average kinetic energy of the heavy qauark mesons from differential distributions in semileptonic B decays. A new, the so-called third, sum rule for the b→c transition is derived in the small velocity (SV) limit. Using this sum rule and the measured momentum dependence of the B→D* transition (the slope of the Isgur-Wise function), we obtain a new lower bound on the parameter μπ2=(2MB)-〈B|b(iD )2b|B〉 proportional to the average kinetic energy of the b quaek inside a B meson. Existing data suggest μπ2 > 0.4 GeV and (from the "optical" sum rule) Λ > 500 MeV, albeit with some numerical uncertainties.

AB - We discuss how one can determine the average kinetic energy of the heavy qauark mesons from differential distributions in semileptonic B decays. A new, the so-called third, sum rule for the b→c transition is derived in the small velocity (SV) limit. Using this sum rule and the measured momentum dependence of the B→D* transition (the slope of the Isgur-Wise function), we obtain a new lower bound on the parameter μπ2=(2MB)-〈B|b(iD )2b|B〉 proportional to the average kinetic energy of the b quaek inside a B meson. Existing data suggest μπ2 > 0.4 GeV and (from the "optical" sum rule) Λ > 500 MeV, albeit with some numerical uncertainties.

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On measuring the kinetic energy of the heavy quark inside B mesons

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