$\Upsilon\overline{B}B$ couplings, slope of the Isgur-Wise function and improved estimate of $V_{cb}$
We estimate the sum of the \Upsilon \bar BB couplings using QCD Spectral Sum Rules (QSSR). Our result implies the phenomenological bound \xi'(vv'=1) \geq -1.04 for the slope of the Isgur-Wise function. An analytic estimate of the (physical) slope to two loops within QSSR leads to the accur...
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Lenguaje: | eng |
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1994
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Acceso en línea: | https://dx.doi.org/10.1016/0370-2693(94)90092-2 http://cds.cern.ch/record/260252 |
_version_ | 1780886149267456000 |
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author | Narison, Stephan |
author_facet | Narison, Stephan |
author_sort | Narison, Stephan |
collection | CERN |
description | We estimate the sum of the \Upsilon \bar BB couplings using QCD Spectral Sum Rules (QSSR). Our result implies the phenomenological bound \xi'(vv'=1) \geq -1.04 for the slope of the Isgur-Wise function. An analytic estimate of the (physical) slope to two loops within QSSR leads to the accurate value \xi'(vv'=1) \simeq -(1.00 \pm 0.02) due to the (almost) complete cancellations between the perturbative and non-perturbative corrections at the stability points. Then, we deduce, from the present data, the improved estimate \vert V_{cb} \vert \simeq \ga 1.48 \mbox{ps}/\tau_B \dr ^{1/2}(37.3 \pm 1.2 \pm 1.4)\times 10^{-3} where the first error comes from the data analysis and the second one from the different model parametrizations of the Isgur-Wise function. |
id | cern-260252 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1994 |
record_format | invenio |
spelling | cern-2602522023-03-31T03:08:46Zdoi:10.1016/0370-2693(94)90092-2http://cds.cern.ch/record/260252engNarison, Stephan$\Upsilon\overline{B}B$ couplings, slope of the Isgur-Wise function and improved estimate of $V_{cb}$Particle Physics - PhenomenologyGeneral Theoretical PhysicsWe estimate the sum of the \Upsilon \bar BB couplings using QCD Spectral Sum Rules (QSSR). Our result implies the phenomenological bound \xi'(vv'=1) \geq -1.04 for the slope of the Isgur-Wise function. An analytic estimate of the (physical) slope to two loops within QSSR leads to the accurate value \xi'(vv'=1) \simeq -(1.00 \pm 0.02) due to the (almost) complete cancellations between the perturbative and non-perturbative corrections at the stability points. Then, we deduce, from the present data, the improved estimate \vert V_{cb} \vert \simeq \ga 1.48 \mbox{ps}/\tau_B \dr ^{1/2}(37.3 \pm 1.2 \pm 1.4)\times 10^{-3} where the first error comes from the data analysis and the second one from the different model parametrizations of the Isgur-Wise function.We estimate the sum of the $\Upsilon \bar BB $ couplings using QCD Spectral Sum Rules (QSSR). Our result implies the phenomenological bound $\xi'(vv'=1) \geq -1.04$ for the slope of the Isgur-Wise function. An analytic estimate of the (physical) slope to two loops within QSSR leads to the accurate value $\xi'(vv'=1) \simeq -(1.00 \pm 0.02)$ due to the (almost) complete cancellations between the perturbative and non-perturbative corrections at the stability points. Then, we deduce, from the present data, the improved estimate $\vert V_{cb} \vert \simeq \ga 1.48 \mbox{ps}/\tau_B \dr ~{1/2}(37.3 \pm 1.2 \pm 1.4)\times 10~{-3}$ where the first error comes from the data analysis and the second one from the different model parametrizations of the Isgur-Wise function.hep-ph/9403253CERN-TH-7103-93PM-93-45CERN-TH-7103-93PM-93-45oai:cds.cern.ch:2602521994-03-09 |
spellingShingle | Particle Physics - Phenomenology General Theoretical Physics Narison, Stephan $\Upsilon\overline{B}B$ couplings, slope of the Isgur-Wise function and improved estimate of $V_{cb}$ |
title | $\Upsilon\overline{B}B$ couplings, slope of the Isgur-Wise function and improved estimate of $V_{cb}$ |
title_full | $\Upsilon\overline{B}B$ couplings, slope of the Isgur-Wise function and improved estimate of $V_{cb}$ |
title_fullStr | $\Upsilon\overline{B}B$ couplings, slope of the Isgur-Wise function and improved estimate of $V_{cb}$ |
title_full_unstemmed | $\Upsilon\overline{B}B$ couplings, slope of the Isgur-Wise function and improved estimate of $V_{cb}$ |
title_short | $\Upsilon\overline{B}B$ couplings, slope of the Isgur-Wise function and improved estimate of $V_{cb}$ |
title_sort | $\upsilon\overline{b}b$ couplings, slope of the isgur-wise function and improved estimate of $v_{cb}$ |
topic | Particle Physics - Phenomenology General Theoretical Physics |
url | https://dx.doi.org/10.1016/0370-2693(94)90092-2 http://cds.cern.ch/record/260252 |
work_keys_str_mv | AT narisonstephan upsilonoverlinebbcouplingsslopeoftheisgurwisefunctionandimprovedestimateofvcb |