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B --> K$*\gamma$ from hybrid sum rule

Using the {\it hybrid} moments-Laplace sum rule (HSR), which is well-defined for M_b \rar \infty, in contrast with the popular double Borel (Laplace) sum rule (DLSR), which blows up in this limit when applied to the heavy-to-light processes, we show that the form factor of the B \rar K^* \ \gamma ra...

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Autor principal: Narison, Stéphan
Lenguaje:eng
Publicado: 1994
Materias:
Acceso en línea:https://dx.doi.org/10.1016/0370-2693(94)90741-2
http://cds.cern.ch/record/260951
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author Narison, Stéphan
author_facet Narison, Stéphan
author_sort Narison, Stéphan
collection CERN
description Using the {\it hybrid} moments-Laplace sum rule (HSR), which is well-defined for M_b \rar \infty, in contrast with the popular double Borel (Laplace) sum rule (DLSR), which blows up in this limit when applied to the heavy-to-light processes, we show that the form factor of the B \rar K^* \ \gamma radiative transition is dominated by the light-quark condensate for M_b \rar \infty and behaves like \sqrt M_b. The form factor is found to be F^{B\rar K^*}_1(0) \simeq (30.8 \pm 1.3 \pm 3.6 \pm 0.6)\times 10^{-2}, where the errors come respectively from the procedure in the sum rule analysis, the errors in the input and in the SU(3)_f-breaking parameters. This result leads to Br(B\rar K^* \ \gamma) \simeq (4.45 \pm 1.12) \times 10^{-5} in agreement with the recent CLEO data. Parametrization of the M_b-dependence of the form factor including the SU(3)_f-breaking effects is given in (26), which leads to F^{B\rar K^*}_1(0)/ F^{B\rar \rho}_1(0) \simeq (1.14 \pm 0.02).
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publishDate 1994
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spelling cern-2609512019-09-30T06:29:59Zdoi:10.1016/0370-2693(94)90741-2http://cds.cern.ch/record/260951engNarison, StéphanB --> K$*\gamma$ from hybrid sum ruleParticle Physics - TheoryUsing the {\it hybrid} moments-Laplace sum rule (HSR), which is well-defined for M_b \rar \infty, in contrast with the popular double Borel (Laplace) sum rule (DLSR), which blows up in this limit when applied to the heavy-to-light processes, we show that the form factor of the B \rar K^* \ \gamma radiative transition is dominated by the light-quark condensate for M_b \rar \infty and behaves like \sqrt M_b. The form factor is found to be F^{B\rar K^*}_1(0) \simeq (30.8 \pm 1.3 \pm 3.6 \pm 0.6)\times 10^{-2}, where the errors come respectively from the procedure in the sum rule analysis, the errors in the input and in the SU(3)_f-breaking parameters. This result leads to Br(B\rar K^* \ \gamma) \simeq (4.45 \pm 1.12) \times 10^{-5} in agreement with the recent CLEO data. Parametrization of the M_b-dependence of the form factor including the SU(3)_f-breaking effects is given in (26), which leads to F^{B\rar K^*}_1(0)/ F^{B\rar \rho}_1(0) \simeq (1.14 \pm 0.02).hep-ph/9403370CERN-TH-7166-94PM-94-06oai:cds.cern.ch:2609511994-03-27
spellingShingle Particle Physics - Theory
Narison, Stéphan
B --> K$*\gamma$ from hybrid sum rule
title B --> K$*\gamma$ from hybrid sum rule
title_full B --> K$*\gamma$ from hybrid sum rule
title_fullStr B --> K$*\gamma$ from hybrid sum rule
title_full_unstemmed B --> K$*\gamma$ from hybrid sum rule
title_short B --> K$*\gamma$ from hybrid sum rule
title_sort b --> k$*\gamma$ from hybrid sum rule
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/0370-2693(94)90741-2
http://cds.cern.ch/record/260951
work_keys_str_mv AT narisonstephan bkgammafromhybridsumrule