Large O(m-2c) nonperturbative corrections to the inclusive rate of the decay B → XSγ

M. B. Voloshin

doi:10.1016/S0370-2693(97)00173-1

Large O(m^-2_c) nonperturbative corrections to the inclusive rate of the decay B → X_Sγ

M. B. Voloshin

Physics and Astronomy (Twin Cities)

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126 Scopus citations

Abstract

It is shown that the inclusive rate of the rare weak radiative decays B B → X_sγ contains a series of nonperturbative corrections, whose 'short distance' scale is set by m^-1_c, rather than by m^-1_b. The first correction in this series is expressed through the chromomagnetic interaction of the b quark inside the B meson and the relative magnitude of the effect is determined by the ratio 〈B̄|b̄σ · Gb|B〉/m²_c. Though the magnitude of this first correction is suppressed by a numerical coefficient, the sensitivity of the decay rate to the distance scale m^-1_c may significantly limit the accuracy of purely perturbative predictions for the rate.

Original language	English (US)
Pages (from-to)	275-278
Number of pages	4
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	397
Issue number	3-4
DOIs	https://doi.org/10.1016/S0370-2693(97)00173-1
State	Published - Apr 3 1997

Bibliographical note

Funding Information:
I am thankful to Mikhail Shifman for useful discussions and to Mark Wise for pointing out a numerical error in an earlier version of this paper.T his work is supported, in part, by the DOE grant DE-AC02-83ER40105.

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title = "Large O(m-2c) nonperturbative corrections to the inclusive rate of the decay B → XSγ",

abstract = "It is shown that the inclusive rate of the rare weak radiative decays B B → Xsγ contains a series of nonperturbative corrections, whose 'short distance' scale is set by m-1c, rather than by m-1b. The first correction in this series is expressed through the chromomagnetic interaction of the b quark inside the B meson and the relative magnitude of the effect is determined by the ratio 〈{\=B}|{\=b}σ · Gb|B〉/m2c. Though the magnitude of this first correction is suppressed by a numerical coefficient, the sensitivity of the decay rate to the distance scale m-1c may significantly limit the accuracy of purely perturbative predictions for the rate.",

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AB - It is shown that the inclusive rate of the rare weak radiative decays B B → Xsγ contains a series of nonperturbative corrections, whose 'short distance' scale is set by m-1c, rather than by m-1b. The first correction in this series is expressed through the chromomagnetic interaction of the b quark inside the B meson and the relative magnitude of the effect is determined by the ratio 〈B̄|b̄σ · Gb|B〉/m2c. Though the magnitude of this first correction is suppressed by a numerical coefficient, the sensitivity of the decay rate to the distance scale m-1c may significantly limit the accuracy of purely perturbative predictions for the rate.

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