$O(m_c^{-2})$ nonperturbative corrections to the inclusive rate of the decay $B \to X_s γ$

Details $O(m_c^{-2})$ nonperturbative corrections to the inclusive rate of the decay $B \to X_s γ$ $O(m_c^{-2})$ nonperturbative corrections to the inclusive rate of the decay $B \to X_s γ$

1996-12-29

arxiv.org/abs/hep-ph/9612483v2

Phys.Lett. B397 (1997) 275-278

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, LaTeX. Numerical error corrected. As a result the emphasis of the paper is modified

Scientific paper

10.1016/S0370-2693(97)00173-1

It is shown that the inclusive rate of the rare weak radiative decays $B \to X_s \gamma$ contains a series of nonperturbative corrections, whose `short distance' scale is set by $m_c^{-1}$, rather than by $m_b^{- 1}$. 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 $< {\overline B} | \bar b \sigma \cdot G b | B > / m_c^2$. Though the magnitude of this first correction is suppressed by a numerical coefficient, the sensitivity of the decay rate to the distance scale $m_c^{-1}$ may significantly limit the accuracy of purely perturbative predictions for the rate.

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