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

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arxiv hep-ph/9612483 v2 pith:6GOLGCY6 submitted 1996-12-29 hep-ph

classification hep-ph
keywords ratecorrectioncorrectionsdecaydistancefirstgammainclusive
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Renormalisation group evolution of the shape function $g_{17}$ in $\bar{B}\to X_s \gamma$ and $\bar{B} \to X_s \ell^+\ell^-$ at subleading power

    hep-ph 2024-11 conditional novelty 7.0 of 10

    The authors derive and solve the renormalization-group equation for the subleading shape function g17(ω,ω1;μ) in inclusive B decays, and simplify the RG evolution of a related exclusive soft function.

  2. QED Corrections to $B^-\to\tau^-\bar{\nu}_\tau$

    hep-ph 2026-07 conditional novelty 6.0 of 10

    The B−→τ−ν̄τ rate with real and virtual QED corrections is derived to O(α) with resummed logarithmic corrections in a two-heavy-fermion EFT: percent-level effects, mild photon-veto dependence, and a structure-dependen...

  3. Update of the nonlocal sub-leading ${O}_1$-${O}_7$ contribution to $\bar B \to X_s \gamma$ at LO

    hep-ph 2025-12 unverdicted novelty 4.0 of 10

    Updated leading-order calculation of the complete non-local O1-O7 contribution to inclusive B-bar to Xs gamma decay, incorporating correlations with the local Voloshin term and revising its range.

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