Nonperturbative Contributions to the Inclusive Rare Decays $B\to X_sγ$ and $B\to X_s\ell^+\ell^-$

Details Nonperturbative Contributions to the Inclusive Rare Decays $B\to X_sγ$ and $B\to X_s\ell^+\ell^-$ Nonperturbative Contributions to the Inclusive Rare Decays $B\to X_sγ$ and $B\to X_s\ell^+\ell^-$

1993-08-18

arxiv.org/abs/hep-ph/9308288v1

Phys.Rev. D49 (1994) 3367-3378

Physics

High Energy Physics

High Energy Physics - Phenomenology

25 pages, 2 figures available upon request, uses harvmac.tex, SLAC-PUB-6317, UCSD/PTH 93-23, JHU-TIPAC-930020, UTPT 93-19, CMU

Scientific paper

10.1103/PhysRevD.49.3367

We discuss nonperturbative contributions to the inclusive rare $B$ decays $B\to X_s\gamma$ and $B\to X_s\ell^+\ell^-$. We employ an operator product expansion and the heavy quark effective theory to compute the leading corrections to the decay rate found in the free quark decay model, which is exact in the limit $m_b\to\infty$. These corrections are of relative order $1/m_b^2$, and may be parameterised in terms of two low-energy parameters. We also discuss the corrections to other observables, such as the average photon energy in $B\to X_s\gamma$ and the lepton invariant mass spectrum in $B\to X_s\ell^+\ell^-$.

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