Bremsstrahlung corrections to the decay $b\to s\gamma$

Abstract

We calculate the O(${\alpha }_s$) gluon Bremsstrahlung corrections to the inclusive decay $b\to s\gamma$, involving the full operator basis ${\hat{O}}_1$ -- ${\hat{O}}_8$. Confirming and extending earlier calculations of Ali and Greub, we give formulas for the total decay width as well as the perturbative photon spectrum, regarding the former as a necessary part of the forthcoming complete NLO analysis. We explore in detail the renormalization scale dependence of our results and find it considerably increased.

23 pages, LaTeX, uses epsf.sty and rotate.sty. 4 figures (uuencoded postscript) appended as seperate file. A complete postscript version may be obtained from URL ftp://feynman.t30.physik.tu-muenchen.de/pub/preprints/tum-93-95.ps.gz Final version as to appear in Physical Review D. Some minor errors corrected, without changes in the numerical results. One reference added

References in corpus (5)

• Photon Energy Spectrum in $B\to X_s\gamma$ and Comparison with Data
• Moments of the photon spectrum in the inclusive $B\to X_s\gamma$ decay
• b -> s +γ: A QCD Consistent Analysis of the Photon Energy Distribution
• Leading logarithms of the $b$ quark mass in inclusive $B\to X_s\gamma$ decay
• Rare B Decays in the Standard Model

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