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

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Abstract

We calculate the O($\alpha_s$) gluon Bremsstrahlung corrections to the inclusive decay $b \rightarrow s \gamma$, 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.

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Deep-inelastic scattering beyond the leading order in asymptotically free gauge theories

William A. Bardeen, A. J. Buras, D W Duke … (1978)

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

Adam F. Falk, Michael Luke, Martin J. Savage (1993)

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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On the Motion of Heavy Quarks inside Hadrons: Universal Distributions and Inclusive Decays

N. G. Uraltsev, A. Vainshtein, M A Shifman … (1993)

In previous papers we have pointed out that there exists a QCD analog of the phenomenological concept of the so called Fermi motion for the heavy quark inside a hadron. Here we show in a more detailed way how this comes about and we analyze the limitations of this concept. Non-perturbative as well as perturbative aspects are included. We emphasize both the similarities and the differences to the well-known treatment of deep inelastic lepton-nucleon scattering. We derive a model-independent {\em lower} bound on the kinetic energy of the heavy quark inside the hadron.

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Publication date Created: 07 December 1995

Publication date Updated: 1996-06-28

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DOI: 10.1103/PhysRevD.54.938

ArXiV ID: hep-ph/9512252

SO-VID: cf122a3f-97f1-483d-8759-534734fa0edc

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Report No TUM-T31-93/95

Journal reference Phys.Rev. D54 (1996) 938-948

Comments 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

Bremsstrahlung corrections to the decay \(b \to s \gamma\)

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Most cited references 5

Deep-inelastic scattering beyond the leading order in asymptotically free gauge theories

Nonperturbative Contributions to the Inclusive Rare Decays \(B\to X_s\gamma\) and \(B\to X_s\ell^+\ell^-\)

On the Motion of Heavy Quarks inside Hadrons: Universal Distributions and Inclusive Decays

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