C. Greub

Improved model-independent analysis of semileptonic and radiative rare B decays

We update the branching ratios for the inclusive decays

Photon Energy Spectrum in B → Xs + γ and comparison with Data

\stackrel{\ensuremath{\rightarrow}}{B}{X}_{s}{l}^{+}{l}^{\ensuremath{-}}

Virtual corrections to the decay b → s + γ☆

and the exclusive decays

Inclusive photon energy spectrum in rareB decays

\stackrel{\ensuremath{\rightarrow}}{B}{(K,K}^{*}{)l}^{+}{l}^{\ensuremath{-}},

A Profile of the final states in B ---> X(s) gamma and an estimate of the branching ratio BR (B ---> K* gamma)

with

The c → uγ contribution to weak radiative charm decay

l=e, \ensuremath{\mu},

V{sub ub} from the hadron energy spectrum in inclusive semileptonic B decays

in the standard model by including the explicit

Contribution of b→sgg through the QCD anomaly in exclusive decays and

O({\ensuremath{\alpha}}_{s})

Contribution of b ---> s gluon gluon through the QCD anomaly in exclusive decays B+- ---> (eta-prime, eta) (K+-, K*+-) and B0 ---> (eta-prime, eta) (K0, K*0)

and

Virtual {ital O}({alpha}{sub {ital s}}) corrections to the inclusive decay {ital b}{r_arrow}{ital s}{gamma}

{\ensuremath{\Lambda}}_{\mathrm{QCD}}{/m}_{b}