Virtual Corrections to the Decay b ® d

We calculate the O(cr,) virtual corrections to the matrix element for b + sy, taking into account the contributions of the four-Fermi operator 02 and the electromagnetic and color dipole-type operators.The results are combined with existing O(a,) B remsstrahlung corrections in order to obtain the relevant inclusive rate.The new result drastically reduces the large scale dependence of the leading logarithmic approximation.It implies that a very accurate prediction for the branching ratio for B -+ X,y will become possible once also the corrections to the Wilson coefficients are available.