  We give a summary about the various contributions which have to be calculated
in order to obtain the next-to-leading logarithmic result for the branching
ratio $BR(B \to X_s \gamma)$. Combining all these ingredients, which were
obtained by different groups, a complete next-to-leading-logarithmic prediction
of the inclusive decay rate was recently presented in the literature. The
theoretical uncertainty in the partonic decay rate is now at the 10% level,
i.e., less than half of the error in the previous leading-logarithmic result.
We also mention the impact of non-perturbative corrections which scale like
$1/m_b^2$ and discuss in some more detail the recently discovered corrections
which scale like $1/m_c^2$. It turns out that the $1/m_b^2$- and the $1/m_c^2$
terms lead to corrections to the branching ratio $BR(B \to X_s \gamma)$ well
below the 10% level.
