Effective lagrangian for b going to s processes with QCD corrections.

We present a complete calculation of the effective lagrangian for $b\to s$ processes with QCD corrections, in the leading logarithm approximation, for the cases $m\sb{t}=m\sb{w}$ and $m\sb{t}\gg m\sb{w}.$ The effective lagrangian is then applied to estimate the $b\to s\gamma$ decay rate. We find that it is enhanced by a factor of 6 for the case $m\sb{t}=m\sb{w},$ and a factor of about 2 for $m\sb{t}\gg m\sb{w}.$ Our results differ from those found in the literature, but are not very different numerically. We also present an exact two-loop calculation of the Wilson coefficients to order $g\sbsp{s}{2}$ in the limit $m\sb{t}\gg m\sb{w},$ which includes the next-to-leading corrections. The results for the leading logarithms are found to be in agreement with those obtained from the renormalization group analysis.PhDPhysicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.lib.umich.edu/bitstream/2027.42/103356/1/9319471.pdfDescription of 9319471.pdf : Restricted to UM users only