Renormalization of $\Delta B=2$ Transitions in the Static Limit Beyond Leading Logarithms

Abstract

The renormalization group evolution of $\Delta B=2$ transition operators is studied at leading order in heavy quark effective theory and at next-to-leading order in QCD. We calculate new contributions that were not taken into account in previous work and obtain the complete result to next-to-leading logarithmic accuracy. The various scheme and scale dependences and their cancellation in physical quantities are discussed explicitly.

Comments: 6 pages, LaTeX, no figures