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Rev. Mod. Phys. 68, 1125–1244 (1996)

Weak decays beyond leading logarithms

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Gerhard Buchalla*
Theoretical Physics Department, Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510

Andrzej J. Buras
Physik Department, Technische Universität München, D-85748 Garching, Germany and Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, Föhringer Ring 6, D-80805 München, Germany

Markus E. Lautenbacher
Physik Department, Technische Universität München, D-85748 Garching, Germany and Stanford Linear Accelerator Center Theory Group, Stanford University, P.O. Box 4349, Stanford, California 94309

Received 6 June 1996; published in the issue dated October - December 1996

We review the present status of QCD corrections to weak decays beyond the leading-logarithmic approximation, including particle-antiparticle mixing and rare and CP-violating decays. After presenting the basic formalism for these calculations we discuss in detail the effective Hamiltonians of all decays for which the next-to-leading-order corrections are known. Subsequently, we present the phenomenological implications of these calculations. The values of various parameters are updated, in particular the mass of the newly discovered top quark. One of the central issues in this review are the theoretical uncertainties related to renormalization-scale ambiguities, which are substantially reduced by including next-to-leading-order corrections. The impact of this theoretical improvement on the determination of the Cabibbo-Kobayashi-Maskawa matrix is then illustrated. [S0034-6861(96)00304-2]

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/RevModPhys.68.1125
DOI:
10.1103/RevModPhys.68.1125
PACS:

*Electronic address: buchalla@fnth20.fnal.gov

Electronic address: buras@feynman.t30.physik.tu-muenchen.de

Electronic address: lauten@feynman.t30.physik.tu-muenchen.de