Asymptotic freedom in deep inelastic processes in the leading order and beyond
TL;DR: In this article, the present status of quantum chromodynamics formalism for inclusive deep-inelastic scattering is reviewed and higher-order asymptotic freedom corrections are discussed in detail.
Abstract: The present status of quantum chromodynamics formalism for inclusive deep-inelastic scattering is reviewed. Leading-order and higher-order asymptotic freedom corrections are discussed in detail. Both the formal language of operator product expansion and renormalization group and the intuitive parton model picture are used. Systematic comparison of asymptotic freedom predictions with deep-inelastic data is presented. Extensions of asymptotic freedom ideas to other processes such as massive ..mu..-pair production, semi-inclusive deep-inelastic scattering, e/sup +/e/sup -/ annihilation, and photon--photon scattering are briefly discussed. The importance of higher-order corrections is emphasized.
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TL;DR: In this paper, the authors review the present status of QCD corrections to weak decays beyond the leading-logarithmic approximation, including particle-antiparticle mixing and rare and $\mathrm{CP}$-violating decays.
Abstract: We review the present status of QCD corrections to weak decays beyond the leading-logarithmic approximation, including particle-antiparticle mixing and rare and $\mathrm{CP}$-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]
2,277 citations
Cites background from "Asymptotic freedom in deep inelasti..."
...With the next-to-leading short-distance effects 3 included, weak decays have in a sense now achieved the status that the conceptually similar field of deep inelastic lepton nucleon scattering had attained more then a decade ago (Buras, 1980)....
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