Abstract
We develop a next-to-leading-logarithmic parton shower in deep-inelastic scattering. The new model includes all kinds of next-to-leading-logarithmic corrections in the nonsinglet sector. It gives a definite scheme for QCD scale parameter Λ. Also it is possible to analyze final distributions of hadrons for obtaining\(\Lambda _{\overline {{\rm M}S} } \). In order to include the corrections, we extend the jet calculus to the space-like case. Then we calculate three-body functions for the spacelike decay. In addition to extensive analyses of the scale breaking of the structure function, we study the three-jet fractions using the cluster algorithm and the energy flow distributions.
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Kato, K., Munehisa, T. & Tanaka, H. Next-to-leading-logarithmic parton shower in deep-inelastic scattering. Z. Phys. C - Particles and Fields 54, 397–410 (1992). https://doi.org/10.1007/BF01559457
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DOI: https://doi.org/10.1007/BF01559457