Abstract
In the framework of asymptotic free (AF) field theories (mainly \(\phi _6^3\))we expose by simple examples the arbitrariness of perturbative parton cross sections due to the ultraviolet (UV), mass (M) and the infrared (IR) divergences and their regularisation. Establishing a one-to-one correspondence between the renormalization group (RG) approach and the Feynman diagram calculations we gain insight into the importance of M-factorization to arrive at unique AF-predictions. We give details of the parton cross sections for deep-inelastic (DI) scattering and Drell-Yan (DY) massive lepton-pair production.
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Humpert, B., van Neerven, W.L. (1980). Arbitrary Parton Cross-Sections — Unique Asymptotic Freedom Predictions. In: Rühl, W. (eds) Field Theoretical Methods in Particle Physics. NATO Advanced Study Institutes Series, vol 55. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-3722-5_20
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DOI: https://doi.org/10.1007/978-1-4684-3722-5_20
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