PoS - Proceedings of Science
Volume 316 - XXVI International Workshop on Deep-Inelastic Scattering and Related Subjects (DIS2018) - WG1: Structure Functions and Parton Densities
Towards the ${\mathrm{N^3LO}}$ evolution of parton distributions
T. Ueda
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Pre-published on: September 20, 2018
Published on: November 23, 2018
We present a brief status report on calculations for the four-loop splitting functions in perturbative QCD, which will pave the way to future determination of N$^3$LO parton distribution functions of hadrons. In the large-$N_c$ limit, the exact four-loop contribution to the flavour non-singlet splitting functions has been obtained. For the remaining large-$N_c$ suppressed terms, we provide approximate expressions that are sufficient for phenomenological applications.
DOI: https://doi.org/10.22323/1.316.0034
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