Speaker
Takahiro Ueda
Description
We present a status report on calculations for the four-loop splitting
functions in perturbative QCD, which will pave the way to future
determination of ${\rm N^3LO}$ parton distribution functions of hadrons.
In the large-Nc limit, the exact four-loop contribution to the flavour
non-singlet splitting functions has been obtained. For the remaining
large-Nc suppressed terms, we provide approximate expressions that are
sufficient for phenomenological applications. The status of the
calculations in the flavour-singlet sector will be also briefly
discussed.
