We report on the N3LO twist-2 matching of polarized TMDs along with all N3LO polarized DGLAP kernels. Various qt-observables such as SIDIS qt, lepton-jet TEEC and dijet-TEEC are obtained at N3LL accuracy. Work towards precision small-x physics is also addressed based on Liptov Reggeon Field Theory and Glauber SCET.
The four-loop DGLAP splitting functions are a key ingredient to control the scale evolution of the PDFs to N3LO accuracy in QCD. I present results for the first 10 moments of the four-loop splitting functions. I discuss the approximate N3LO PDF evolution, based on the computed moments and on the known information on the asymptotic limits of the splitting functions, and its relevance for LHC physics.
QCD calculations for collider physics make use of perturbative solutions of renormalisation group equations (RGEs). Ambiguities related to these solutions can contribute significantly to systematic uncertainties of theoretical predictions for physical observables.
We propose a general method to estimate these systematic effects using techniques inspired by soft-gluon and transverse-momentum...
We investigate the impact of recently computed N$^{3}$LO corrections to QCD splitting and DIS coefficient functions on global fits of Parton Distribution Functions (PDF) using the xFitter framework. By comparing fits performed at different perturbative orders, we analyze the modifications introduced to PDFs and their associated uncertainties, incorporating correlated experimental errors....
