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Abstract / Description of output
We have computed the evenN moments N ≤ 20 of the puresinglet quark splitting function Pps at the fourth order of perturbative QCD via the anomalous dimensions of offshell flavoursinglet operator matrix elements. Our results, derived analytically for a general gauge group, agree with all results
obtained for this function so far, in particular with the lowest six even moments obtained via physical cross sections. Using these results and all available endpoint constraints, we construct approximations for Pps at four loops that should be sufficient for most colliderphysics applications. Together with the known results for the nonsinglet splitting function P+ns at this order, this effectively completes the quarkquark contribution for the evolution of parton distribution at N3LO accuracy. Our new results thus provide a major step towards fully consistent N3LO calculations at the LHC and the reduction of the residual uncertainty in the parton evolution to the percent level.
obtained for this function so far, in particular with the lowest six even moments obtained via physical cross sections. Using these results and all available endpoint constraints, we construct approximations for Pps at four loops that should be sufficient for most colliderphysics applications. Together with the known results for the nonsinglet splitting function P+ns at this order, this effectively completes the quarkquark contribution for the evolution of parton distribution at N3LO accuracy. Our new results thus provide a major step towards fully consistent N3LO calculations at the LHC and the reduction of the residual uncertainty in the parton evolution to the percent level.
Original language  English 

Article number  137944 
Pages (fromto)  111 
Number of pages  11 
Journal  Physics Letters B 
Volume  842 
Early online date  11 May 2023 
DOIs  
Publication status  Published  10 Jul 2023 
Keywords / Materials (for Nontextual outputs)
 hepph
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Particle Theory at the Higgs Centre
Ball, R., Boyle, P., Del Debbio, L., Gardi, E., Horsley, R., Kennedy, A., O'Connell, D., Smillie, J. & Zwicky, R.
1/10/17 → 30/09/21
Project: Research