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Constraints for twist-two alien operators in QCD
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abstract
Parton evolution equations in QCD are controlled by the anomalous dimensions of gauge-invariant twist-two spin-$N$ quark and gluon operators. Under renormalization, these mix with gauge-variant operators of the same quantum numbers, referred to as alien operators. Our work addresses the systematic study of these alien operators at arbitrary spin $N$, using generalized BRST symmetry relations to derive their couplings and Feynman rules at all values of $N$. We observe how the all-$N$ structure of the generalized (anti-)BRST constraints relates the couplings of alien operators with $n+1$ gluons to those with $n$ gluons. Realizing a bootstrap, we present all one-loop results necessary for performing the operator renormalization up to four loops in QCD.
Forward citations
Cited by 2 Pith papers
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A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis
From a global QCD-QED parton fit with NNPDF4.0 methodology, the authors determine alpha_s(m_Z)=0.1194^{+0.0007}_{-0.0014}, consistent with the PDG average and recent lattice results.
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Alien operators for PDF evolution
This proceedings paper summarizes earlier results on all-spin couplings and Feynman rules for gauge-variant alien operators needed for four-loop QCD splitting functions.
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