6–11 Jul 2025
PALAIS DU PHARO, Marseille, France
Europe/Paris timezone

Alien operators for PDF evolution

8 Jul 2025, 08:30
20m
PALAIS DU PHARO, Marseille, France

PALAIS DU PHARO, Marseille, France

Parallel T10 - Quantum Field and String Theory T10

Speaker

Dr Sam Van Thurenhout (HUN-REN Wigner RCP)

Description

Understanding the scale dependence of parton distribution functions is vital for precision physics at hadron colliders. The well-known DGLAP evolution equation relates this scale dependence to the QCD splitting functions, which can be calculated perturbatively in terms of the anomalous dimensions of leading-twist gauge-invariant operators. The computation of the latter in general requires one to take into account contributions of gauge-variant (or alien) operators. In this talk, we discuss the systematic study of these alien operators at arbitrary spin. Specifically, using generalized BRST symmetry relations, we derive the one-loop couplings and Feynman rules of the aliens necessary to perform the operator renormalization up to four loops in QCD. This provides an important step towards the determination of the four-loop splitting functions which will be of significant phenomenological importance at future colliders.

Secondary track T10 - Quantum Field and String Theory

Author

Dr Sam Van Thurenhout (HUN-REN Wigner RCP)

Co-authors

Dr Franz Herzog Giulio Falcioni (Università di Torino and Universität Zürich) Prof. Sven-Olaf Moch (UHH)

Presentation materials

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