Four-loop splitting functions in QCD – The quark-to-gluon case

Falcioni, G.; Herzog, F.; Moch, S.; Pelloni, A.; Vogt, A.

doi:10.1016/j.physletb.2024.138906

Physics Letters B

2024

DOI: 10.1016/j.physletb.2024.138906

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Four-loop splitting functions in QCD – The quark-to-gluon case

G. Falcioni,

F. Herzog,

S. Moch

et al.

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Cited by 4 publications

References 53 publications

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Constraints for twist-two alien operators in QCD

Falcioni,

Herzog,

Moch

et al. 2024

J. High Energ. Phys.

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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.

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Constraints for twist-two alien operators in QCD

Falcioni,

Herzog,

Moch

et al. 2024

J. High Energ. Phys.

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Four-loop splitting functions in QCD – the gluon-gluon case –

Falcioni,

Herzog,

Moch

et al. 2025

Physics Letters B

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Scaling Violation in Power Corrections to Energy Correlators from the Light-Ray Operator Product Expansion

Chen,

Monni,

et al. 2024

Phys. Rev. Lett.

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In recent years, energy correlators have emerged as a powerful tool to explore the field theoretic structure of strong interactions at particle colliders. In this Letter we initiate a novel study of the nonperturbative power corrections to the projected N-point energy correlators in the limit where the angle between the detectors is small. Using the light-ray operator product expansion as a guiding principle, we derive the power corrections in terms of two nonperturbative quantities describing the fragmentation of quarks and gluons. In analogy with their perturbative leading-power counterpart, we show that power corrections obey a classical scaling behavior that is violated at the quantum level. This crucially results in a dependence on the hard scale Q of the problem that is calculable in perturbation theory. Our analytic predictions are successfully tested against Monte Carlo simulations for both lepton and hadron colliders, marking a significant step forward in the understanding of these observables. Published by the American Physical Society 2024

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Four-loop splitting functions in QCD – The quark-to-gluon case

Cited by 4 publications

References 53 publications

Constraints for twist-two alien operators in QCD

Constraints for twist-two alien operators in QCD

Four-loop splitting functions in QCD – the gluon-gluon case –

Scaling Violation in Power Corrections to Energy Correlators from the Light-Ray Operator Product Expansion

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