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arXiv · 2507.18696

Anomalous scaling of linear power corrections

Casey Farren-Colloty·Jack Helliwell·Rtvik Patel·Gavin P. Salam·Silvia Zanoli
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Abstract

Non-perturbative corrections to hadronic observables represent a critical obstacle to increasing accuracy at colliders. Long taken to scale simply as $1/Q$, where $Q$ is the centre-of-mass scattering energy, recent work has opened the path towards calculating the anomalous dimension that modifies that scaling. A priori, the problem is complex, requiring a resummation involving arbitrary numbers of large-angle and low-energy gluons. Within a specific framework for kinematic recoil, we show that it reduces to a simple exponential for key observables like the thrust, $C$-parameter and energy correlators. This simplicity holds for a specific hadron mass scheme, and also even beyond the two-jet limit.

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Casey Farren-Colloty, Jack Helliwell, Rtvik Patel, Gavin P. Salam, Silvia Zanoli. 2025-07-24. Anomalous scaling of linear power corrections. https://doi.org/10.1103/63g5-tl5b

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