2024/11/25 by Mrinal Dasgupta, Dasgupta, Mrinal, Farid Hounat +1 · 4 citations
Computer Science · Mathematics · #Cryptography and Residue Arithmetic #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Quantum Computing Algorithms and Architecture #Tensor decomposition and applications
paper · pdf · doi:10.48550/arxiv.2411.16867
openalex publication_date 2024/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article we study, via analytical methods, 1/Q non-perturbative power corrections to event shape mean values, addressing in particular the question of their interplay with soft perturbative emissions. Specifically we point out that energy-ordered soft perturbative emissions that precede a non-perturbative emission, give rise to terms of the form (1)/(Q) (αs ln \fracQΛ )n. While such terms are formally higher order in the strong coupling, their form suggests that they can numerically compete with the leading 1/Q term while also modifying the Q dependence of the result. The resummation of such power-suppressed but logarithmically enhanced terms lends an anomalous dimension to the leading 1/Q power correction. In order to argue for the presence of such an anomalous dimension, we formulate a method to compute the first order in αs correction for the mean values of the thrust 1-T and C-parameter observables. We comment on our findings in light of the standard picture of universality of 1/Q power corrections for event shape variables and implications for phenomenology.