Analytical examination of 1/Q power corrections and soft perturbative emissions in event shape variables, suggesting implications for phenomenology.
A bstract 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(αₛln Q/Λ)ⁿ 1 Q α s ln Q Λ 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 α s 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.
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Dasgupta et al. (2025) studied this question.
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