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Universality of 1/Q corrections to jet-shape observables rescued

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arxiv hep-ph/9707532 v2 pith:OXC6C6TR submitted 1997-07-31 hep-ph

classification hep-ph
keywords powercorrectionsfactoruniversaljet-shapelevelnon-inclusiveobservables
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We address the problem of potential non-universality of the leading 1/Q power corrections to jet shapes emerging from the non-inclusive character of these observables. We consider the thrust distribution as an example and analyse the non-inclusive contributions which emerge at the two-loop level. Although formally subleading in $\as$, they modify the existing na{\"\i}ve one-loop result for the expected magnitude of the power term by a factor of order unity. Such a promotion of a subleading correction into a numerical factor is natural since the non-perturbative power terms are explicitly proportional to powers of the QCD scale $\Lambda$ which can be fixed precisely only at the two-loop level. The ``jet-shape scaling factor'' depends on the observable but remains perturbatively calculable. Therefore it does not undermine the universal nature of 1/Q power corrections, which remain expressible in terms of the universal running coupling and universal soft-gluon emission.

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  1. Fits of $\alpha_s$ from event-shapes in the three-jet region: extension to all energies

    hep-ph 2025-01 conditional novelty 4.0 of 10

    The strong coupling at the Z mass is measured as 0.1181 from event-shape distributions using three-jet power corrections, with hadron-mass scheme ambiguity as the largest uncertainty.

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