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Universality of 1/Q corrections revisited
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We provide an exact analytical calculation at the two-loop level in the abelian limit of the leading power correction for the C parameter in e+e- annihilation. We compare our results to the numerical value obtained employing the soft approximation, the abelian part of the Milan factor. We demonstrate that a simple proportionality holds between the leading power corrections to the C parameter and to the longitudinal cross section in the soft region, and we verify that this proportionality holds for the full two-loop abelian contribution computed here. We comment on the possibility of extending this technique to other event shape variables and distributions, as well as to the non-abelian contributions.
Forward citations
Cited by 2 Pith papers
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Exploring soft anomalous dimensions for $1/Q$ power corrections
The leading logarithmic correction to the 1/Q power correction for thrust and C-parameter is computed, with a sizeable coefficient S1 ≈ 2.455 and a universal C-to-thrust ratio of 3π/2.
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Anomalous scaling of linear power corrections
For thrust, C-parameter, and energy correlators, the 1/Q hadronization correction is multiplied by R(Q) = (alpha_s(Q)/alpha_s(mu_np))^{C_A S_1/beta_0} with S_1 = 8(1-ln2), an all-order exponential derived under the li...
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