C-Parameter Distribution at N[superscript 3]LL′ Including Power Corrections
Name
PhysRevD.91.094017.pdf
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1.8 MB
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Author(s)
Mateu Barreda, Vicent
Hoang, Andre H.
Kolodrubetz, Daniel Walter
Stewart, Iain
Date Issued
May 2015
Journal
Physical Review D
Publisher
American Physical Society
Citation
Hoang, Andre H., Daniel W. Kolodrubetz, Vicent Mateu, and Iain W. Stewart. “C-Parameter Distribution at N[superscript 3]LL′ Including Power Corrections.” Phys. Rev. D 91, no. 9 (May 2015). © 2015 American Physical Society
Version
Final published version
Abstract
We compute the e[superscript +]e[superscript -] C-parameter distribution using the soft-collinear effective theory with a resummation to next-to-next-to-next-to-leading-log prime accuracy of the most singular partonic terms. This includes the known fixed-order QCD results up to O(α[3 over s]), a numerical determination of the two-loop nonlogarithmic term of the soft function, and all logarithmic terms in the jet and soft functions up to three loops. Our result holds for C in the peak, tail, and far tail regions. Additionally, we treat hadronization effects using a field theoretic nonperturbative soft function, with moments Ω[subscript n]. To eliminate an O(Λ[subscript QCD]) renormalon ambiguity in the soft function, we switch from the [bar over MS] to a short distance “Rgap” scheme to define the leading power correction parameter Ω[subscript 1]. We show how to simultaneously account for running effects in Ω[subscript 1] due to renormalon subtractions and hadron-mass effects, enabling power correction universality between C-parameter and thrust to be tested in our setup. We discuss in detail the impact of resummation and renormalon subtractions on the convergence. In the relevant fit region for α[subscript s](m[subscript Z]) and Ω[subscript 1], the perturbative uncertainty in our cross section is ≃ 2.5% at Q = m[subscript Z].
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.91.094017
