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Precise determination of α[subscript s] from the C-parameter distribution

Author(s)
Mateu Barreda, Vicent; Hoang, Andre H.; Kolodrubetz, Daniel Walter; Stewart, Iain
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Abstract
We present a global fit for α[subscript s](m[subscript Z]), analyzing the available C-parameter data measured at center-of-mass energies between Q = 35 and 207 GeV. The experimental data is compared to a N[superscript 3]LL′ + O(α[3 over s]) + Ω[subscript 1] theoretical prediction (up to the missing four-loop cusp anomalous dimension), which includes power corrections coming from a field-theoretical nonperturbative soft function. The dominant hadronic parameter is its first moment Ω[subscript 1], which is defined in a scheme which eliminates the O(Λ[subscript QCD]) renormalon ambiguity. The resummation region plays a dominant role in the C-parameter spectrum, and in this region a fit for α[subscript s](m[subscript Z]) and Ω[subscript 1] is sufficient. We find α[subscript s](m[subscript Z]) = 0.1123 ± 0.0015 and Ω[subscript 1] = 0.421 ± 0.063  GeV with χ[superscript 2]/d.o.f. = 0.988 for 404 bins of data. These results agree with the prediction of universality for Ω[subscript 1] between thrust and C-parameter within 1-σ.
Date issued
2015-05
URI
http://hdl.handle.net/1721.1/97017
Department
Massachusetts Institute of Technology. Center for Theoretical Physics; Massachusetts Institute of Technology. Department of Physics
Journal
Physical Review D
Publisher
American Physical Society
Citation
Hoang, Andre H., Daniel W. Kolodrubetz, Vicent Mateu, and Iain W. Stewart. “Precise Determination of α[subscript s] from the C-Parameter Distribution.” Phys. Rev. D 91, no. 9 (May 2015). © 2015 American Physical Society
Version: Final published version
ISSN
1550-7998
1550-2368

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