2012
DOI: 10.1103/physrevd.86.094002
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Precision thrust cumulant moments atN3LL

Abstract: We consider cumulant moments (cumulants) of the thrust distribution using predictions of the full spectrum for thrust including O(α 3 s ) fixed order results, resummation of singular N 3 LL logarithmic contributions, and a class of leading power corrections in a renormalon-free scheme. From a global fit to the first thrust moment we extract the strong coupling and the leading power correction matrix element Ω1. We obtain αs(mZ) = 0.1140 ± (0.0004)exp ± (0.0013) hadr ± (0.0007)pert, where the 1-σ uncertainties … Show more

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Cited by 115 publications
(173 citation statements)
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“…For the transverse momentum of the vector boson and the related ϕ Ã distribution between the leptons, our default settings with α s ðM Z Þ ¼ 0.118 predict a somewhat harder spectrum. We observe a much better agreement with the data when using a lower value of the strong coupling constant α s ðM Z Þ ¼ 0.1135, as was obtained from fits of N 3 LL 0 resummed calculations of event shapes to LEP data [37][38][39][40]. The same was also observed for resummation observables in our e þ e − results in Ref.…”
Section: Introductionsupporting
confidence: 75%
See 1 more Smart Citation
“…For the transverse momentum of the vector boson and the related ϕ Ã distribution between the leptons, our default settings with α s ðM Z Þ ¼ 0.118 predict a somewhat harder spectrum. We observe a much better agreement with the data when using a lower value of the strong coupling constant α s ðM Z Þ ¼ 0.1135, as was obtained from fits of N 3 LL 0 resummed calculations of event shapes to LEP data [37][38][39][40]. The same was also observed for resummation observables in our e þ e − results in Ref.…”
Section: Introductionsupporting
confidence: 75%
“…For the latter results, we only change the α s ðM Z Þ value, holding all other parameters including the PDF set fixed. 3 This value is motivated by the fact that all α s ðM Z Þ determinations from LEP data that include higher-order resummation together with some form of analytic treatment of nonperturbative hadronization effects find considerably lower values of α s ðM Z Þ than 0.118 [37][38][39][40][94][95][96]; see also Ref. [97] for determinations from DIS.…”
Section: Comparison To Lhc Datamentioning
confidence: 99%
“…The higher-order resummation for 2-jet event shapes in e + e − collisions is very well understood and many precise measurements from LEP exist, which are used, for example, for precise determinations of the strong coupling constant α s [48][49][50][51][52][53][54].…”
Section: Application To E + E − Collisionsmentioning
confidence: 99%
“…Using SCET techniques, Refs. [81] incorporate explicitly the leading non-perturbative power corrections, which are also fitted to the data. They analyse the world data on thrust distributions at NNLO plus N 3 LL accuracy, including a sophisticated infrared renormalon subtraction, obtaining quite low values of the strong coupling.…”
Section: Jet Rates and Event Shapes In E + E − Annihilationmentioning
confidence: 99%