An improved theoretical prediction for the 2-jet rate in e+e− annihilation

Dissertori, G.; Schmelling, M.

doi:10.1016/0370-2693(95)01174-o

Cited by 45 publications

(36 citation statements)

References 27 publications

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“…This corresponds to what was calculated in [14], which contains the explicit NLL form for the result of the integration. The full NLL resummed prediction for the Durham y 3 can then be obtained from (2.8), with F y 3 (R ′ ) as shown in figure 3.…”

Section: Numerical Resultssupporting

confidence: 58%

“…The leading logs, and some subleading logs (those necessary for NLL accuracy in the exponentiated answer rather than the exponent) were calculated in [13]. The NL logs associated with the appropriate scheme choice for α s were given in [14]. However those coming from the non-trivial dependence on multiple emissions have yet to be calculated.…”

Section: Durham Three-jet Resolutionmentioning

confidence: 99%

“…Finally in section 4 we present new results for some widely studied variables in e + e − → 2 jets: for the thrust major and the oblateness for which no resummation had ever been performed up to now (and which are probably beyond analytical treatment) and for the Durham three-jet resolution parameter for which resummed results existed but not to full NLL order [13,14].…”

Section: Introductionmentioning

confidence: 99%

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Semi-numerical resummation of event shapes

Banfi

Salam

Zanderighi

2002

J. High Energy Phys.

162

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For many event-shape observables, the most difficult part of a resummation in the Born limit is the analytical treatment of the observable's dependence on multiple emissions, which is required at single logarithmic accuracy. We present a general numerical method, suitable for a large class of event shapes, which allows the resummation specifically of these single logarithms. It is applied to the case of the thrust major and the oblateness, which have so far defied analytical resummation and to the two-jet rate in the Durham algorithm, for which only a subset of the single logs had up to now been calculated.

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Section: Numerical Resultssupporting

confidence: 58%

Section: Durham Three-jet Resolutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Semi-numerical resummation of event shapes

Banfi

Salam

Zanderighi

2002

J. High Energy Phys.

162

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“…Theoretically, e + e − annihilation cross sections into two [17,18] and three [19][20][21] jets are known at next-to-next-to-leading order (NNLO) in perturbative QCD, the production of four jets is known at next-to-leading order (NLO) [22][23][24][25][26], while only leading order (LO) predictions were available so far for five-jet observables. Resummed results for jet rates have been also obtained [27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 98%

NLO QCD corrections to five-jet production at LEP and the extraction of α s (M Z )

Frederix

Frixione

Melnikov

et al. 2010

J. High Energ. Phys.

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Abstract:The highest exclusive jet multiplicity studied at LEP experiments is five. In this paper we compute the next-to-leading order QCD corrections to e + e − annihilation to five jets, essentially closing the (pure) perturbative QCD studies of exclusive jetty final states at LEP. We compare fixed-order perturbative results with ALEPH data. We estimate hadronization corrections to five-jet observables using the event generator SHERPA, which employs the CKKW procedure to combine a reliable perturbative treatment of highmultiplicity jet final states with parton showers. We show that a competitive value of the strong coupling constant α s (M Z ) = 0.1156 +0.0041 −0.0034 can be extracted from the distribution of the five-jet resolution parameter and the five-jet rate at LEP1 and LEP2.

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“…The colour decomposition of the g 1 and g 2 functions is given in Ref. [48]. The coefficient C 1 = −5/2 + π 2 /6 − 6 ln 2 is known exactly [49] and C 2 can be determined from numerical integration of the O(α 2 s ) matrix elements (see below).…”

Section: A Appendix: Theoretical Predictionsmentioning

confidence: 99%

A simultaneous measurement of the QCD colour factors and the strong coupling

Abbiendi¹,

Ainsley²,

Åkesson³

et al. 2001

Eur. Phys. J. C

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Using data from e + e − annihilation into hadrons, taken with the OPAL detector at LEP at the Z pole between 1991 and 1995, we performed a simultaneous measurement of the colour factors of the underlying gauge group of the strong interaction, C F and C A , and the strong coupling, α s . The measurement was carried out by fitting next-to-leading order perturbative predictions to measured angular correlations of 4-jet events together with multi-jet related variables. Our results, C A = 3.02 ± 0.25(stat.) ± 0.49(syst.) , C F = 1.34 ± 0.13(stat.) ± 0.22(syst.) , α s (M Z ) = 0.120 ± 0.011(stat.) ± 0.020(syst.) , provide a test of perturbative QCD in which the only assumptions are non-abelian gauge symmetry and standard hadronization models. The measurements are in agreement with SU(3) expectations for C F and C A and the world average of α s (M Z ).

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An improved theoretical prediction for the 2-jet rate in e+e− annihilation

Abstract: We show that an Ansatz to resum all leading and next{to{leading logarithms in the theoretical prediction for the 2{jet rate in e + e hadrons, where jets are dened with the k t {algorithm, is consistent with a full O( submitted to Phys.Lett.B

Cited by 45 publications

References 27 publications

Semi-numerical resummation of event shapes

Semi-numerical resummation of event shapes

NLO QCD corrections to five-jet production at LEP and the extraction of α s (M Z )

A simultaneous measurement of the QCD colour factors and the strong coupling

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