Jet algorithms in electron–positron annihilation: perturbative higher order predictions

Abstract

This article gives results on several jet algorithms in electron-positron annihilation: Considered are the exclusive sequential recombination algorithms Durham, Geneva, Jade-E0 and Cambridge, which are typically used in electron-positron annihilation. In addition also inclusive jet algorithms are studied. Results are provided for the inclusive sequential recombination algorithms Durham, Aachen and anti-k t , as well as the infrared-safe cone algorithm SISCone. The results are obtained in perturbative QCD and are N 3 LO for the two-jet rates, NNLO for the three-jet rates, NLO for the four-jet rates and LO for the five-jet rates.

The SM and NLO Multileg and SM MC Working Groups: Summary Report

“…Fig. 5 shows the comparison of our numerical approach with the well-known results for two, three and four jets [179,180,181]. We observe an excellent agreement.…”

Three-Jet Production in Electron-Positron Collisions at Next-to-Next-to-Leading Order Accuracy

“…As the predictions published in Ref. [7] are affected by an issue with the generation of phase space in the code used to compute those results [20], we make comparisons to updated but unpublished results provided to us by S. Weinzierl. We observe statistically significant differences beyond the kinematical limits (τ ¼ 1=3 and C par ¼ 3=4) where the three-particle final states vanish and the event shapes are determined by a four-jet final state.…”

Antenna subtraction at NNLO with hadronic initial states: double real initial-initial configurations

“…The antenna functions are derived systematically from physical matrix elements [47][48][49]. This formalism has been applied in the derivation of NNLO corrections to three-jet production in electron-positron annihilation [50][51][52][53][54] and related event shapes [55][56][57][58][59], which were used subsequently in precision determinations of the strong coupling constant [60][61][62][63][64][65][66][67][68][69][70]. The formalism can be extended to include massive fermions [71][72][73][74].…”

“…Case (e) can always be described [81] by soft antenna functions in final-final kinematics, that were derived in [50][51][52][53][54]. In case (b), tree-level four-parton antennae are needed.…”