Two-loop QCD helicity amplitudes for e+e−→3 jets

Garland, L.W.; Gehrmann, Thomas; Glover, E. W. N.; Koukoutsakis, A.; Remiddi, E.

doi:10.1016/s0550-3213(02)00627-2

Cited by 185 publications

(234 citation statements)

References 83 publications

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“…At O(λ 2 ) operators with up to four collinear fields are present in the basis. The amplitudes are known for e + e − → 3 partons (and related crossings) at 2 loops [117,118], and e + e − → 4 partons (and related crossings) at 1 loop [119,120]. As the focus of the present paper is on the structure of the operators, we will content ourselves with performing the tree level matching, leaving the higher loop matching for future work.…”

Section: Matching At Subleading Powermentioning

confidence: 99%

A complete basis of helicity operators for subleading factorization

Feige

Kolodrubetz

Moult

et al. 2017

J. High Energ. Phys.

193

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Factorization theorems underly our ability to make predictions for many processes involving the strong interaction. Although typically formulated at leading power, the study of factorization at subleading power is of interest both for improving the precision of calculations, as well as for understanding the all orders structure of QCD. We use the SCET helicity operator formalism to construct a complete power suppressed basis of hard scattering operators for e + e − → dijets, e − p → e − jet, and constrained Drell-Yan, including the first two subleading orders in the amplitude level power expansion. We analyze the field content of the jet and soft function contributions to the power suppressed cross section for e + e − → dijet event shapes, and give results for the lowest order matching to the contributing operators. These results will be useful for studies of power corrections both in fixed order and resummed perturbation theory.

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Section: Matching At Subleading Powermentioning

confidence: 99%

A complete basis of helicity operators for subleading factorization

Feige

Kolodrubetz

Moult

et al. 2017

J. High Energ. Phys.

193

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“…The full two-loop jet functions are known [33,34] and also the two-loop soft function has now been computed [35]. The non-logarithmic piece of the two-loop hard function can be extracted from the results of [38,39], and we plan to include the full two-loop matching in the future. To indicate that we only have a partial result, we denote our highest order by N 3 LL p .…”

Section: Resummation and Matching To Fixed Ordermentioning

confidence: 99%

Precision direct photon andW-boson spectra at highpTand comparison to LHC data

2012

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“…The individual partonic channels that contribute through to NNLO are shown in Table I. All of the tree-level and loop amplitudes associated with these channels are known in the literature [10,11,12,13].…”

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confidence: 99%

Second-Order QCD Corrections to the Thrust Distribution in Electron-Positron Annihilation

et al. 2007

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We compute the next-to-next-to-leading order (NNLO) QCD corrections to the thrust distribution in electron-positron annihilation. The corrections turn out to be sizable, enhancing the previously known next-to-leading order prediction by about 15%. Inclusion of the NNLO corrections significantly reduces the theoretical renormalisation scale uncertainty on the prediction of the thrust distribution.PACS numbers: 12.38. Bx, 13.66.Bc, 13.66.Jn, Three-jet production cross sections and related event shape distributions in e + e − annihilation processes are classical hadronic observables which can be measured very accurately and provide an ideal proving ground for testing our understanding of strong interactions. The deviation from simple two-jet configurations is proportional to the strong coupling constant, so that by comparing the measured three-jet rate and related event shapes with the theoretical predictions, one can determine the strong coupling constant α s .The theoretical prediction is made within perturbative QCD, expanded to a finite order in the coupling constant. This truncation of the perturbative series induces a theoretical uncertainty from omitting higher order terms. It can be quantified by the renormalisation scale dependence of the prediction, which is vanishing for an all-order prediction. The residual dependence on variations of the renormalisation scale is therefore an estimate of the theoretical error.So far the three-jet rate and related event shapes have been calculated [1,2] up to the next-to-leading order (NLO), improved by a resummation of leading and subleading infrared logarithms [3,4] and by the inclusion of power corrections [5].QCD studies of event shape observables at LEP [6] are based around the use of NLO parton-level event generator programs [7]. It turns out that the current error on α s from these observables [8] is dominated by the theoretical uncertainty. Clearly, to improve the determination of α s , the calculation of the NNLO corrections to these observables becomes mandatory. We present here the first NNLO calculation of the thrust distribution, which is an event shape related to three-jet production.The thrust variable for a hadronic final state in e + e − annihilation is defined as [9]

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Two-loop QCD helicity amplitudes for e+e−→3 jets

Cited by 185 publications

References 83 publications

A complete basis of helicity operators for subleading factorization

A complete basis of helicity operators for subleading factorization

Precision direct photon andW-boson spectra at highpTand comparison to LHC data

Second-Order QCD Corrections to the Thrust Distribution in Electron-Positron Annihilation

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