Two-loop QCD helicity amplitudes for e+e−→3 jets
By L. W. Garland, Thomas Gehrmann, E. Glover, A. Koukoutsakis, Ettore Remiddi. 2002
139 citations recorded by the source corpus.
Abstract We compute the two-loop QCD helicity amplitudes for the process e + e − →q q g . The amplitudes are extracted in a scheme-independent manner from the coefficients appearing in the general tensorial structure for this process. The tensor coefficients are derived from the Feynman graph amplitudes by means of projectors, within the conventional dimensional regularization scheme. The actual calculation of the loop integrals is then performed by reducing all of them to a small set of known master integrals. The infrared pole structure of the renormalized helicity amplitudes agrees with the prediction made by Catani using an infrared factorization formula. We use this formula to structure our results for the finite part into terms arising from the expansion of the pole coefficients and a genuine finite remainder, which is independent of the scheme used to define the helicity amplitudes. The analytic result for the finite parts of the amplitudes is expressed in terms of one- and two-dimensional harmonic polylogarithms.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/8c0d9821846dcf270a269cc9f657c5fcea4a5051
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In Nuclear and High Energy Physics
Citations in the corpus
- Jet production in the CoLoRFulNNLO method: event shapes in electron-positron collisions (2016, background): “ections to four jet production have been computed in refs. [59,70{72]. The two-loop matrix elements for =Z !qqg are also available both in squared matrix element form [73] and as helicity amplitudes [74]. In the CoLoRFulNNLO framework the subtraction terms correctly account for all spin and color co”
- Introduction to Soft-Collinear Effective Theory (2014, background): “In particular, it agrees with the IR poles found in • the three-loop quark and gluon form factors [84], which determine γcusp(αs) as well as the functions γ(αs) for quarks and gluons up to three-loop order in the expansion in αs [70, 71], • the two-loop three-jet V → qqg amplitude [85,86], • the two”