The two-loop QCD matrix element for e+e−→3 jets
By L. W. Garland, Thomas Gehrmann, E. Glover, A. Koukoutsakis, Ettore Remiddi. 2001
159 citations recorded by the source corpus.
Abstract We compute the O (α s 3 ) virtual QCD corrections to the γ ∗ →q q g matrix element arising from the interference of the two-loop with the tree-level amplitude and from the self-interference of the one-loop amplitude. The calculation is performed by reducing all loop integrals appearing in the two-loop amplitude to a small set of known master integrals. Infrared and ultraviolet divergences are both regularized using conventional dimensional regularization, and the ultraviolet renormalization is performed in the MS scheme. The infrared pole structure of the matrix elements agrees with the prediction made by Catani using an infrared factorization formula. The analytic result for the finite terms of both matrix elements is expressed in terms of one- and two-dimensional harmonic polylogarithms.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/c2593619550fbd86c01a3ecc967035d64ecf9e7f
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In Nuclear and High Energy Physics
Citations in the corpus
- Introduction to Soft-Collinear Effective Theory (2014, background): “luon form factors [87], which determine γcusp(αs) as well as the functions γi(αs) for quarks and gluons up to three-loop order in the expansion in αs [73, 74], •the two-loop three-jet V →qqgamplitude [88, 89], •the two-loop four-jet amplitudes [90–94], •the three-loop four-jet amplitudes in N= 4 sup”
- Jet production in the CoLoRFulNNLO method: event shapes in electron-positron collisions (2016, methodology): “The two-loop matrix elements for γ =Z → qqg are also available both in squared matrix element form [73] and as helicity amplitudes [74].”
- Sector Decomposition (2008, methodology): “Knowledge about the physical singularity structure (i.e. the soft and collinear limits) and inspection by eye of certain terms can certainly help to prevent unnecessary decompositions, but the applicability of such criteria is rather limited for complicated expressions as occurring e.g. in NNLO matr”