Skip to main content

Research Repository

Advanced Search

The two-loop QCD matrix element for e^+e^->3 jets

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


L.W. Garland

T. Gehrmann

E.W.N. Glover

A. Koukoutsakis

E. Remiddi


We compute the O(α3 s ) virtual QCD corrections to the γ ∗ →q ¯ qg 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.


Garland, L., Gehrmann, T., Glover, E., Koukoutsakis, A., & Remiddi, E. (2002). The two-loop QCD matrix element for e^+e^->3 jets. Nuclear Physics B, 627(1-2), 107-188.

Journal Article Type Article
Publication Date Apr 15, 2002
Deposit Date May 6, 2008
Publicly Available Date May 6, 2008
Journal Nuclear Physics B
Print ISSN 0550-3213
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 627
Issue 1-2
Pages 107-188


Downloadable Citations