Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-04-17
Phys.Lett.B676:146-151,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, LaTeX, typos corrected and references added, FORM and FORTRAN files with the helicity amplitudes are enclosed with t
Scientific paper
10.1016/j.physletb.2009.04.083
We derive the two-loop QCD helicity amplitudes for the processes $l q \to l qg$ ($l \bar q \to l \bar q g$) and $l g \to l q\bar q$, which are the partonic reactions yielding $(2+1)$-jet final states in deep inelastic lepton nucleon scattering. The amplitudes are obtained by analytic continuation of the known helicity amplitudes for $e^+e^- \to q\bar q g$. We separate the infrared divergent and finite parts of the amplitudes using Catani's infrared factorization formula. The analytic results for the finite parts of the amplitudes are expressed in terms of one- and two-dimensional harmonic polylogarithms. To evaluate these functions numerically, we list in detail the non-trivial (and kinematic region dependent) variable transformations one needs to perform.
Gehrmann Thomas
Glover E. W. N.
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