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arXiv · 1512.05401

Eikonal gluon bremsstrahlung at finite N_c beyond two loops

Yazid Delenda·Kamel Khelifa-Kerfa
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Abstract

We present a general formalism for computing the matrix-element squared for the emission of soft energy-ordered gluons beyond two loops in QCD perturbation theory at finite $N_c$. Our formalism is valid in the eikonal approximation. A Mathematica program has been developed for the automated calculation of all real/virtual eikonal squared amplitudes needed at a given loop order. For the purpose of illustration we show the explicit forms of the eikonal squared amplitudes up to the fifth-loop order. In the large-$N_c$ limit our results coincide with those previously reported in literature.

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Yazid Delenda, Kamel Khelifa-Kerfa. 2016-03-23. Eikonal gluon bremsstrahlung at finite N_c beyond two loops. https://doi.org/10.1103/physrevd.93.054027

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