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Eikonal gluon bremsstrahlung at finite Nc beyond two loops
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| Organization: | Département de Physique, Faculté des Sciences de la Matière, Université Batna 1 |
| Organization: | Département de Physique, Faculté des Sciences, Université Hassiba Benbouali de Chlef |
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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 Nc. 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-Nc limit, our results coincide with those previously reported in literature.
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