Beyond Reggeization for two- and three-loop QCD amplitudes

Vittorio Del Duca; Giulio Falcioni; Lorenzo Magnea; Leonardo Vernazza

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arXiv · 1312.5098

Beyond Reggeization for two- and three-loop QCD amplitudes

Vittorio Del Duca·Giulio Falcioni·Lorenzo Magnea·Leonardo Vernazza

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Abstract

The high-energy factorization of gauge theory scattering amplitudes in terms of universal impact factors and a Reggeized exchange in the $t$-channel, corresponding to a Regge pole in the angular momentum plane, is know to conflict with the structure of soft anomalous dimensions starting at the two-loop level. We explore the implications of this violation of factorization for two- and three-loop QCD amplitudes: first we propose criteria to organize the amplitudes into factorizing and non-factorizing terms, then we test them by recovering a known result for non-logarithmic terms at two loops. Finally we predict the precise value of the leading non-factorizing energy logarithms at three loops, and we uncover a set of all-order identities constraining infrared finite terms in quark and gluon amplitudes.

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Vittorio Del Duca, Giulio Falcioni, Lorenzo Magnea, Leonardo Vernazza. 2013-12-18. Beyond Reggeization for two- and three-loop QCD amplitudes. https://arxiv.org/abs/1312.5098

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