Abstract
We compute the three-loop leading-colour corrections to the Yang-Mills Regge trajectory and gluon impact factor. Conjecturing that, in analogy with \( \mathcal{N} \) = 4 super Yang-Mills (SYM), in a suitable scheme Nc-subleading terms are absent from the three-loop Regge trajectory, we understand our result as the first computation of the pure gauge, or nf = 0, part of the QCD three-loop Regge trajectory. The results are presented both for the bare and renormalised amplitudes and are consistent with predictions from infrared factorisation along with reproducing known results in planar \( \mathcal{N} \) = 4 SYM through a maximal weight truncation. We also include the dependence on a Regge factorisation scale to facilitate future applications in BFKL theory at next-to-next-to leading logarithmic accuracy.
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ArXiv ePrint: 2111.14265
On leave from INFN, Laboratori Nazionali di Frascati, Italy. (Vittorio Del Duca)
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Del Duca, V., Marzucca, R. & Verbeek, B. The gluon Regge trajectory at three loops from planar Yang-Mills theory. J. High Energ. Phys. 2022, 149 (2022). https://doi.org/10.1007/JHEP01(2022)149
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DOI: https://doi.org/10.1007/JHEP01(2022)149