Abstract
The effective Reggeon-Reggeon-gluon vertex, known as Lipatov vertex, is the key ingredient that allows to develop the BFKL approach in QCD. Within the next-to-leading logarithmic approximation, it is sufficient to know its one-loop corrections, in dimensional regularization (D = 4 + 2ϵ), up to the constant term in the ϵ-expansion. In the next-to-next-to-leading approximation, however, the one-loop Lipatov vertex is needed up to the order ϵ2. In this paper we present the expression for this vertex in dimensional regularization up to the required accuracy.
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Acknowledgments
We thanks Marco Rossi, Lech Szymanowski and Samuel Wallon for useful discussions.
M.F. thanks IJCLab for support while part of this work was done.
M.F. and A.P acknowledge support from the INFN/QFT@COLLIDERS project.
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Fadin, V.S., Fucilla, M. & Papa, A. One-loop Lipatov vertex in QCD with higher ϵ-accuracy. J. High Energ. Phys. 2023, 137 (2023). https://doi.org/10.1007/JHEP04(2023)137
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DOI: https://doi.org/10.1007/JHEP04(2023)137