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arXiv · 2302.09868

One-loop Lipatov vertex in QCD with higher $\epsilon$-accuracy

Victor S. Fadin·Michael Fucilla·Alessandro Papa
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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 ($D=4+2\epsilon$), up to the constant term in the $\epsilon$-expansion. In the next-to-next-to-leading approximation, however, the one-loop Lipatov vertex is needed up to the order $\epsilon^2$. In this paper we present the expression for this vertex in dimensional regularization up to the required accuracy.

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Victor S. Fadin, Michael Fucilla, Alessandro Papa. 2023-02-20. One-loop Lipatov vertex in QCD with higher $\epsilon$-accuracy. https://doi.org/10.1007/jhep04(2023)137

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