Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 4, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP04(2023)137
Keywords
Resummation; Higher-Order Perturbative Calculations
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This paper presents the expression for the effective Reggeon-Reggeon-gluon vertex, known as the Lipatov vertex, in dimensional regularization up to the required accuracy for developing the BFKL approach in QCD. Its one-loop corrections are needed in the next-to-leading logarithmic approximation, and up to order epsilon(2) in the next-to-next-to-leading approximation.
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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