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

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arxiv 2302.09868 v2 pith:JYMRJLSZ submitted 2023-02-20 hep-ph hep-th

classification hep-phhep-th
keywords vertexepsilonlipatovone-loopaccuracyapproximationdimensionalregularization
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. New evidence for the rapidity evolution in Mueller-Navelet dijet production: BFKL, Sudakov, and RG-invariance

    hep-ph 2025-06 conditional novelty 6.0 of 10

    A new matching of NLO BFKL resummation with high-energy factorization and Sudakov effects describes Mueller-Navelet dijet data and attributes the large-rapidity decorrelation to BFKL dynamics.

  2. High-energy dynamics of QCD: Theoretical and phenomenological results

    hep-ph 2025-06 conditional novelty 6.0 of 10

    Real NLO corrections to the BFKL Higgs impact factor are derived with a physical top-quark mass, and updated tetraquark fragmentation functions are applied to predict rates at 14 and 100 TeV.

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