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NLO corrections to the BFKL equation in QCD and in supersymmetric gauge theories

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arxiv hep-ph/0004008 v2 pith:5GCVT4YF submitted 2000-04-02 hep-ph hep-th

classification hep-phhep-th
keywords bfklkernelcorrectionsequationgaugesupersymmetrictheoriesanalytic
verification ladder T0 review T1 audit T2 compute T3 formal
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We study next-to-leading corrections to the integral kernel of the BFKL equation for high energy cross-sections in QCD and in supersymmetric gauge theories. The eigenvalue of the BFKL kernel is calculated in an analytic form as a function of the anomalous dimension \gamma of the local gauge-invariant operators and their conformal spin n. For the case of an extended N=4 SUSY the kernel is significantly simplified. In particular, the terms non-analytic in n are canceled. We discuss the relation between the DGLAP and BFKL equations in the N=4 model.

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Cited by 7 Pith papers

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

  1. The next-to-next-to-leading order BFKL eigenvalue at odd conformal spin in planar N=4 super Yang-Mills: closed form, coefficient structure, and arithmetic

    hep-th 2026-07 conditional novelty 8.0 of 10

    The NNLO BFKL eigenvalue of planar N=4 SYM is given in closed form at every odd conformal spin via exact Mellin extraction from the Caron-Huot–Herranen integrand, matching quantum spectral curve intercepts through n=91.

  2. Running coupling effects in the anti-collinear resummation in high energy evolution

    hep-ph 2026-07 conditional novelty 6.0 of 10

    Running coupling plus anti-collinear resummation in BFKL/JIMWLK slows evolution and cuts the anti-collinear Pomeron intercept, while χ(γ=1) is protected by a cancellation between kernel and DGLAP running.

  3. Regge Trajectories of N=4 SYM Part I: General Asymptotic Baxter-Bethe Ansatz

    hep-th 2025-07 conditional novelty 6.0 of 10

    From the Quantum Spectral Curve, the authors derive the Asymptotic Baxter-Bethe Ansatz, which determines the asymptotic BFKL spectrum of Regge trajectories in N=4 SYM, reproduces known weak-coupling results, and suppo...

  4. Regge factorization of tree-level QCD amplitudes using a minimal set of lightcone variables

    hep-ph 2025-06 conditional novelty 6.0 of 10

    All tree-level QCD multi-Regge emission vertices with up to four final-state partons are extracted in a minimal lightcone-variable frame and collected in the MREV Mathematica library.

  5. 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.

  6. 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.

  7. Toward Precision Fragmentation of $\Omega_{3Q}$ Baryons: The OMG3Q1.1 Framework

    hep-ph 2026-06 unverdicted novelty 5.0 of 10

    The OMG3Q1.1 framework delivers the first uncertainty-quantified set of fragmentation functions for all-heavy Ω_{3Q} baryons via diquark-inspired inputs, HF-NRevo evolution, and replica-based error estimation.

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