High-energy factorization via eigenfunctions of the next-to-leading-order BFKL kernel

We present a general formula for the amplitude of forward exclusive hadronic processes in the semihard regime of perturbative Quantum Chromodynamics (QCD), by means of the {\em next-to-leading order} eigenfunctions of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) kernel, as constructed by Chirilli and Kovchegov. We discuss some formal subtleties in the check of compatibility with the similar formula based on the use of the {\em leading-order} BFKL eigenfunctions. Finally, in the specific case of the electroproduction of two light vector mesons, we consider the numerical stability of the amplitude when one or the other set of eigenfunctions is adopted.

Publication Details

Journal
ArXiv.org
Published
2025-05-23
Primary Topic
Quantum Chromodynamics and Particle Interactions
Type
article
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article

High-energy factorization via eigenfunctions of the next-to-leading-order BFKL kernel

ArXiv.org
Quantum Chromodynamics and Particle Interactions
article

High-energy factorization via eigenfunctions of the next-to-leading-order BFKL kernel

article en

Abstract

We present a general formula for the amplitude of forward exclusive hadronic processes in the semihard regime of perturbative Quantum Chromodynamics (QCD), by means of the {\em next-to-leading order} eigenfunctions of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) kernel, as constructed by Chirilli and Kovchegov. We discuss some formal subtleties in the check of compatibility with the similar formula based on the use of the {\em leading-order} BFKL eigenfunctions. Finally, in the specific case of the electroproduction of two light vector mesons, we consider the numerical stability of the amplitude when one or the other set of eigenfunctions is adopted.

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High-energy factorization via eigenfunctions of the next-to-leading-order BFKL kernel · ArXiv.org (2025) | TGRS Research Map | TGRS