Solution of the Bartels-Kwiecinski-Praszalowicz equation via Monte Carlo integration

Abstract

We present a method of solution of the Bartels-Kwiecinski-Praszalowicz (BKP) equation based on the numerical integration of iterated integrals in transverse momentum and rapidity space. As an application, our procedure, which makes use of Monte Carlo integration techniques, is applied to obtain the gluon Green function in the odderon case at leading order. The same approach can be used for more complicated scenarios.

arXiv comment19 pages, 12 figures

References in corpus (14)

• High energy QCD as a completely integrable model
• A New Odderon Solution in Perturbative QCD
• BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes
• N=4 supersymmetric Yang Mills scattering amplitudes at high energies: the Regge cut contribution
• Solution of the Odderon Problem
• Integrability of scattering amplitudes in N=4 SUSY
• Interaction of Reggeized Gluons in the Baxter-Sklyanin Representation
• The colour octet representation of the non-forward BFKL Green function
• NLO Corrections to the kernel of the BKP-equations
• The NLO N =4 SUSY BFKL Green function in the adjoint representation
• Exact resolution of the Baxter equation for reggeized gluon interactions
• A Monte Carlo study of double logarithms in the small x region
• Analytic properties of high energy production amplitudes in N=4 SUSY
• The high-energy radiation pattern from BFKLex with double-log collinear contributions

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• Probing the BFKL dynamics in inclusive three jet production at the LHC
• Photon-Odderon interference in exclusive ${\chi }_c$ charmonium production at the Electron-Ion Collider
• High-energy resummation in semi-hard processes at the LHC
• Open Spin Chains and Complexity in the High Energy Limit
• Multi-jet production in the high energy limit at LHC
• On the conformal spin dependence of the perturbative QCD vacuum singularity