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

TL;DR

This paper introduces a Monte Carlo-based numerical method to solve the BKP equation, enabling calculation of the gluon Green function in the odderon case at leading order, with potential for more complex applications.

Contribution

A novel Monte Carlo integration approach for solving the BKP equation, demonstrated on the odderon case at leading order.

Findings

Successfully computed the gluon Green function for the odderon case

Demonstrated the method's applicability to complex scenarios

Provided a flexible numerical solution technique

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.