English

Modified Homotopic approach for diffractive production

High Energy Physics - Phenomenology 2025-02-17 v1

Abstract

We review the recent developments of the use of the homotopy method for solving the non-linear evolution equation for the diffractive production in deep inelastic scattering. We introduce part of the non-linear corrections in the linear term. This simplified non-linear evolution equation is solved analytically taking into account the initial and boundary conditions for the process. It turns out that these corrections are rather small and can be estimated in the regular iterative procedure.

Keywords

Cite

@article{arxiv.2502.09668,
  title  = {Modified Homotopic approach for diffractive production},
  author = {Carlos Contreras and José Garrido and Eugene Levin and Rodrigo Meneses},
  journal= {arXiv preprint arXiv:2502.09668},
  year   = {2025}
}

Comments

6 pages, 3 figures. Presented at "Diffraction and Low-$x$ 2024", Trabia (Palermo, Italy), September 8-14, 2024

R2 v1 2026-06-28T21:43:41.611Z