English

BFKL Pomeron with massive gluons

High Energy Physics - Phenomenology 2014-04-23 v1 High Energy Physics - Theory

Abstract

We solve the BFKL equation in the leading logarithmic approximation numerically in the Yang-Mills theory with the Higgs mechanism for the vector boson mass generation. It can be considered as a model for the amplitude with the correct behavior of the ss-channel partial waves at large impact parameters. The Pomeron spectrum of the massive BFKL kernel in the ω\omega-space for t=0t=0 coincides with the continuous spectrum for the massless case although the density of its eigenvalues is two times smaller for ω>ω0\omega >\omega _0, where ω0\omega_0 is a negative number. We find a simple parametrization for the corresponding eigenfunctions. Because the leading singularity in the ω\omega-plane in this Higgs model for t=0t=0 is a fixed cut, the Regge pole contributions could be only for non-physical positive tt. Hence we can state that the correct behaviour at large bb does not influence the main properties of the BFKL equation.

Cite

@article{arxiv.1401.4671,
  title  = {BFKL Pomeron with massive gluons},
  author = {Eugene Levin and Lev Lipatov and Marat Siddikov},
  journal= {arXiv preprint arXiv:1401.4671},
  year   = {2014}
}

Comments

35 pages, 21 figures

R2 v1 2026-06-22T02:49:11.740Z