BFKL Pomeron with massive gluons
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 -channel partial waves at large impact parameters. The Pomeron spectrum of the massive BFKL kernel in the -space for coincides with the continuous spectrum for the massless case although the density of its eigenvalues is two times smaller for , where is a negative number. We find a simple parametrization for the corresponding eigenfunctions. Because the leading singularity in the -plane in this Higgs model for is a fixed cut, the Regge pole contributions could be only for non-physical positive . Hence we can state that the correct behaviour at large 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