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arXiv · 1401.4671

BFKL Pomeron with massive gluons

Eugene Levin·Lev Lipatov·Marat Siddikov
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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 $s$-channel partial waves at large impact parameters. The Pomeron spectrum of the massive BFKL kernel in the $ω$-space for $t=0$ coincides with the continuous spectrum for the massless case although the density of its eigenvalues is two times smaller for $ω>ω_0$, where $ω_0$ is a negative number. We find a simple parametrization for the corresponding eigenfunctions. Because the leading singularity in the $ω$-plane in this Higgs model for $t=0$ is a fixed cut, the Regge pole contributions could be only for non-physical positive $t$. Hence we can state that the correct behaviour at large $b$ does not influence the main properties of the BFKL equation.

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Eugene Levin, Lev Lipatov, Marat Siddikov. 2014-01-19. BFKL Pomeron with massive gluons. https://doi.org/10.1103/physrevd.89.074002

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