Abstract
Imposing infrared boundary conditions on the BFKL equation with running coupling transforms the complex momentum ω-plane cut present in the gluon Green function into an infinite series of positive Regge poles. In addition, a cut on the negative ω line remains. We consider a Hermitian kernel at leading order with running coupling and construct the gluon Green function performing the ω integration away from the real axis. We find a strong dependence of the asymptotic intercepts and collinear behaviour on the non-perturbative choice of the boundary conditions, in the form of an infrared phase. This is particularly manifest in the asymmetric infrared/ultraviolet structure of the associated diffusion in transverse momentum. We find that random walks into the infrared region are largely reduced in this approach.
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Ross, D.A., Vera, A.S. The effect of the infrared phase of the discrete BFKL pomeron on transverse momentum diffusion. J. High Energ. Phys. 2016, 71 (2016). https://doi.org/10.1007/JHEP08(2016)071
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DOI: https://doi.org/10.1007/JHEP08(2016)071