The growth with energy of vector meson photo-production cross-sections and low x evolution
We investigate the energy dependence of the exclusive photo-production cross-sections of vector mesons $J/\Psi$ and $\Upsilon$ on protons. In particular we are interested in the question whether their energy dependence has a description in terms of perturbative low x (i.e. BFKL) evolution. As an update to the original publication  we include recent LHCb $13$ TeV results in our comparison with data.