New fits for the non-perturbative parameters in the CSS resummation formalism

We update the non-perturbative function of the Collins-Soper-Sterman (CSS) resummation formalism which resums the large logarithmic terms originating from multiple soft gluon emission in hadron collisions. Two functional forms in impact parameter (b) space are considered, one with a pure Gaussian form with two parameters and another with an additional linear term. The results for the two parameter fit are found to be $g_1{=0.24\mathrm{}}_{-0.07}^{+0.08\mathrm{}}$ ${\mathrm{GeV}}^2$ and $g_2{=0.34\mathrm{}}_{-0.08}^{+0.07\mathrm{}}$ ${\mathrm{GeV}}^2.$ The results for the three parameter fit are $g_1{=0.15\mathrm{}}_{-0.03}^{+0.04\mathrm{}}$ ${\mathrm{GeV}}^2,$ $g_2{=0.48\mathrm{}}_{-0.05}^{+0.04\mathrm{}}$ ${\mathrm{GeV}}^2,$ and $g_3=-{0.58}_{-0.20}^{+0.26\mathrm{}}$ ${\mathrm{GeV}}^{-1}.$ We also discuss the potential of the full Fermilab Tevatron run 1 Z boson data for further testing of the universality of the non-perturbative function within the context of Drell-Yan production.