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 +0 . 08 − 0 . 07 GeV 2 , g 2 = 0 . 34 +0 . 07 − 0 . 08 GeV 2 . The results for the three parameter fit are g 1 = 0 . 15 +0 . 04 − 0 . 03 GeV 2 , g 2 = 0 . 48 +0 . 04 − 0 . 05 GeV 2 , and g 3 = − 0 . 58 +0 . 26 − 0 . 20 GeV − 1 . We also discuss the potential of the full Tevatron Run 1 Z boson data for further testing of the universality of the non-perturbative function.