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Nonperturbative contributions to a resummed leptonic angular distribution in inclusive $Z/γ^*$ boson production

Marco Guzzi, Pavel M. Nadolsky

Abstract

We summarize a new analysis of the distribution $φ_η^{*}$ of charged leptons produced in decays of $Z$ and $γ^{*}$ bosons in the Collins-Soper-Sterman (CSS) formalism for transverse momentum resummation. By comparing the $φ_η^{*}$ distribution measured at the Tevatron with the resummed CSS cross section with approximate ${\cal O}(α_{s}^{2})$ Wilson coefficients, we constrain the magnitude of the nonperturbative Gaussian smearing factor and analyze its uncertainty caused by variations in scale parameters. We find excellent agreement between the $φ_η^{*}$ data and our theoretical prediction, provided by the \textsc{ResBos} resummation program. The nonperturbative factor that we obtained can be used to update resummed QCD predictions for precision measurements in inclusive $W$ and $Z$ production and for comparisons to various models of nonperturbative dynamics.

Nonperturbative contributions to a resummed leptonic angular distribution in inclusive $Z/γ^*$ boson production

Abstract

We summarize a new analysis of the distribution of charged leptons produced in decays of and bosons in the Collins-Soper-Sterman (CSS) formalism for transverse momentum resummation. By comparing the distribution measured at the Tevatron with the resummed CSS cross section with approximate Wilson coefficients, we constrain the magnitude of the nonperturbative Gaussian smearing factor and analyze its uncertainty caused by variations in scale parameters. We find excellent agreement between the data and our theoretical prediction, provided by the \textsc{ResBos} resummation program. The nonperturbative factor that we obtained can be used to update resummed QCD predictions for precision measurements in inclusive and production and for comparisons to various models of nonperturbative dynamics.

Paper Structure

This paper contains 1 section, 6 equations, 2 figures.

Table of Contents

  1. Acknowledgments

Figures (2)

  • Figure 1: Impact of the scale variation on the agreement between theory and data for $|y_{Z}|\leq1$.
  • Figure 2: Estimate of coefficient $a_{1}$ in the three bins of rapidity of the data without (left inset) and with (right inset) $C_{1},C_{2}$ and $C_{3}$ shifts.