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QCD prediction for heavy boson transverse momentum distributions

Jianwei Qiu, Xiaofei Zhang

TL;DR

The predictive power of the Collins, Soper, and Sterman b-space QCD resummation formalism for transverse momentum distributions of heavy boson production in hadronic collisions has a strong dependence on the collision energy sqrt[S] in addition to its well known Q2 dependence, and the sqrt,[S] dependence improves the predictive power at collider energies.

Abstract

We investigate the predictive power of Collins, Soper, and Sterman's $b$-space QCD resummation formalism for transverse momentum ($Q_T$) distributions of heavy boson production in hadronic collisions. We show that the predictive power of the resummation formalism has a strong dependence on the collision energy $\sqrt{S}$ in addition to its well-known $Q^2$ dependence, and the $\sqrt{S}$ dependence improves the predictive power at collider energies. We demonstrate that at Tevatron and the LHC energies, the $Q_T$ distributions derived from $b$-space resummation are not sensitive to the nonperturbative input at large $b$, and give good descriptions of the $Q_T$ distributions of heavy boson production at all transverse momenta $Q_T \leq Q$.

QCD prediction for heavy boson transverse momentum distributions

TL;DR

The predictive power of the Collins, Soper, and Sterman b-space QCD resummation formalism for transverse momentum distributions of heavy boson production in hadronic collisions has a strong dependence on the collision energy sqrt[S] in addition to its well known Q2 dependence, and the sqrt,[S] dependence improves the predictive power at collider energies.

Abstract

We investigate the predictive power of Collins, Soper, and Sterman's -space QCD resummation formalism for transverse momentum () distributions of heavy boson production in hadronic collisions. We show that the predictive power of the resummation formalism has a strong dependence on the collision energy in addition to its well-known dependence, and the dependence improves the predictive power at collider energies. We demonstrate that at Tevatron and the LHC energies, the distributions derived from -space resummation are not sensitive to the nonperturbative input at large , and give good descriptions of the distributions of heavy boson production at all transverse momenta .

Paper Structure

This paper contains 9 equations, 3 figures.

Figures (3)

  • Figure 1: Integrand of the $b$-integration in Eq. (\ref{['css-W-F']}) at $Q_T=0$ as a function of $b$ for $Q=6$ GeV (a) and $Q=M_Z$ (c) with an arbitrary normalization; and the first (solid) and second (dashed) terms in Eq. (\ref{['saddle']}) as a function of $b$ in (b) and (d) at the respective $Q$.
  • Figure 2: Comparison between the $b$-space resummed $Q_T$ distribution and CDF data CDF-Z. The inset shows the $Q_T<20$ GeV region.
  • Figure 3: Comparison between the $b$-space resummed $Q_T$ distribution and D0 data D0-W. The inset shows the $Q_T<20$ GeV region.