Addendum: Electroweak Sudakov effects in W, Z and gamma production at large transverse momentum

Abstract

In this addendum to Phys. Rev. D 88, no. 1, 013009 (2013), we give results for the electroweak Sudakov corrections in gauge-boson production at large transverse momentum p_T at proton colliders. In order for the results to be easily usable, we provide a simple and accurate parameterization of the corrections as a function of p_T and the center-of-mass energy \sqrt{s}. Additionally, we also discuss the dependence of the electroweak corrections on the rapidity of the produced boson, and comment on the complications that arise in the photon-production case due to isolation requirements

Figures (4)

• Figure 1: $Δσ^{ew}$ for $Z$ production at $\sqrt{s}=7~\rm{TeV}$ computed using the exact expressions from Ref. Becher:2013zua, black points, and the parameterization in Eq. (\ref{['eq:polpt']}), red line. For reference, we also show the theoretical uncertainty of the result as the grey band (see Ref. Becher:2013zua for further details).
• Figure 2: Ratios of $Δσ^{ew}$ at different energies, for a $pp$ collider. Left: $\sqrt{s}=7\,\rm{TeV}$ over $\sqrt{s}=33\,\rm{TeV}$ for $W^+$. Right: $\sqrt{s}=7\,\rm{TeV}$ over $\sqrt{s}=33\,\rm{TeV}$ for $Z$. The black points are always the exact result using the expressions from Ref. Becher:2013zua, and the red lines are the $f_V$ factors in Eqs. (\ref{['eq:fZs']})-(\ref{['eq:fWps']}).
• Figure 3: Left panel: Cross section differential in rapidity, normalized to the value at $y=0$. Right panel: Size of the electroweak corrections as a function of rapidity, normalized to the value of the correction integrated over rapidity.
• Figure 4: $Δσ^{ew}$ at 8 TeV for γ production at different rapidity ranges. In the highest rapidity range shown in the last plot the cross section is essentially 0 for $p_T>1200$ GeV.