Transverse-Momentum Resummation for Gauge Boson Pair Production at the Hadron Collider

Abstract

We perform the transverse-momentum resummation for $W^{+}{W}^{-}$, $ZZ$, and $W^{\pm }Z$ pair productions at the next-to-next-to-leading logarithmic accuracy using soft-collinear effective theory for $\sqrt{S}=8\text{TeV}$ and $\sqrt{S}=14\text{TeV}$ at the LHC, respectively. Especially, this is the first calculation of $W^{\pm }Z$ transverse-momentum resummation. We also include the non-perturbative effects and discussions on the PDF uncertainties. Comparing with the next-to-leading logarithmic results, the next-to-next-to-leading logarithmic resummation can reduce the dependence of the transverse-momentum distribution on the factorization scales significantly. Finally, we find that our numerical results are consistent with data measured by CMS collaboration for the $ZZ$ production, which have been only reported by the LHC experiments for the unfolded transverse-momentum distribution of the gauge boson pair production so far, within theoretical and experimental uncertainties.

Comments: 22 pages, 6 figures, re-version