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 $\sqrt{S}=8\mathrm{TeV}$ and $\sqrt{S}=14\mathrm{TeV}$ at the LHC, respectively. Importantly, this is the first calculation of $W^{\pm }Z$ transverse-momentum resummation. We also include the nonperturbative 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 the CMS Collaboration for the $ZZ$ production, which have thus far only been reported by the LHC experiments for the unfolded transverse-momentum distribution of the gauge boson pair production within theoretical and experimental uncertainties.

• Received 11 August 2013

DOI:https://doi.org/10.1103/PhysRevD.88.114017