Transverse-momentum resummation for gauge boson pair production at the hadron collider

We perform the transverse-momentum resummation for W+W-, ZZ, and W(+)Z pair productions at the next-to-next-to-leading logarithmic accuracy using soft-collinear effective theory for root S = 8 TeV and root S = 14 TeV at the LHC, respectively. Importantly, this is the first calculation of W(+/-)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.