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

TL;DR

This paper performs advanced transverse-momentum resummation calculations for gauge boson pair production at the LHC, achieving higher accuracy and including non-perturbative effects, with results consistent with CMS data.

Contribution

First calculation of $W^{ mfffffffffffffffffffffffff Z}$ transverse-momentum resummation at NNLL accuracy using soft-collinear effective theory.

Findings

NNLL resummation reduces dependence on factorization scales.

Results are consistent with CMS measurements for $ZZ$ production.

Including non-perturbative effects improves theoretical predictions.

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.