Matching NNLO to parton shower using N$^3$LL colour-singlet transverse momentum resummation in GENEVA

Understand

We extend the GENEVA Monte Carlo framework using the transverse momentum of a colour-singlet system as the resolution variable.

• This allows us to use next-to-next-to-next-to leading logarithm (N$^3$LL) resummation via the \radish formalism to obtain precise predictions for any colour-singlet production process at the fully exclusive level.
• Thanks to the implementation of two different resolution variables within the GENEVA framework, we are able to assess the impact of such a choice on differential observables for the first time.
• As a first application we present predictions for Drell-Yan lepton pair production at next-to-next-to-leading order (NNLO) in QCD interfaced to a parton shower simulation that includes additional all-order radiative corrections.