Fiducial Higgs and Drell-Yan distributions at N$^3$LL$^\prime$+NNLO with RadISH

Understand

We present state-of-the-art predictions for transverse observables relevant to colour-singlet production at the LHC, in particular the transverse momentum of the colour singlet in gluon-fusion Higgs production and in neutral Drell-Yan lepton-pair production, as well as the $\phi^*_\eta$ observable in Drell Yan.

• We perform a next-to-next-to-next-to-leading logarithmic (N$^3$LL) resummation of such observables in momentum space according to the RadISH formalism, consistently including in our prediction all constant terms of relative order $\alpha_s^3$ with respect to the Born, thereby achieving N$^3$LL$^\prime$ accuracy.
• The calculation is fully exclusive with respect to the Born kinematics, which allows the application of arbitrary fiducial selection cuts on the decay products of the colour singlet.
• We supplement our results with a transverse-recoil prescription, accounting for dominant classes of subleading-power corrections in a fiducial setup.