Higgs Production at NNLL$'$+NNLO using Rapidity Dependent Jet Vetoes

The rapidity-dependent jet veto observables $\mathcal{T}_{Bj}$ and $\mathcal{T}_{Cj}$ provide a tight jet veto at central rapidity, gradually transitioning to a loose veto at forward rapidities. They divide the phase space into exclusive jet bins in a different way to the traditional jet veto observable $p_{Tj}$, and are advantageous to use under harsh pile-up conditions. We obtain predictions for the $0$-jet gluon-fusion (ggF) Higgs cross section using both of these veto observables at NNLL$'+$NNLO, and compare these predictions to the prior state-of-the-art of NLL$'+$NLO. A significant reduction in perturbative uncertainty is observed going from NLL$'+$NLO to NNLL$'+$NNLO, with the NNLL$'+$NNLO predictions lying inside the uncertainty band of the NLL$'+$NLO predictions. We also investigate the relative sensitivities of ggF Higgs cross sections with $\mathcal{T}_{Bj}$, $\mathcal{T}_{Cj}$ and $p_{Tj}$ jet vetoes to underlying event and hadronisation effects using an NLO+parton shower calculation. We find that the cross sections with $\mathcal{T}_{Bj}$ and $\mathcal{T}_{Cj}$ vetoes have a reduced sensitivity to underlying event and hadronisation effects compared to that with a $p_{Tj}$ veto.The rapidity-dependent jet veto observables $ {\mathcal{T}}_{Bj} $ and $ {\mathcal{T}}_{Cj} $ provide a tight jet veto at central rapidity, gradually transitioning to a loose veto at forward rapidities. They divide the phase space into exclusive jet bins in a different way to the traditional jet veto observable p$_{T j}$, and are advantageous to use under harsh pile-up conditions. We obtain predictions for the 0-jet gluon-fusion (ggF) Higgs cross section using both of these veto observables at NNLL′+NNLO, and compare these predictions to the prior state-of-the-art of NLL′+NLO. A significant reduction in perturbative uncertainty is observed going from NLL′+NLO to NNLL′+NNLO, with the NNLL′+NNLO predictions lying inside the uncertainty band of the NLL′+NLO predictions. We also investigate the relative sensitivities of ggF Higgs cross sections with $ {\mathcal{T}}_{Bj} $, $ {\mathcal{T}}_{Cj} $ and p$_{T j}$ jet vetoes to underlying event and hadronisation effects using an NLO+parton shower calculation. We find that the cross sections with $ {\mathcal{T}}_{Bj} $ and $ {\mathcal{T}}_{Cj} $ vetoes have a reduced sensitivity to underlying event and hadronisation effects compared to that with a p$_{T j}$ veto