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Higgs Production at NNLL$'$+NNLO using Rapidity Dependent Jet Vetoes - Gangal, Shireen et al - arXiv:2003.04323CERN-TH-2020-036DESY 20-035DESY-20-035TIFR/TH/20-7
 
The singular, nonsingular and full fixed order NNLO cross section differential in $\Tau_{Bj}$ (left) and $\Tau_{Cj}$ (right) for R=0.5.
The singular, nonsingular and full fixed order NNLO cross section differential in $\Tau_{Bj}$ (left) and $\Tau_{Cj}$ (right) for R=0.5.
The left panel shows the collective variation of $\mu_B$ and $\mu_S$ scales by a factor of 2 (using $\mu_{\text{FO}} = \{m_H, 2m_H,m_H/2 \}$ in Eq.~\ref{eq:centralscale})) which estimates the fixed order scale uncertainty. The plots in the middle and right panels show $\mu_B$ and $\mu_S$ variation as discussed in the text (Eq.~\ref{eq:muSvary}), used to estimate the resummation uncertainty. All plots in this figure have been generated using $r_s=2$ in Eq.~\eqref{eq:frun}.
The left panel shows the collective variation of $\mu_B$ and $\mu_S$ scales by a factor of 2 (using $\mu_{\text{FO}} = \{m_H, 2m_H,m_H/2 \}$ in Eq.~\ref{eq:centralscale})) which estimates the fixed order scale uncertainty. The plots in the middle and right panels show $\mu_B$ and $\mu_S$ variation as discussed in the text (Eq.~\ref{eq:muSvary}), used to estimate the resummation uncertainty. All plots in this figure have been generated using $r_s=2$ in Eq.~\eqref{eq:frun}.
The left panel shows the collective variation of $\mu_B$ and $\mu_S$ scales by a factor of 2 (using $\mu_{\text{FO}} = \{m_H, 2m_H,m_H/2 \}$ in Eq.~\ref{eq:centralscale})) which estimates the fixed order scale uncertainty. The plots in the middle and right panels show $\mu_B$ and $\mu_S$ variation as discussed in the text (Eq.~\ref{eq:muSvary}), used to estimate the resummation uncertainty. All plots in this figure have been generated using $r_s=2$ in Eq.~\eqref{eq:frun}.
The dark orange band shows the cumulant NNLL$'+$NNLO cross section for $\Tau_{Bj} < \Tau^\cut$ (left panel) and $\Tau_{Cj} < \Tau^\cut$ (right panel) for $R = 0.5$. The blue and green bands correspond to NLL$'+$NLO and NLL predictions respectively, for each of the two observables. The solid lines indicate the predictions using the central values of the profile scales. These results have been obtained using $r_s=2$ in Eq.~\eqref{eq:frun}.
The dark orange band shows the cumulant NNLL$'+$NNLO cross section for $\Tau_{Bj} < \Tau^\cut$ (left panel) and $\Tau_{Cj} < \Tau^\cut$ (right panel) for $R = 0.5$. The blue and green bands correspond to NLL$'+$NLO and NLL predictions respectively, for each of the two observables. The solid lines indicate the predictions using the central values of the profile scales. These results have been obtained using $r_s=2$ in Eq.~\eqref{eq:frun}.
The same plots as in \fig{NNLL}, but now generated setting $r_s=1$ in Eq.~\eqref{eq:frun}.
The same plots as in \fig{NNLL}, but now generated setting $r_s=1$ in Eq.~\eqref{eq:frun}.
The same plots as in \fig{NNLL}, but with a logarithmic $x$-axis.
The same plots as in \fig{NNLL}, but with a logarithmic $x$-axis.
The same plots as in \fig{NNLLrs1}, but with a logarithmic $x$-axis.
The same plots as in \fig{NNLLrs1}, but with a logarithmic $x$-axis.
NLO + parton shower results for the Higgs cross section for $\Tau_{B/Cj},p_{Tj} < \Tau^\cut$ and $R=0.5$, generated using {\sc MadGraph5\_aMC@NLO} interfaced with Pythia8. The overall normalisation of these predictions has been adjusted such that the central predictions reproduce the NNLO Higgs cross section (including resummation of time-like logarithms) for $\Tau^\cut \to \infty$. The green, red and purple bands represent various configurations with regards to the hadronisation and underlying event. For the $\Tau_{B/Cj}$ cases, we also plot in blue the NNLL$'+$NNLO analytic prediction for comparison.
NLO + parton shower results for the Higgs cross section for $\Tau_{B/Cj},p_{Tj} < \Tau^\cut$ and $R=0.5$, generated using {\sc MadGraph5\_aMC@NLO} interfaced with Pythia8. The overall normalisation of these predictions has been adjusted such that the central predictions reproduce the NNLO Higgs cross section (including resummation of time-like logarithms) for $\Tau^\cut \to \infty$. The green, red and purple bands represent various configurations with regards to the hadronisation and underlying event. For the $\Tau_{B/Cj}$ cases, we also plot in blue the NNLL$'+$NNLO analytic prediction for comparison.
NLO + parton shower results for the Higgs cross section for $\Tau_{B/Cj},p_{Tj} < \Tau^\cut$ and $R=0.5$, generated using {\sc MadGraph5\_aMC@NLO} interfaced with Pythia8. The overall normalisation of these predictions has been adjusted such that the central predictions reproduce the NNLO Higgs cross section (including resummation of time-like logarithms) for $\Tau^\cut \to \infty$. The green, red and purple bands represent various configurations with regards to the hadronisation and underlying event. For the $\Tau_{B/Cj}$ cases, we also plot in blue the NNLL$'+$NNLO analytic prediction for comparison.
The same plots as in \fig{NLOPS}, but with a logarithmic $x$-axis.
The same plots as in \fig{NLOPS}, but with a logarithmic $x$-axis.
The same plots as in \fig{NLOPS}, but with a logarithmic $x$-axis.
Plots for the ratios $\mathcal{R}_{(\text{UE}/\text{no UE})}(\Tau^\cut)$ and $\mathcal{R}_{(\text{no had}/\text{had})}(\Tau^\cut)$ defined in Eqs.~\eqref{eq:UEratio} and \eqref{eq:hadratio}.
Plots for the ratios $\mathcal{R}_{(\text{UE}/\text{no UE})}(\Tau^\cut)$ and $\mathcal{R}_{(\text{no had}/\text{had})}(\Tau^\cut)$ defined in Eqs.~\eqref{eq:UEratio} and \eqref{eq:hadratio}.