 | Left pane: Fiducial cross section for $pp \to H(\gamma \gamma) + j$ at $8$~TeV LHC as a function of the cut on the jet transverse momentum. The inset shows ratios of differential cross sections at different orders in perturbation theory for the factorization and the renormalization scales set to the mass of the Higgs boson. Right pane: fiducial cross sections for exclusive jet bins. The selection criteria are described in the text. |
 | Left pane: Fiducial cross section for $pp \to H(\gamma \gamma) + j$ at $8$~TeV LHC as a function of the cut on the jet transverse momentum. The inset shows ratios of differential cross sections at different orders in perturbation theory for the factorization and the renormalization scales set to the mass of the Higgs boson. Right pane: fiducial cross sections for exclusive jet bins. The selection criteria are described in the text. |
 | Higgs boson rapidity (left) and transverse momentum (right) distributions at the $8$ TeV LHC. The insets show ratios of differential cross sections at different orders in perturbation theory for the factorization and the renormalization scales set to the mass of the Higgs boson. |
 | Higgs boson rapidity (left) and transverse momentum (right) distributions at the $8$ TeV LHC. The insets show ratios of differential cross sections at different orders in perturbation theory for the factorization and the renormalization scales set to the mass of the Higgs boson. |
 | Rapidity and transverse momentum distributions of the most energetic jet at the $8$~TeV LHC. The insets show ratios of differential cross sections at different orders in perturbation theory for the factorization and the renormalization scales set to the mass of the Higgs boson. |
 | Rapidity and transverse momentum distributions of the most energetic jet at the $8$~TeV LHC. The insets show ratios of differential cross sections at different orders in perturbation theory for the factorization and the renormalization scales set to the mass of the Higgs boson. |
 | The distribution of the total transverse energy $H_\perp$ in $H+j\to\gamma\gamma +j$ production for the 8 TeV LHC. The inset shows ratios of differential cross sections at different orders in perturbation theory for the factorization and the renormalization scales set to the mass of the Higgs boson. |
 | Rapidity and transverse momentum distributions of the harder and softer photons in $pp \to H + j$ at the $8$ TeV LHC. The insets show ratios of differential cross sections at different orders in perturbation theory for the factorization and the renormalization scales set to the mass of the Higgs boson. |
 | Rapidity and transverse momentum distributions of the harder and softer photons in $pp \to H + j$ at the $8$ TeV LHC. The insets show ratios of differential cross sections at different orders in perturbation theory for the factorization and the renormalization scales set to the mass of the Higgs boson. |
 | Rapidity and transverse momentum distributions of the harder and softer photons in $pp \to H + j$ at the $8$ TeV LHC. The insets show ratios of differential cross sections at different orders in perturbation theory for the factorization and the renormalization scales set to the mass of the Higgs boson. |
 | Rapidity and transverse momentum distributions of the harder and softer photons in $pp \to H + j$ at the $8$ TeV LHC. The insets show ratios of differential cross sections at different orders in perturbation theory for the factorization and the renormalization scales set to the mass of the Higgs boson. |
 | Distribution of the photon decay angle in the Collins-Soper frame at the $8$ TeV LHC. The inset shows ratios of differential cross sections at different orders in perturbation theory for the factorization and the renormalization scales set to the mass of the Higgs boson. |
 | Left pane: comparison of exclusive jet cross sections in $pp \to H+j \to \gamma \gamma + j$ computed in this paper and measured by the ATLAS collaboration. Right pane: comparison of the leading jet transverse momentum distribution. The selection criteria are described in the text. |
 | Left pane: comparison of exclusive jet cross sections in $pp \to H+j \to \gamma \gamma + j$ computed in this paper and measured by the ATLAS collaboration. Right pane: comparison of the leading jet transverse momentum distribution. The selection criteria are described in the text. |
 | Left pane: the production cross section for $pp \to H + j \to W^+W^- + j \to e^+\mu^-\nu \bar \nu +j$ at the $13~{\rm TeV}$ LHC is shown as a function of the jet transverse momentum cut. The inset shows ratios of differential cross sections at different orders in perturbation theory for the factorization and the renormalization scales set to the mass of the Higgs boson. Right pane: exclusive jet cross sections for $pp \to H(e^+\mu^-\nu \bar \nu) +j$ at the $13~{\rm TeV}$ LHC. The selection criteria are described in the text. |
 | Left pane: the production cross section for $pp \to H + j \to W^+W^- + j \to e^+\mu^-\nu \bar \nu +j$ at the $13~{\rm TeV}$ LHC is shown as a function of the jet transverse momentum cut. The inset shows ratios of differential cross sections at different orders in perturbation theory for the factorization and the renormalization scales set to the mass of the Higgs boson. Right pane: exclusive jet cross sections for $pp \to H(e^+\mu^-\nu \bar \nu) +j$ at the $13~{\rm TeV}$ LHC. The selection criteria are described in the text. |
 | Left pane: the transverse momentum distribution of a positively charged lepton in $pp \to H(e^+\mu^-\nu\bar\nu) + j$ at the $13~{\rm TeV}$ LHC. Right pane: the distribution of the azimuthal opening angle of the two leptons in $pp \to H(e^+\mu^-\nu\bar\nu) + j$ at the $13~{\rm TeV}$ LHC. The selection criteria are described in the text. The insets show ratios of differential cross sections at different orders in perturbation theory for the factorization and the renormalization scales set to the mass of the Higgs boson. |
 | Left pane: the transverse momentum distribution of a positively charged lepton in $pp \to H(e^+\mu^-\nu\bar\nu) + j$ at the $13~{\rm TeV}$ LHC. Right pane: the distribution of the azimuthal opening angle of the two leptons in $pp \to H(e^+\mu^-\nu\bar\nu) + j$ at the $13~{\rm TeV}$ LHC. The selection criteria are described in the text. The insets show ratios of differential cross sections at different orders in perturbation theory for the factorization and the renormalization scales set to the mass of the Higgs boson. |
 | Left pane: the lepton invariant mass distribution in $pp \to H(e^+\mu^-\nu \bar \nu) +j$ at the $13~{\rm TeV}$ LHC. Right pane: the $W^+W^-$ boson transverse mass distribution in $pp \to H(e^+\mu^-\nu \bar \nu) +j$ at the $13~{\rm TeV}$ LHC. The selection criteria are described in the text. The insets show ratios of differential cross sections at different orders in perturbation theory for the factorization and the renormalization scales set to the mass of the Higgs boson. |
 | Left pane: the lepton invariant mass distribution in $pp \to H(e^+\mu^-\nu \bar \nu) +j$ at the $13~{\rm TeV}$ LHC. Right pane: the $W^+W^-$ boson transverse mass distribution in $pp \to H(e^+\mu^-\nu \bar \nu) +j$ at the $13~{\rm TeV}$ LHC. The selection criteria are described in the text. The insets show ratios of differential cross sections at different orders in perturbation theory for the factorization and the renormalization scales set to the mass of the Higgs boson. |