The JEC, JER, and total systematic uncertainties in unfolded cross sections as functions of transverse momentum, for 1.5<|y|<2. The total systematic uncertainty includes also the luminosity, jet identification and trigger efficiency uncertainties.

The unfolded measured particle-level inclusive jet cross section as functions of jet pT (markers), for |y|<0.5, compared to the NLO perturbative QCD prediction (histogram), using the CT14NLO PDF set, with muR = muF = HT, and corrected for the NP effects. The experimental and theoretical systematic uncertainties are shown.

The unfolded measured particle-level inclusive jet cross section as functions of jet pT (markers), for 0.5<|y|<1, compared to the NLO perturbative QCD prediction (histogram), using the CT14NLO PDF set, with muR = muF = HT, and corrected for the NP effects. The experimental and theoretical systematic uncertainties are shown.

The unfolded measured particle-level inclusive jet cross section as functions of jet pT (markers), for 1<|y|<1.5, compared to the NLO perturbative QCD prediction (histogram), using the CT14NLO PDF set, with muR = muF = HT, and corrected for the NP effects. The experimental and theoretical systematic uncertainties are shown.

The unfolded measured particle-level inclusive jet cross section as functions of jet pT (markers), for 1.5<|y|<2, compared to the NLO perturbative QCD prediction (histogram), using the CT14NLO PDF set, with muR = muF = HT, and corrected for the NP effects. The experimental and theoretical systematic uncertainties are shown.

Ratios (points) of the unfolded measured cross sections to the NLO theoretical predictions, using the CT14NLO PDF set, with mu = pT, for |y|<0.5. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NLO theoretical predictions, using the CT14NLO PDF set, with mu = pT, for 0.5<|y|<1. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NLO theoretical predictions, using the CT14NLO PDF set, with mu = pT, for 1<|y|<1.5. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NLO theoretical predictions, using the CT14NLO PDF set, with mu = pT, for 1.5<|y|<2. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NLO theoretical predictions, using the CT14NLO PDF set, with mu = HT, for |y|<0.5. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NLO theoretical predictions, using the CT14NLO PDF set, with mu = HT, for 0.5<|y|<1. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NLO theoretical predictions, using the CT14NLO PDF set, with mu = HT, for 1<|y|<1.5. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NLO theoretical predictions, using the CT14NLO PDF set, with mu = HT, for 1.5<|y|<2. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NNLO theoretical predictions, using the CT14NNLO PDF set, with mu = HT, for |y|<0.5. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NNLO theoretical predictions, using the CT14NNLO PDF set, with mu = HT, for 0.5<|y|<1. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NNLO theoretical predictions, using the CT14NNLO PDF set, with mu = HT, for 1<|y|<1.5. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NNLO theoretical predictions, using the CT14NNLO PDF set, with mu = HT, for 1.5<|y|<2. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NNLO theoretical predictions, using the NNPDF31NNLO PDF set, with mu = HT, for |y|<0.5. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NNLO theoretical predictions, using the NNPDF31NNLO PDF set, with mu = HT, for 0.5<|y|<1. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NNLO theoretical predictions, using the NNPDF31NNLO PDF set, with mu = HT, for 1<|y|<1.5. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NNLO theoretical predictions, using the NNPDF31NNLO PDF set, with mu = HT, for 1.5<|y|<2. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

The effect of aS(MZ) variation, for |y|<0.5. The NNLO theoretical cross section predictions using the NNPDF31NNLO PDF with m = HT, calculated for different choices of aS (0.108, 0.110, 0.112, 0.114, 0.116, 0.117, 0.118, 0.119, 0.120, 0.122, and 0.124), are divided by the benchmark NNLO prediction for aS = 0.118 and the same choice of PDF set, muR, and muF. Also shown is the experimental unfolded measurement divided by the same benchmark prediction. The width of the unity line corresponds to the statistical uncertainty from the MC integration for the determination of the NNLO prediction. The error bars on the unfolded data correspond to the total experimental statistical and systematic uncertainty added in quadrature.

The effect of aS(MZ) variation, for 0.5<|y|<1. The NNLO theoretical cross section predictions using the NNPDF31NNLO PDF with m = HT, calculated for different choices of aS (0.108, 0.110, 0.112, 0.114, 0.116, 0.117, 0.118, 0.119, 0.120, 0.122, and 0.124), are divided by the benchmark NNLO prediction for aS = 0.118 and the same choice of PDF set, muR, and muF. Also shown is the experimental unfolded measurement divided by the same benchmark prediction. The width of the unity line corresponds to the statistical uncertainty from the MC integration for the determination of the NNLO prediction. The error bars on the unfolded data correspond to the total experimental statistical and systematic uncertainty added in quadrature.

The effect of aS(MZ) variation, for 1<|y|<1.5. The NNLO theoretical cross section predictions using the NNPDF31NNLO PDF with m = HT, calculated for different choices of aS (0.108, 0.110, 0.112, 0.114, 0.116, 0.117, 0.118, 0.119, 0.120, 0.122, and 0.124), are divided by the benchmark NNLO prediction for aS = 0.118 and the same choice of PDF set, muR, and muF. Also shown is the experimental unfolded measurement divided by the same benchmark prediction. The width of the unity line corresponds to the statistical uncertainty from the MC integration for the determination of the NNLO prediction. The error bars on the unfolded data correspond to the total experimental statistical and systematic uncertainty added in quadrature.

The effect of aS(MZ) variation, for 1.5<|y|<2. The NNLO theoretical cross section predictions using the NNPDF31NNLO PDF with m = HT, calculated for different choices of aS (0.108, 0.110, 0.112, 0.114, 0.116, 0.117, 0.118, 0.119, 0.120, 0.122, and 0.124), are divided by the benchmark NNLO prediction for aS = 0.118 and the same choice of PDF set, muR, and muF. Also shown is the experimental unfolded measurement divided by the same benchmark prediction. The width of the unity line corresponds to the statistical uncertainty from the MC integration for the determination of the NNLO prediction. The error bars on the unfolded data correspond to the total experimental statistical and systematic uncertainty added in quadrature.

Unfolded correlation matrix for |y|<0.5.

Unfolded correlation matrix for 0.5<|y|<1.

Unfolded correlation matrix for 1<|y|<1.5.

Unfolded correlation matrix for 1.5<|y|<2.

Unfolded $\nu_\mu$ CC1$\pi^+$ differential cross section as a function of $p_\mu$ in the reduced phase-space of $p_{\pi^+} > 200$ MeV/$c$, $p_\mu > 200$ MeV/c, $\cos(\theta_{\pi^+}) > 0.3$ and $\cos(\theta_\mu) > 0.3$.

Unfolded $\nu_\mu$ CC1$\pi^+$ differential cross section as a function of $\cos\theta_\mu$ in the reduced phase-space of $p_{\pi^+} > 200$ MeV/$c$, $p_\mu > 200$ MeV/c, $\cos(\theta_{\pi^+}) > 0.3$ and $\cos(\theta_\mu) > 0.3$.

Unfolded $\nu_\mu$ CC1$\pi^+$ differential cross section as a function of $\cos\theta_{\mu,\pi}$ in the reduced phase-space of $p_{\pi^+} > 200$ MeV/$c$, $p_\mu > 200$ MeV/c, $\cos(\theta_{\pi^+}) > 0.3$ and $\cos(\theta_\mu) > 0.3$.

Unfolded $\nu_\mu$ CC1$\pi^+$ differential cross section as a function of $E_\nu^{\rm rec}$ ($\Delta$) in the reduced phase-space of $p_{\pi^+} > 200$ MeV/$c$, $p_\mu > 200$ MeV/c, $\cos(\theta_{\pi^+}) > 0.3$ and $\cos(\theta_\mu) > 0.3$.

Unfolded $\nu_\mu$ CC1$\pi^+$ differential cross section as a function of $E_\nu^{\rm rec}$ ($\mu$, $\pi$) in the reduced phase-space of $p_{\pi^+} > 200$ MeV/$c$, $p_\mu > 200$ MeV/c, $\cos(\theta_{\pi^+}) > 0.3$ and $\cos(\theta_\mu) > 0.3$.

Flux-integrated differential $\nu_{e}$ CCQE-like cross section versus electron angle.

Covariance matrix for flux-integrated differential $\nu_{e}$ CCQE-like cross section versus electron angle.

The flux-integrated differential $\nu_{e}$ CCQE-like cross section versus $Q^{2}_{\rm QE}$.

Covariance matrix for the flux-integrated differential $\nu_{e}$ CCQE-like cross section versus $Q^{2}_{\rm QE}$.

The ratio of the MINERvA $\nu_{e}$ CCQE differential cross section as a function of $Q^2_{\rm QE}$ to the analogous result from MINERvA for $\nu_{\mu}$ [Phys.Rev.Lett. 111 (2013) 022502].

Covariance matrix for the ratio of the MINERvA $\nu_{e}$ CCQE differential cross section as a function of $Q^2_{\rm QE}$ to the analogous result from MINERvA for $\nu_{\mu}$ [Phys.Rev.Lett. 111 (2013) 022502].

The effective exponential slope, $b_n$, obtained from the fit of double differential photoproduction cross sections ${\rm d^2}\sigma_{\gamma p}/{\rm d}x_L{\rm d}p_{T,n}^2$ to a single exponential function in bins of $x_L$. The first uncertainty represents the fit error from the statistical and uncorrelated systematic uncertainty and the second one is due to the correlated systematic uncertainty.

Energy dependence of the exclusive photoproduction of a $\rho^0$ meson associated with a leading neutron, $\gamma p \to \rho^0 n \pi^+$. The first uncertainty is statistical and the second is systematic. The global normalisation uncertainty of $4.4\%$ is not included. $\Phi_{\gamma}$ is the integral of the photon flux, Eq. (3) of paper, in a given $W_{\gamma p}$ bin.

Differential photoproduction cross section ${\rm d}\sigma_{\gamma p}/{\rm d}\eta$ for the exclusive process $\gamma p \to \rho^0 n \pi^+$ as a function of the $\rho^0$ pseudorapidity in the kinematic range $0.35 < x_L < 0.95$, $\theta_n < 0.75$ mrad and $20 < W_{\gamma p} < 100$ GeV. The statistical, uncorrelated and correlated systematic uncertainties, $\delta_{stat}$, $\delta_{sys}^{unc}$ and $\delta_{sys}^{cor}$ respectively, are given, which does not include the global normalisation error of $4.4\%$.

Differential photoproduction cross section ${\rm d}\sigma_{\gamma p}/{\rm d}t^{\prime}$ for the exclusive process $\gamma p \to \rho^0 n \pi^+$ as a function of the $\rho^0$ four-momentum transfer squared, $t^{\prime}$, in the kinematic range $0.35 < x_L < 0.95$, $\theta_n < 0.75$ mrad and $20 < W_{\gamma p} < 100$ GeV. The statistical, uncorrelated and correlated systematic uncertainties, $\delta_{stat}$, $\delta_{sys}^{unc}$ and $\delta_{sys}^{cor}$ respectively, are given, which does not include the global normalisation error of $4.4\%$.

Exponential slopes, $b_1$ and $b_2$, and the ratio $\sigma_1/\sigma_2$, obtained from the components of fit, Eq. (14) of paper, to the differential cross section ${\rm d}\sigma_{\gamma p}/{\rm d}t^{\prime}$ in bins of $x_L$. The errors represent the statistical and systematic uncertainties added in quadrature.

Exponential slopes, $b_1$ and $b_2$, and the ratio $\sigma_1/\sigma_2$, obtained from the components of fit, Eq. (14) of paper, to the differential cross section ${\rm d}\sigma_{\gamma p}/{\rm d}t^{\prime}$ in bins of $p_{T,n}^2$. The errors represent the statistical and systematic uncertainties added in quadrature.

Energy dependence of elastic $\rho^0$ photoproduction on the pion, $\gamma \pi^+ \to \rho^0 \pi^+$, extracted in the one-pion-exchange approximation using OPE1 sample. The first uncertainty represents the full experimental error and the second is the model error coming from the pion flux uncertainty (see text). $\Gamma_\pi(x_L)$ represents the value of the pion flux, Eqs. (5-6) of paper, integrated over the $p_{T,n}<0.2$ GeV range, at a given $x_L$.

Cross section of elastic $\rho^0$ photoproduction on the pion, $\gamma \pi^+ \to \rho^0 \pi^+$, extracted in the one-pion-exchange approximation using three different samples: full sample, OPE1 and OPE2. The first uncertainty represents the full experimental error and the second is the model error coming from the pion flux uncertainty (see text). $\Gamma_\pi$ represents the value of the pion flux, Eqs. (5-6) of paper, integrated over the corresponding $(x_L,p_{T,n})$ range.

The combined differential $D^{*\pm}$-production cross section as a function of $Q^2$, with its uncorrelated and correlated uncertainties.

The combined differential $D^{*\pm}$-production cross section as a function of $y$, with its uncorrelated and correlated uncertainties.

The combined double-differential $D^{*\pm}$-production cross section as a function of $Q^2$ and $y$, with its uncorrelated and correlated uncertainties.

Bin averaged hadron level differential cross sections as a function of the variable $z_{I\!\!P}$ for diffractive dijet DIS. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations and the radiative corrections ($1+\delta_{\text{rad}}$) are also listed. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential cross sections as a function of the variable $x_{I\!\!P}$ for diffractive dijet DIS. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations and the radiative corrections ($1+\delta_{\text{rad}}$) are also listed. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential cross sections as a function of the variable $y$ for diffractive dijet DIS. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations and the radiative corrections ($1+\delta_{\text{rad}}$) are also listed. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential cross sections as a function of the variable $Q^2$ for diffractive dijet DIS. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations and the radiative corrections ($1+\delta_{\text{rad}}$) are also listed. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential cross sections for diffractive dijet DIS as a function of the variable $E_T^{*\text{jet1}}$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations and the the radiative corrections ($1+\delta_{\text{rad}}$) are also listed. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential cross sections for diffractive dijet DIS as a function of the variable $M_X$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations and the the radiative corrections ($1+\delta_{\text{rad}}$) are also listed. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential cross sections for diffractive dijet DIS as a function of the variable $\vert\Delta\eta^{\text{jets}}\vert$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations and the the radiative corrections ($1+\delta_{\text{rad}}$) are also listed. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential cross sections for diffractive dijet DIS as a function of the variable $\langle\eta^{\text{jets}}\rangle$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations and the the radiative corrections ($1+\delta_{\text{rad}}$) are also listed. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential diffractive dijet $ep$ cross sections as a function of the variable $z_{I\!\!P}$ for the dijet photoproduction kinematic range. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential diffractive dijet $ep$ cross sections as a function of the variable $x_{I\!\!P}$ for the dijet photoproduction kinematic range. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential diffractive dijet $ep$ cross sections as a function of the variable $y$ for the dijet photoproduction kinematic range. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential diffractive dijet $ep$ cross sections as a function of the variable $x_\gamma$ for the dijet photoproduction kinematic range. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential diffractive dijet $ep$ cross sections in the photoproduction kinematic range as a function of the variable $E_T^{*\text{jet1}}$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential diffractive dijet $ep$ cross sections in the photoproduction kinematic range as a function of the variable $M_X$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential diffractive dijet $ep$ cross sections in the photoproduction kinematic range as a function of the variable $\vert\Delta\eta^{\text{jets}}\vert$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential diffractive dijet $ep$ cross sections in the photoproduction kinematic range as a function of the variable $\langle\eta^{\text{jets}}\rangle$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given. The overall normalisation uncertainty of $6\%$ is not included in the table.

Ratios of differential diffractive dijet $ep$ cross sections, measured in photoproduction, to measurements in DIS as a function of the variable $\vert\Delta\eta^{\text{jets}}\vert$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given.

Ratios of differential diffractive dijet $ep$ cross sections, measured in photoproduction, to measurements in DIS as a function of the variable $y$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given.

Ratios of differential diffractive dijet $ep$ cross sections, measured in photoproduction, to measurements in DIS as a function of the variable $z_{I\!\!P}$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given.

Ratios of differential diffractive dijet $ep$ cross sections, measured in photoproduction, to measurements in DIS as a function of the variable $E_T^{*\text{jet1}}$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given.