Observed event yields and estimated backgrounds in the low- and high-mass control regions. The uncertainty in the background yield is the sum in quadrature of the statistical and systematic uncertainties.

Summary of the relative systematic uncertainties in heavy Majorana neutrino signal yields and the background from prompt same-sign leptons, both estimated from simulation. The relative systematic uncertainties assigned to the data-driven backgrounds for the misidentified lepton background and mismeasured charge background are also shown. The uncertainties are given for the low-mass selections.

Summary of the relative systematic uncertainties in heavy Majorana neutrino signal yields and the background from prompt same-sign leptons, both estimated from simulation. The relative systematic uncertainties assigned to the data-driven backgrounds for the misidentified lepton background and mismeasured charge background are also shown. The uncertainties are given for the high-mass selections.

Summary of contributions to the systematic uncertainty related to the prompt same-sign leptons background, misidentified lepton background, and mismeasured charge background on the total background uncertainty for the case of $m_{\rm N}$ = 100 and 500 GeV.

Observed event yields and estimated backgrounds after the application of all selection, except for the final optimization. The background predictions from prompt same-sign leptons (Prompt bkgd.), misidentified leptons (Misid. bkgd.), mismeasured charge (Charge mismeas. bkgd.) and the total background (Total bkgd.) are shown together withthe number of events observed in data. The uncertainties shown are the statistical and systematic components, respectively.

Dielectron channel results after final optimization. The background predictions from prompt same-sign leptons, misidentified leptons, and mismeasured charge are shown along with the total background estimate and the number of events observed in data. The uncertainties shown are the statistical and systematic components, respectively.

Electron-muon channel results after final optimization. The background predictions from prompt same-sign leptons and misidentified leptons are shown along with the total background estimate and the number of events observed in data. The uncertainties shown are the statistical and systematic components, respectively.

Charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 8000 GeV as a function of transverse momentum for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 8000 GeV as a function of transverse momentum for events with the number of charged particles >=1 having transverse momentum >500 MeV and absolute(pseudorapidity) <2.5.

Charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 8000 GeV as a function of transverse momentum for events with the number of charged particles >=6 having transverse momentum >500 MeV and absolute(pseudorapidity) <2.5.

Charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 8000 GeV as a function of transverse momentum for events with the number of charged particles >=20 having transverse momentum >500 MeV and absolute(pseudorapidity) <2.5.

Charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 8000 GeV as a function of transverse momentum for events with the number of charged particles >=50 having transverse momentum >500 MeV and absolute(pseudorapidity) <2.5.

Charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 8000 GeV as a function of pseudorapidity for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 8000 GeV as a function of pseudorapidity for events with the number of charged particles >=1 having transverse momentum >500 MeV and absolute(pseudorapidity) <2.5.

Charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 8000 GeV as a function of pseudorapidity for events with the number of charged particles >=6 having transverse momentum >500 MeV and absolute(pseudorapidity) <2.5.

Charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 8000 GeV as a function of pseudorapidity for events with the number of charged particles >=20 having transverse momentum >500 MeV and absolute(pseudorapidity) <2.5.

Charged-particle multiplicities in proton-proton collisions at a centre-of mass energy of 8000 GeV as a function of pseudorapidity for events with the number of charged particles >=50 having transverse momentum >500 MeV and absolute(pseudorapidity) <2.5.

Average transverse momentum in proton-proton collisions at a centre-of mass energy of 8000 GeV as a function of the number of charged particles in the event for events with the number of charged particles >=2 having transverse momentum >100 MeV and absolute(pseudorapidity) <2.5.

Average transverse momentum in proton-proton collisions at a centre-of mass energy of 8000 GeV as a function of the number of charged particles in the event for events with the number of charged particles >=1 having transverse momentum >500 MeV and absolute(pseudorapidity) <2.5.

$\Upsilon$(nS) polarization parameter $\tilde\lambda$ in the HX frame for $p_T$ of 10 to 15 GeV. The global uncertainties, independent of state and $N_{ch}$ bin, are also indicated.

$\Upsilon$(nS) polarization parameter $\lambda_\vartheta$ in the HX frame for $p_T$ of 15 to 35 GeV. The global uncertainties, independent of state and $N_{ch}$ bin, are also indicated.

$\Upsilon$(nS) polarization parameter $\lambda_\varphi$ in the HX frame for $p_T$ of 15 to 35 GeV. The global uncertainties, independent of state and $N_{ch}$ bin, are also indicated.

$\Upsilon$(nS) polarization parameter $\lambda_{\vartheta\varphi}$ in the HX frame for $p_T$ of 15 to 35 GeV. The global uncertainties, independent of state and $N_{ch}$ bin, are also indicated.

$\Upsilon$(nS) polarization parameter $\tilde\lambda$ in the HX frame for $p_T$ of 15 to 35 GeV. The global uncertainties, independent of state and $N_{ch}$ bin, are also indicated.

The jet-like yield in $\mid\Delta\eta\mid<$0.78 as a function of $p_T^{trigger}$ for $K_S^0$-h and $\Lambda$-h correlations for 1.5 GeV/$c$ < $p_T^{associated}$ < $p_T^{trigger}$ in minimum bias $d$+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. Statistical errors listed in table. 5.4% systematic error on all points.

The jet-like yield in $\mid\Delta\eta\mid<$0.78 as a function of $p_T^{trigger}$ for $K_S^0$-h and $\Lambda$-h correlations for 1.5 GeV/$c$ < $p_T^{associated}$ < $p_T^{trigger}$ in 0-60% Cu+Cu collisions at $\sqrt{s_{NN}}$ = 200 GeV. Statistical errors listed in table. 5.4% systematic error on all points.

The jet-like yield in $\mid\Delta\eta\mid<$0.78 as a function of $p_T^{trigger}$ for $K_S^0$-h and $\Lambda$-h correlations for 1.5 GeV/$c$ < $p_T^{associated}$ < $p_T^{trigger}$ in 40-80% Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. Statistical errors listed in table. 5.4% systematic error on all points.

The jet-like yield in $\mid\Delta\eta\mid<$0.78 as a function of $p_T^{trigger}$ for $K_S^0$-h and $\Lambda$-h correlations for 1.5 GeV/$c$ < $p_T^{associated}$ < $p_T^{trigger}$ in 0-12% Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. Statistical errors listed in table. 5.4% systematic error on all points.

Centrality dependence of the jet-like yield of $K_S^0$-h and $\Lambda$-h correlations for 3 < $p_T^{trigger}$ < 6 GeV/$c$ and 1.5 GeV/$c$ < $p_T^{associated}$ < $p_T^{trigger}$ in Cu+Cu collisions at $\sqrt{s_{NN}}$ = 200 GeV. 5.4% systematic error on all points.

Centrality dependence of the jet-like yield of $K_S^0$-h and $\Lambda$-h correlations for 3 < $p_T^{trigger}$ < 6 GeV/$c$ and 1.5 GeV/$c$ < $p_T^{associated}$ < $p_T^{trigger}$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. 5.4% systematic error on all points.

Centrality dependence of the jet-like yield of $K_S^0$-h and $\Lambda$-h correlations for 3 < $p_T^{trigger}$ < 6 GeV/$c$ and 1.5 GeV/$c$ < $p_T^{associated}$ < $p_T^{trigger}$ in $d$+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. 5.4% systematic error on all points.

Centrality dependence of the jet-like yield of $K_S^0$-h and $\Lambda$-h correlations for 3 < $p_T^{trigger}$ < 6 GeV/$c$ and 1.5 GeV/$c$ < $p_T^{associated}$ < $p_T^{trigger}$ in minimum bias $d$+Au and 0-60% central Cu+Cu collisions at $\sqrt{s_{NN}}$ = 200 GeV. 5.4% systematic error on all points.

Systematic covariance matrix for the 6 bins of the normalized differential cross section as a function of $\Delta|y_\mathrm{t}|$.

Values of the 12 bins of the normalized differential cross section as a function of $\Delta|\eta_{\ell}|$.

Statistical covariance matrix for the 12 bins of the normalized differential cross section as a function of $\Delta|\eta_{\ell}|$.

Systematic covariance matrix for the 12 bins of the normalized differential cross section as a function of $\Delta|\eta_{\ell}|$.

Values of $A_{\mathrm{C}}$ in the 3 bins of $M_\mathrm{t\bar{t}}$, and inclusively (bottom row). The value 9999 is used as a placeholder for infinity.

Statistical correlation matrix for $A_{\mathrm{C}}$ in the 3 bins of $M_\mathrm{t\bar{t}}$.

Systematic correlation matrix for $A_{\mathrm{C}}$ in the 3 bins of $M_\mathrm{t\bar{t}}$.

Fraction of events in each of the $6\times3$ bins of the normalized differential cross section as a function of $\Delta|y_\mathrm{t}|$ and $M_\mathrm{t\bar{t}}$. The value 9999 is used as a placeholder for infinity.

Statistical covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\Delta|y_\mathrm{t}|$ and $M_\mathrm{t\bar{t}}$.

Systematic covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\Delta|y_\mathrm{t}|$ and $M_\mathrm{t\bar{t}}$.

Values of $A^{\mathrm{lep}}_{\mathrm{C}}$ in the 3 bins of $M_\mathrm{t\bar{t}}$, and inclusively (bottom row). The value 9999 is used as a placeholder for infinity.

Statistical correlation matrix for $A^{\mathrm{lep}}_{\mathrm{C}}$ in the 3 bins of $M_\mathrm{t\bar{t}}$.

Systematic correlation matrix for $A^{\mathrm{lep}}_{\mathrm{C}}$ in the 3 bins of $M_\mathrm{t\bar{t}}$.

Fraction of events in each of the $12\times3$ bins of the normalized differential cross section as a function of $\Delta|\eta_{\ell}|$ and $M_\mathrm{t\bar{t}}$. The value 9999 is used as a placeholder for infinity.

Statistical covariance matrix for the $12\times3$ bins of the normalized differential cross section as a function of $\Delta|\eta_{\ell}|$ and $M_\mathrm{t\bar{t}}$.

Systematic covariance matrix for the $12\times3$ bins of the normalized differential cross section as a function of $\Delta|\eta_{\ell}|$ and $M_\mathrm{t\bar{t}}$.

Values of $A_{\mathrm{C}}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$, and inclusively (bottom row). The value 9999 is used as a placeholder for infinity.

Statistical correlation matrix for $A_{\mathrm{C}}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Systematic correlation matrix for $A_{\mathrm{C}}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Fraction of events in each of the $6\times3$ bins of the normalized differential cross section as a function of $\Delta|y_\mathrm{t}|$ and $p_\mathrm{T}^\mathrm{t\bar{t}}$. The value 9999 is used as a placeholder for infinity.

Statistical covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\Delta|y_\mathrm{t}|$ and $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Systematic covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\Delta|y_\mathrm{t}|$ and $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Values of $A^{\mathrm{lep}}_{\mathrm{C}}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$, and inclusively (bottom row). The value 9999 is used as a placeholder for infinity.

Statistical correlation matrix for $A^{\mathrm{lep}}_{\mathrm{C}}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Systematic correlation matrix for $A^{\mathrm{lep}}_{\mathrm{C}}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Fraction of events in each of the $12\times3$ bins of the normalized differential cross section as a function of $\Delta|\eta_{\ell}|$ and $p_\mathrm{T}^\mathrm{t\bar{t}}$. The value 9999 is used as a placeholder for infinity.

Statistical covariance matrix for the $12\times3$ bins of the normalized differential cross section as a function of $\Delta|\eta_{\ell}|$ and $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Systematic covariance matrix for the $12\times3$ bins of the normalized differential cross section as a function of $\Delta|\eta_{\ell}|$ and $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Values of $A_{\mathrm{C}}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$, and inclusively (bottom row). The value 9999 is used as a placeholder for infinity.

Statistical correlation matrix for $A_{\mathrm{C}}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$.

Systematic correlation matrix for $A_{\mathrm{C}}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$.

Fraction of events in each of the $6\times3$ bins of the normalized differential cross section as a function of $\Delta|y_\mathrm{t}|$ and $|y_\mathrm{t\bar{t}}|$. The value 9999 is used as a placeholder for infinity.

Statistical covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\Delta|y_\mathrm{t}|$ and $|y_\mathrm{t\bar{t}}|$.

Systematic covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\Delta|y_\mathrm{t}|$ and $|y_\mathrm{t\bar{t}}|$.

Values of $A^{\mathrm{lep}}_{\mathrm{C}}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$, and inclusively (bottom row). The value 9999 is used as a placeholder for infinity.

Statistical correlation matrix for $A^{\mathrm{lep}}_{\mathrm{C}}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$.

Systematic correlation matrix for $A^{\mathrm{lep}}_{\mathrm{C}}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$.

Fraction of events in each of the $12\times3$ bins of the normalized differential cross section as a function of $\Delta|\eta_{\ell}|$ and $|y_\mathrm{t\bar{t}}|$. The value 9999 is used as a placeholder for infinity.

Statistical covariance matrix for the $12\times3$ bins of the normalized differential cross section as a function of $\Delta|\eta_{\ell}|$ and $|y_\mathrm{t\bar{t}}|$.

Systematic covariance matrix for the $12\times3$ bins of the normalized differential cross section as a function of $\Delta|\eta_{\ell}|$ and $|y_\mathrm{t\bar{t}}|$.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 60 to 80 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 80 to 100 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 100 to 140 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 140 to 180 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 180 to 220 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 220 to 260 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 260 to 300 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 300 to 340 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 0 to 20 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 20 to 40 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 40 to 60 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 60 to 80 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 80 to 100 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 100 to 140 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 140 to 180 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 180 to 220 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 220 to 260 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 260 to 300 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 300 to 340 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 0 to 20 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 20 to 40 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 40 to 60 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 60 to 80 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 80 to 100 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 100 to 140 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 140 to 180 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 180 to 220 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 220 to 260 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 260 to 300 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 300 to 340 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 0 to 20 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 20 to 40 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 40 to 60 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 60 to 80 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 80 to 100 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 100 to 140 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 140 to 180 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 180 to 220 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 220 to 260 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 260 to 300 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 300 to 340 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 0 to 20 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 20 to 40 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 40 to 60 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 60 to 80 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 80 to 100 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 100 to 140 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 140 to 180 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 180 to 220 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 220 to 260 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 260 to 300 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 300 to 340 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 0 to 20 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 20 to 40 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 40 to 60 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 60 to 80 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 80 to 100 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 100 to 140 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 140 to 180 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 180 to 220 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 220 to 260 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 260 to 300 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.

Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 300 to 340 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 0 to 20 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 20 to 40 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 40 to 60 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 60 to 80 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 80 to 100 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 100 to 140 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 140 to 180 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 180 to 220 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 220 to 260 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 260 to 300 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 300 to 340 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 0 to 20 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 20 to 40 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 40 to 60 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 60 to 80 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 80 to 100 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 100 to 140 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 140 to 180 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 180 to 220 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 220 to 260 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 260 to 300 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 300 to 340 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 0 to 20 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 20 to 40 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 40 to 60 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 60 to 80 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 80 to 100 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 100 to 140 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 140 to 180 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 180 to 220 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 220 to 260 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 260 to 300 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 300 to 340 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 0 to 20 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 20 to 40 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 40 to 60 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 60 to 80 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 80 to 100 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 100 to 140 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 140 to 180 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 180 to 220 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 220 to 260 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 260 to 300 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 300 to 340 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 0 to 20 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 20 to 40 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 40 to 60 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 60 to 80 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 80 to 100 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 100 to 140 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 140 to 180 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 180 to 220 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 220 to 260 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 260 to 300 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 300 to 340 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 0 to 20 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 20 to 40 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 40 to 60 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 60 to 80 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 80 to 100 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 100 to 140 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 140 to 180 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 180 to 220 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 220 to 260 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 260 to 300 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.

Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 300 to 340 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.

Measured fiducial cross section times leptonic branching ratio for W+ production in the W+ -> mu+ nu final state.

Measured fiducial cross section times leptonic branching ratio for W- production in the W- -> mu- nubar final state.

Measured fiducial cross section times leptonic branching ratio for Z/gamma* production in the Z/gamma* -> mu+ mu- final state.

Measured fiducial cross-section ratios (lepton universality) R_{W} = sigma(W+/- -> e+/- nu/nubar)/sigma (W+/- -> mu+/- nu/nubar) and R_{Z} = sigma (Z/gamma^* -> e+ e-)/sigma (Z/gamma* -> mu+ mu-), and the correlation coefficient.

Measured fiducial cross section times leptonic branching ratio for W+ production in the combined W+ -> l+ nu (l = e, mu) final state.

Measured fiducial cross section times leptonic branching ratio for W- production in the combined W- -> l- nubar (l = e, mu) final state.

Measured fiducial cross section times leptonic branching ratio for W+/- production in the combined W+ -> l+ nu and W- -> l- nubar (l = e, mu) final state.

Measured fiducial cross section times leptonic branching ratio for Z/gamma* production in the combined Z/gamma* -> l+l- (l = e, mu) final state.

Measured total cross section times leptonic branching ratio for W+ production in the W+ -> e+ nu final state.

Measured total cross section times leptonic branching ratio for W- production in the W- -> e- nubar final state.

Measured total cross section times leptonic branching ratio for Z/gamma* production in the Z/gamma* -> e+ e- final state.

Measured total cross section times leptonic branching ratio for W+ production in the W+ -> mu+ nu final state.

Measured total cross section times leptonic branching ratio for W- production in the W- -> mu- nubar final state.

Measured total cross section times leptonic branching ratio for Z/gamma* production in the Z/gamma* -> mu+ mu- final state.

Measured total cross section times leptonic branching ratio for W+ production in the combined W+ -> l+ nu (l = e, mu) final state.

Measured total cross section times leptonic branching ratio for W- production in the combined W- -> l- nubar (l = e, mu) final state.

Measured total cross section times leptonic branching ratio for W+/- production in the combined W+ -> l+ nu and W- -> l- nubar (l = e, mu) final state.

Measured total cross section times leptonic branching ratio for Z/gamma* production in the combined Z/gamma* -> l+ l- (l = e, mu) final state.

Measured fiducial cross-section ratio R_{W+-/Z} = sigma (W+/- -> l+/- nu/nubar) / sigma (Z/gamma^* -> l+ l-) where (l = e, mu).

Measured fiducial cross-section ratio R_{W+/W-} = sigma (W+ -> l+ nu) / sigma (W- -> l- nubar) where (l = e, mu).

Correlation coefficients among (W- -> l- nubar), (W+ -> l+ nu), (Z/gamma^* -> l+ l-) where (l = e, mu) excluding the common normalisation uncertainty due to the luminosity calibration.