Figure 1

The $p_T$ distribution of the $W^{+}$ boson and its dependence on $Q_{\mathrm{cut}}$, chosen to be 15, 30 and 80 GeV (from top to bottom). The solid line shows the SHERPA prediction obtained with $n_{\max }=2$, the dashed line is the reference obtained as the mean of different $Q_{\mathrm{cut}}$ runs and the shaded (colored) lines underneath indicate the different multiplicity contributions. The lower part of the plots exhibits the normalized difference of the prediction with respect to the reference. Cuts and input parameters are specified in the appendices.Reuse & Permissions

Figure 2

The $p_T$ distribution of the $W^{+}{W}^{-}$ system under merging scale variation. The cut indicated through a vertical dashed-dotted line has been chosen as $Q_{\mathrm{cut}}=15$, 30 and 80 GeV (from top to bottom). The solid line shows the SHERPA prediction obtained with $n_{\max }=2$, the dashed line is the reference obtained as the mean of different $Q_{\mathrm{cut}}$ runs and the shaded (colored) lines underneath indicate the different multiplicity contributions. The lower part of the plots exhibits the normalized difference of the prediction with respect to the reference. Cuts and input parameters are specified in the appendices.Reuse & Permissions

Figure 3

Differential $1\to 0$ jet rate $Q_1$, $2\to 1$ jet rate $Q_2$ and $3\to 2$ jet rate $Q_3$ (left to right) for the SHERPA $n_{\max }=2$ configuration. The cut has been chosen to be 15, 30 and 80 GeV (from top to bottom). The solid line shows the total result, the dashed line is the reference obtained as the mean of different $Q_{\mathrm{cut}}$ runs and the shaded (colored) lines underneath indicate the different multiplicity contributions. The vertical dashed-dotted line indicates the separation cut position. The lower part in all plots pictures the normalized difference of the corresponding prediction with respect to the reference. For input parameters and cuts, see Apps. .Reuse & Permissions

Figure 4

The $p_T$ distribution of the $W^{+}$ boson in dependence on the variation of the maximal jet number. The comparison is to a (dashed) reference curve obtained with $n_{\max }^{\mathrm{ref}}=n_{\max }-1$. The cut has been chosen to be 15 GeV. In both plots the solid line shows the total result obtained with SHERPA. The shaded (colored) lines underneath indicate the different multiplicity contributions. The lower part in both plots visualizes the normalized difference of the corresponding prediction with respect to the reference. For input parameters and cuts, see Apps. .Reuse & Permissions

Figure 5

The $H_T$ distribution and its dependence on the variation of the maximal jet number. The separation cut has been chosen to be 15 GeV. The solid line shows the SHERPA prediction obtained with $n_{\max }=1$, the dashed and the dotted lines stand for the $n_{\max }=2$ and $n_{\max }=3$ prediction, respectively; the dashed-dotted curve pictures the pure shower performance of SHERPA starting off with the lowest order matrix element. The lower part of the plot shows the normalized differences with respect to the $n_{\max }=1$ case. For input parameters and cuts, see Apps. .Reuse & Permissions

Figure 6

SHERPA predictions of the inclusive $p_T$ of the associated jets considered in dependence on the variation of the maximal jet number. The spectra of the hardest and the second hardest jet are depicted in the upper and the lower panel, respectively. The jet resolution cut has been taken to be $15$ GeV. The solid line shows the result of the $n_{\max }=1$ sample, the dashed and the dotted lines stand for the $n_{\max }=2$ and $n_{\max }=3$ sample, respectively; the dashed-dotted curve depicts the pure shower performance. The lower part of the plot shows the normalized differences with respect to the $n_{\max }=1$ case. For the jet definition, the Run II $k_{\perp }$-algorithm with $R=0.7$ and $p_T^{\mathrm{jet}}>15\mathrm{GeV}$ has been used. For more details, see Apps. .Reuse & Permissions

Figure 7

The $p_T$ distribution of the $W^{+}$ boson under scale variations. All predictions stem from SHERPA with $n_{\max }=1$ and $Q_{\mathrm{cut}}=15\mathrm{GeV}$. The solid line shows the prediction under default scale choices for the merging procedure. For the dashed and the dotted curve, all scales for the coupling constants and PDFs have been multiplied by 0.5 and 2.0, respectively. The lower part of the plot presents the normalized differences with respect to the default choice. Input parameters and cuts are given in Apps. .Reuse & Permissions

Figure 8

The $H_T$ distribution and its dependence on the variation of ${\mu }_R$ and ${\mu }_F$ in the merging prescription. Fixing $n_{\max }=1$ and $Q_{\mathrm{cut}}=15\mathrm{GeV}$, the solid line shows the prediction under default scale choices. For the dashed and the dotted curve, all scales for the coupling constants and PDFs have been multiplied by 0.5 and 2.0, respectively. The lower part of the plot presents the normalized differences with respect to the default choice. Input parameters and analysis cuts are given in Apps. .Reuse & Permissions

Figure 9

The $p_T$ distribution of the $W$ pair under variation of ${\mu }_R$ and ${\mu }_F$. Fixing $n_{\max }=1$ and $Q_{\mathrm{cut}}=15\mathrm{GeV}$, the solid line shows the prediction under default scale choices. The dashed and the dotted curve is generated when all scales used for the coupling constants and PDFs have been multiplied by 0.5 and 2.0, respectively. The lower part of the plot presents the normalized differences with respect to the default choice. Input parameters (including a primordial $k_{\perp }$ smearing) and cuts are given in Apps. .Reuse & Permissions

Figure 10

Normalized $H_T$ distribution. SHERPA results are shown for $n_{\max }=1$ (bright solid line) and $n_{\max }=2$ (bright dashed line) and compared to the QCD NLO result of MCFM (solid line). The LO result with the same scale choice is depicted as a thin dashed line. A difference plot with the MCFM NLO prediction as reference is given within the figure.Reuse & Permissions

Figure 11

Normalized $H_T$ distribution. Here both, the renormalization and factorization scale of the NLO calculation have been varied in the range ${\mu }_R={\mu }_F=M_W\dots 4M_W$, indicated by the shaded area. These MCFM results are compared with the leading order result at ${\mu }_R={\mu }_F=2M_W$ (thin dashed line) and with the result of SHERPA where $n_{\max }=1$ (bright solid line). The lower part of the plot shows the normalized differences with respect to the SHERPA result.Reuse & Permissions

Figure 12

Normalized $H_T$ distribution in exclusive $p\overline{p}\to e^{+}{\mu }^{-}{\nu }_e{\overline{\nu }}_{\mu }$ production. The SHERPA result (bright solid line) is obtained with $n_{\max }=0$ and a parton shower constrained not to produce any extra jets. This result is compared with the MCFM result at NLO in ${\alpha }_s$ (solid line) and with the LO result (thin dashed line). The latter two are taken for the default scale choices. The lower part of the plot shows the normalized differences with respect to the NLO result obtained from MCFM.Reuse & Permissions

Figure 13

Normalized $p_T$ distribution of the $W$ pair. The MCFM result at ${\mu }_R={\mu }_F=M_W$ (thick line) is contrasted with the predictions made by SHERPA  both at the matrix-element level (dark solid line ) and at the parton-shower level with $n_{\max }=0$ (bright dotted line) and $n_{\max }=1$ (bright solid line). A primordial $k_{\perp }$ smearing has been used to obtain the SHERPA shower results.Reuse & Permissions

Figure 14

Normalized $\Delta {\Phi }_{WW}^{\star }$ distribution of the $W$ boson system. The MCFM result (thick line ) is contrasted with results from SHERPA at the parton-shower level with $n_{\max }=0$ (bright dotted line), $n_{\max }=1$ (bright solid line) and $n_{\max }=2$ (bright dashed line). Again a primordial $k_{\perp }$ smearing has been used. Additionally, the dashed curve represents a prediction obtained with MC@NLO. The lower part of the plot shows the normalized differences with respect to the result of MCFM.Reuse & Permissions

Figure 15

Normalized transverse momentum distribution of the $W^{+}$ boson. The results of SHERPA for $n_{\max }=1$ (bright solid line) and for $n_{\max }=2$ (bright dashed line) are compared with the QCD NLO result obtained by MCFM (solid line) and with the LO result (thin dashed line) for the default scale choices, i.e. ${\mu }_R={\mu }_F=M_W$. Within the plot the normalized differences with respect to the NLO result of MCFM are given.Reuse & Permissions

Figure 16

Normalized transverse momentum distribution of the $e^{+}$ produced in the decay of the $W^{+}$. The results of SHERPA for $n_{\max }=1$ (bright solid line) and for $n_{\max }=2$ (bright dashed line) are confronted with the QCD NLO result obtained by MCFM (solid line) and with the LO result (thin dashed line). For the latter two, the scales are again fixed according to the default choices, i.e. ${\mu }_R={\mu }_F=M_W$. Within the plot the normalized differences with respect to the NLO result of MCFM are shown.Reuse & Permissions

Figure 17

Normalized $\eta$ distribution of the $W^{+}$ boson. The SHERPA results for $n_{\max }=1$ (bright solid line) and $n_{\max }=2$ (bright dashed line) are confronted with those of MCFM (solid line) and with the LO result (thin dashed line). Again, in the latter two the scales are chosen as ${\mu }_R={\mu }_F=M_W$. The normalized differences with respect to the NLO result of MCFM are also shown.Reuse & Permissions

Figure 18

Normalized $\Delta R$ distribution between the two charged leptons, the positron and the muon, emerging from the $W$ decays. SHERPA results for $n_{\max }=1$ (bright solid line) and $n_{\max }=2$ (bright dashed line) are compared to those predicted by MCFM (solid line). The LO result with the same scale choice, is shown as a dashed line. The lower part of the plot shows the normalized differences with respect to the NLO result of MCFM.Reuse & Permissions

Figure 19

Normalized $H_T$ distribution obtained from PYTHIA (dotted line), MC@NLO (dashed line) and SHERPA (solid line). For the generation of the SHERPA sample, $n_{\max }=1$ and $Q_{\mathrm{cut}}=15\mathrm{GeV}$ have been chosen. The lower part of the plot exhibits the normalized differences with respect to the SHERPA prediction. Input parameters and the employed cuts are specified in the Apps.  .Reuse & Permissions

Figure 20

Normalized $p_T$ distribution of the $W^{+}{W}^{-}$ system. Results from PYTHIA (dotted line), MC@NLO (dashed line) and SHERPA (solid line) are compared. For the generation of the latter, $n_{\max }=1$ and $Q_{\mathrm{cut}}=15\mathrm{GeV}$ have been chosen. The lower part of the plot presents the normalized differences with respect to the SHERPA prediction. Input parameters (including a primordial $k_{\perp }$ smearing) and the employed cuts are specified in the Apps. .Reuse & Permissions

Figure 21

Difference of the scalar transverse momenta of the two $W$ bosons, $|p_T^{W^{+}}-p_T^{W^{-}}|$. The predictions compared are: PYTHIA given as a dotted curve, MC@NLO depicted by the dashed line and SHERPA in inclusive 1jet production at $Q_{\mathrm{cut}}=15\mathrm{GeV}$ drawn as a bright solid line as well as SHERPA in pure shower performance shown as a solid line. The lower part of the plot shows the normalized differences with respect to the SHERPA prediction with $n_{\max }=1$. Input parameters and the employed cuts are summarized in the Apps. .Reuse & Permissions

Figure 22

Transverse momentum distributions of the associated jets, in the upper panel, the inclusive $p_T$ of the hardest jet is depicted, whereas in the lower panel that one of the second hardest jet is displayed. Again, results from PYTHIA are given by the dotted lines, MC@NLO results are represented as dashed lines and SHERPA results are the solid lines. For the generation of the latter, $n_{\max }=1$ and $Q_{\mathrm{cut}}=15\mathrm{GeV}$ have been used. The top solid line in the lower panel corresponds to the SHERPA result obtained with $n_{\max }=2$. The lower part of both plots shows the normalized differences with respect to the SHERPA $n_{\max }=1$ performance. The input parameters and the employed cuts are summarized in the Apps. .Reuse & Permissions

Figure 23

Normalized $p_T$ spectrum of the positron. Results of PYTHIA (dotted line) and SHERPA (solid line) including spin correlations are confronted with those obtained from MC@NLO (dashed line) and with results from SHERPA, where spin correlations have been switched off (bright dashed line). All predictions are generated without the use of cuts. The vertical dashed-dotted line is added to indicate the position of the usually employed lepton $p_T$ cut. For input parameters, see App. . The lower part of the plot shows the normalized differences with respect to the SHERPA prediction including spin correlations.Reuse & Permissions

Figure 24

Normalized $\eta$ spectrum of the positron. Results of PYTHIA (dotted line) and SHERPA (solid line) including spin correlations are compared with those obtained from MC@NLO (dashed line) and with results from SHERPA, where spin correlations have been switched off (bright dashed line). All predictions are generated without any restriction. The vertical dashed-dotted lines are added to indicate the position of the usually employed lepton $\eta$ cuts. For input parameters, see App. . The lower part of the plot shows the normalized differences with respect to the SHERPA prediction including spin correlations.Reuse & Permissions

Figure 25

Normalized $\Delta {\varphi }_{e\mu }$ distribution. Results of PYTHIA (dotted line) and SHERPA (solid line) including spin correlations are compared with those obtained from MC@NLO (dashed line) and with results from SHERPA, where spin correlations have been switched off (bright dashed line). All predictions are obtained without the use of cuts. For input parameters, see App. . The lower part of the plot shows the normalized differences with respect to the SHERPA prediction including spin correlations.Reuse & Permissions

Figure 26

Normalized $\Delta R_{e\mu }$ distribution. Results of PYTHIA (dotted line) and SHERPA (solid line) including spin correlations are compared with those obtained from MC@NLO (dashed line) and with results from SHERPA, where spin correlations have been eliminated (bright dashed line). All predictions are obtained without the use of cuts. For input parameters, see App. . The lower part of the plot shows the normalized differences with respect to the SHERPA prediction including spin correlations.Reuse & Permissions

Figure 27

In the left and middle panel the $p_T$ spectrum of the $W^{+}$ before and after the application of cuts is depicted, respectively. The right panel exhibits the $\eta$ distribution of the $W^{+}$ under the influence of these cuts. The predictions compared are: PYTHIA (dotted line), SHERPA (solid line), MC@NLO (dashed line) and SHERPA without correlations in the boson decays (bright dashed line). For input parameters, see App. . The lower part of the plots shows the normalized differences with respect to the SHERPA prediction including spin correlations.Reuse & Permissions