Observed yields in the boost_1_ge2J signal region category of the hh channel.

Observed yields in the boost_2 signal region category of the hh channel.

Observed yields in the boost_3 signal region category of the hh channel.

Observed yields in the ttH_0 signal region category of the hh channel.

Observed yields in the ttH_1 signal region category of the hh channel.

Observed yields in the VH_0 signal region category of the hh channel.

Observed yields in the VH_1 signal region category of the hh channel.

Observed yields in the VBF_0 signal region category of the hh channel.

Observed yields in the VBF_1 signal region category of the hh channel.

Observed yields in the boost_0_1J signal region category of the lh channel.

Observed yields in the boost_0_ge2J signal region category of the lh channel.

Observed yields in the boost_1_1J signal region category of the lh channel.

Observed yields in the boost_1_ge2J signal region category of the lh channel.

Observed yields in the boost_2 signal region category of the lh channel.

Observed yields in the boost_3 signal region category of the lh channel.

Observed yields in the VH_0 signal region category of the lh channel.

Observed yields in the VH_1 signal region category of the lh channel.

Observed yields in the VBF_0 signal region category of the lh channel.

Observed yields in the VBF_1 signal region category of the lh channel.

Observed yields in the boost_0_1J signal region category of the ll channel.

Observed yields in the boost_0_ge2J signal region category of the ll channel.

Observed yields in the boost_1_1J signal region category of the ll channel.

Observed yields in the boost_1_ge2J signal region category of the ll channel.

Observed yields in the boost_2 signal region category of the ll channel.

Observed yields in the boost_3 signal region category of the ll channel.

Observed yields in the VH_0 signal region category of the ll channel.

Observed yields in the VH_1 signal region category of the ll channel.

Observed yields in the VBF_0 signal region category of the ll channel.

Observed yields in the VBF_1 signal region category of the ll channel.

Best-fit values and uncertainties for the pp $\rightarrow H\rightarrow\tau\tau$ cross-section measurement and the measurement in the four dominant production modes. All measurements include the branching ratio of $H\rightarrow\tau\tau$ and are performed with true Higgs boson rapidity $|y_{H}|<2.5$. The SM predictions for each region, computed using the inclusive cross-section calculations and the simulated event samples are also shown. The contributions to the total uncertainty in the measurements from statistical (Stat. unc.) or systematic uncertainties (Syst. unc.) are given separately.

The measured correlations between each parameter of interest in the measurement of the cross-sections per production mode

Best-fit values and uncertainties for the $H\rightarrow\tau\tau$ cross-sections, in the reduced stage 1.2 STXS scheme. The EW production mode includes vector-boson fusion and qq$\rightarrow$V($\rightarrow$qq)H processes. All measurements include the branching ratio of $H\rightarrow\tau\tau$ and are performed with true Higgs boson rapidity $|y_{H}|<2.5$. The SM predictions for each region, computed using the inclusive cross-section calculations and the simulated event samples are also shown. The contributions to the total uncertainty in the measurements from statistical (Stat. unc.) or systematic uncertainties (Syst. unc.) are given separately. The asterisk symbol (*) indicates that the criteria for m$_{jj}$ only apply to events with at least two reconstructed jets.

The measured correlations between each pair of parameters of interest in the STXS measurement. The asterisk symbol (*) indicates that the criteria for mjj only apply to events with at least two reconstructed jets.

(Color online) Modulated sign correlations (msc) compared to the three-point correlator versus centrality for Au+Au collisions at $\sqrt{s_{NN}}$= 200 GeV. Shown with triangles is the msc, Eq. 5. The systematic uncertainties will be shown in detail in Fig. 7. Diamonds and circles show the three-point correlator, Eq. 1, and the grey bars reflect the conditions of $\Delta p_{T}$ > 0.15 GeV/c and $\Delta\eta$ > 0.15 applied to the three-point correlator, to be discussed in the text. For comparison, the model calculation of THERMINATOR [21] is also shown.

(Color online) The msc split into 2 composite parts versus centrality for Au+Au collisions at $\sqrt{s_{NN}}$= 200 GeV. Shaded areas represent the systematic uncertainty due to the event plane determination. For comparison with the $\Delta$msc term, we also put $−\nu_{2}/N$ and the model calculation of MEVSIM [24], to be described in the text.

(Color online) The msc split into 2 composite parts versus centrality for Au+Au collisions at $\sqrt{s_{NN}}$= 200 GeV. Shaded areas represent the systematic uncertainty due to the event plane determination. For comparison with the $\Delta$msc term, we also put $−\nu_{2}/N$ and the model calculation of MEVSIM [24], to be described in the text.

(Color online) Three-point correlations split up into out-of-plane $(\langle sin(\Delta\phi_{\alpha}) sin(\Delta\phi_{\beta})\rangle)$ and in-plane $(\langle cos(\Delta\phi_{\alpha}) cos(\Delta\phi_{\beta})\rangle)$ composite parts for 40 − 60% Au+Au collisions at $\sqrt{s_{NN}}$ GeV. (a)shows the correlations versus $\langle\eta\rangle$ = $(\eta_{\alpha}+\eta_{\beta})/2$. (b) shows the correlations versus $|\Delta\eta|$ = $|\eta_{\alpha}-\eta_{\beta}|$. Statistical errors are smaller than the symbol size. Systematic errors are given by the shaded bands and apply only to the difference of in-plane and out-of-plane parts.

(Color online) Three-point correlations split up into out-of-plane $(\langle sin(\Delta\phi_{\alpha}) sin(\Delta\phi_{\beta})\rangle)$ and in-plane $(\langle cos(\Delta\phi_{\alpha}) cos(\Delta\phi_{\beta})\rangle)$ composite parts for 40 − 60% Au+Au collisions at $\sqrt{s_{NN}}$ GeV. (a)shows the correlations versus $\langle\eta\rangle$ = $(\eta_{\alpha}+\eta_{\beta})/2$. (b) shows the correlations versus $|\Delta\eta|$ = $|\eta_{\alpha}-\eta_{\beta}|$. Statistical errors are smaller than the symbol size. Systematic errors are given by the shaded bands and apply only to the difference of in-plane and out-of-plane parts.

(Color online) Three-point correlations split up into out-of-plane and in-plane composite parts for 40 − 60% Au+Au collisions at $\sqrt{s_{NN}}$= 200 GeV. (a) shows the correlatios versus $\langle p_{T}\rangle$ = $(p_{T,\alpha}+p_{T,\beta})/2$. (b) shows the correlations versus $|\Delta p_{T}|$ = $|p_{T,\alpha}-p_{T,\beta}|$. Statistical errors are smaller than the symbol size. Systematic errors are given by the shaded bands and apply only to the difference of in-plane and out-of-plane parts.

(Color online) Three-point correlations split up into out-of-plane and in-plane composite parts for 40 − 60% Au+Au collisions at $\sqrt{s_{NN}}$= 200 GeV. (a) shows the correlatios versus $\langle p_{T}\rangle$ = $(p_{T,\alpha}+p_{T,\beta})/2$. (b) shows the correlations versus $|\Delta p_{T}|$ = $|p_{T,\alpha}-p_{T,\beta}|$. Statistical errors are smaller than the symbol size. Systematic errors are given by the shaded bands and apply only to the difference of in-plane and out-of-plane parts.