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| CMS-HIG-15-007 ; CERN-EP-2017-307 | ||
| Measurement of the $\mathrm{Z}/\gamma^{*} \to \tau\tau$ cross section in pp collisions at $\sqrt{s} = $ 13 TeV and validation of $\tau$ lepton analysis techniques | ||
| CMS Collaboration | ||
| 10 January 2018 | ||
| Eur. Phys. J. C 78 (2018) 708 | ||
| Abstract: A measurement is presented of the $\mathrm{Z}/\gamma^{*} \to \tau\tau$ cross section in pp collisions at $\sqrt{s} = $ 13 TeV, using data recorded by the CMS experiment at the LHC, corresponding to an integrated luminosity of 2.3 fb$^{-1}$. The product of the inclusive cross section and branching fraction is measured to be $\sigma(\mathrm{pp} \to \mathrm{Z}/\gamma^{*}\text{+X}) \, \mathcal{B}(\mathrm{Z}/\gamma^{*} \to \tau\tau) = $ 1848 $\pm$ 12 (stat) $\pm$ 67 (syst+lumi) pb, in agreement with the standard model expectation, computed at next-to-next-to-leading order accuracy in perturbative quantum chromodynamics. The measurement is used to validate new analysis techniques relevant for future measurements of $\tau$ lepton production. The measurement also provides the reconstruction efficiency and energy scale for $\tau$ decays to hadrons+$\nu_{\tau}$ final states, determined with respective relative uncertainties of 2.2% and 0.9%. | ||
| Links: e-print arXiv:1801.03535 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; CADI line (restricted) ; | ||
| Figures | |
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Figure 1:
(Left) Construction of the projections $ {P_{\zeta}^{ \textrm {miss}}} $ and $ {P_{\zeta}^{ \textrm {vis}}} $, and (right) the distribution in the observable $ {P_{\zeta}^{ \textrm {miss}}} - 0.85 {P_{\zeta}^{ \textrm {vis}}} $ for events selected in the $ {{\tau}_{{\mathrm {e}}}} {{\tau}_{{{\mu}}}} $ channel, before imposing the condition $ {P_{\zeta}^{ \textrm {miss}}} - 0.85 {P_{\zeta}^{ \textrm {vis}}} > -20 GeV $. Also indicated is the separation of the background into its main components. The symbols $ {{\vec p}_{\mathrm {T}}} ^{\ {{\nu}}({\mathrm {e}})}$ and $ {{\vec p}_{\mathrm {T}}} ^{\ {{\nu}}({{\mu}})}$ refer to the vectorial sum of transverse momenta of the two neutrinos produced in each of the decays $ {\tau}\to {\mathrm {e}} {{\nu}} {{\nu}}$ and $ {\tau}\to {{\mu}} {{\nu}} {{\nu}}$, respectively. |
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Figure 1-a:
Construction of the projections $ {P_{\zeta}^{ \textrm {miss}}} $ and $ {P_{\zeta}^{ \textrm {vis}}} $. The symbols $ {{\vec p}_{\mathrm {T}}} ^{\ {{\nu}}({\mathrm {e}})}$ and $ {{\vec p}_{\mathrm {T}}} ^{\ {{\nu}}({{\mu}})}$ refer to the vectorial sum of transverse momenta of the two neutrinos produced in each of the decays $ {\tau}\to {\mathrm {e}} {{\nu}} {{\nu}}$ and $ {\tau}\to {{\mu}} {{\nu}} {{\nu}}$, respectively. |
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Figure 1-b:
Distribution in the observable $ {P_{\zeta}^{ \textrm {miss}}} - 0.85 {P_{\zeta}^{ \textrm {vis}}} $ for events selected in the $ {{\tau}_{{\mathrm {e}}}} {{\tau}_{{{\mu}}}} $ channel, before imposing the condition $ {P_{\zeta}^{ \textrm {miss}}} - 0.85 {P_{\zeta}^{ \textrm {vis}}} > -20 GeV $. Also indicated is the separation of the background into its main components. |
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Figure 2:
Probabilities for gluon and quark jets of different flavour in simulated multijet events to be misidentified as $ {{\tau} _\mathrm {h}} $, as a function of jet $ {p_{\mathrm {T}}} $, for (left) jets passing $ {p_{\mathrm {T}}} > $ 20 GeV and $ | \eta | < $ 2.3, and (right) for jets passing in addition the minimal $ {{\tau} _\mathrm {h}} $ candidate selection criteria discussed in the text. |
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Figure 2-a:
Probabilities for gluon and quark jets of different flavour in simulated multijet events to be misidentified as $ {{\tau} _\mathrm {h}} $, as a function of jet $ {p_{\mathrm {T}}} $, for jets passing $ {p_{\mathrm {T}}} > $ 20 GeV and $ | \eta | < $ 2.3. |
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Figure 2-b:
Probabilities for gluon and quark jets of different flavour in simulated multijet events to be misidentified as $ {{\tau} _\mathrm {h}} $, as a function of jet $ {p_{\mathrm {T}}} $, for jets passing in addition the minimal $ {{\tau} _\mathrm {h}} $ candidate selection criteria discussed in the text. |
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Figure 3:
The $ {F_\textrm {F}}$ values measured in multijet events in the $ {{\tau}_{{\mathrm {e}}}} {{\tau} _\mathrm {h}} $ (upper), $ {{\tau}_{{{\mu}}}} {{\tau} _\mathrm {h}} $ (center), and $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ (lower) channels, presented in bins of jet multiplicity and $ {{\tau} _\mathrm {h}} $ decay mode, as a function of $ {{\tau} _\mathrm {h}} $ $ {p_{\mathrm {T}}} $. The abscissae of the points are offset to distinguish the points with different jet multiplicities. |
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Figure 3-a:
The $ {F_\textrm {F}}$ values measured in multijet events in the $ {{\tau}_{{\mathrm {e}}}} {{\tau} _\mathrm {h}} $ channel, presented in bins of jet multiplicity for 1-prong $ {{\tau} _\mathrm {h}} $ decay mode, as a function of $ {{\tau} _\mathrm {h}} $ $ {p_{\mathrm {T}}} $. The abscissae of the points are offset to distinguish the points with different jet multiplicities. |
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Figure 3-b:
The $ {F_\textrm {F}}$ values measured in multijet events in the $ {{\tau}_{{\mathrm {e}}}} {{\tau} _\mathrm {h}} $ channel, presented in bins of jet multiplicity for 3-prong $ {{\tau} _\mathrm {h}} $ decay mode, as a function of $ {{\tau} _\mathrm {h}} $ $ {p_{\mathrm {T}}} $. The abscissae of the points are offset to distinguish the points with different jet multiplicities. |
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Figure 3-c:
The $ {F_\textrm {F}}$ values measured in multijet events in the $ {{\tau}_{{{\mu}}}} {{\tau} _\mathrm {h}} $ channel, presented in bins of jet multiplicity for 1-prong $ {{\tau} _\mathrm {h}} $ decay mode, as a function of $ {{\tau} _\mathrm {h}} $ $ {p_{\mathrm {T}}} $. The abscissae of the points are offset to distinguish the points with different jet multiplicities. |
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Figure 3-d:
The $ {F_\textrm {F}}$ values measured in multijet events in the $ {{\tau}_{{{\mu}}}} {{\tau} _\mathrm {h}} $ channel, presented in bins of jet multiplicity for 3-prong $ {{\tau} _\mathrm {h}} $ decay mode, as a function of $ {{\tau} _\mathrm {h}} $ $ {p_{\mathrm {T}}} $. The abscissae of the points are offset to distinguish the points with different jet multiplicities. |
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Figure 3-e:
The $ {F_\textrm {F}}$ values measured in multijet events in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ channel, presented in bins of jet multiplicity for 1-prong $ {{\tau} _\mathrm {h}} $ decay mode, as a function of $ {{\tau} _\mathrm {h}} $ $ {p_{\mathrm {T}}} $. The abscissae of the points are offset to distinguish the points with different jet multiplicities. |
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Figure 3-f:
The $ {F_\textrm {F}}$ values measured in multijet events in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ channel, presented in bins of jet multiplicity for 3-prong $ {{\tau} _\mathrm {h}} $ decay mode, as a function of $ {{\tau} _\mathrm {h}} $ $ {p_{\mathrm {T}}} $. The abscissae of the points are offset to distinguish the points with different jet multiplicities. |
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Figure 4:
The $ {F_\textrm {F}}$ values measured in W+jets events in the $ {{\tau}_{{\mathrm {e}}}} {{\tau} _\mathrm {h}} $ (upper) and $ {{\tau}_{{{\mu}}}} {{\tau} _\mathrm {h}} $ (center) channels and in $ {\mathrm {t}} {\overline {\mathrm {t}}}$ events (lower), presented in bins of jet multiplicity and $ {{\tau} _\mathrm {h}} $ decay mode, as a function of $ {{\tau} _\mathrm {h}} $ ${p_{\mathrm {T}}} $. A common $ {\mathrm {t}} {\overline {\mathrm {t}}}$ MR is used for the $ {{\tau}_{{\mathrm {e}}}} {{\tau} _\mathrm {h}} $ and $ {{\tau}_{{{\mu}}}} {{\tau} _\mathrm {h}} $ channels. The abscissae of the points are offset to distinguish the points with different jet multiplicities. |
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Figure 4-a:
The $ {F_\textrm {F}}$ values measured in W+jets events in the $ {{\tau}_{{\mathrm {e}}}} {{\tau} _\mathrm {h}} $ channel ,presented in bins of jet multiplicity for the 1-prong $ {{\tau} _\mathrm {h}} $ decay mode, as a function of $ {{\tau} _\mathrm {h}} $ ${p_{\mathrm {T}}} $. A common $ {\mathrm {t}} {\overline {\mathrm {t}}}$ MR is used. The abscissae of the points are offset to distinguish the points with different jet multiplicities. |
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Figure 4-b:
The $ {F_\textrm {F}}$ values measured in W+jets events in |
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Figure 4-c:
The $ {F_\textrm {F}}$ values measured in W+jets events in the $ {{\tau}_{{{\mu}}}} {{\tau} _\mathrm {h}} $ channel, presented in bins of jet multiplicity for the 1-prong $ {{\tau} _\mathrm {h}} $ decay mode, as a function of $ {{\tau} _\mathrm {h}} $ ${p_{\mathrm {T}}} $. A common $ {\mathrm {t}} {\overline {\mathrm {t}}}$ MR is used. The abscissae of the points are offset to distinguish the points with different jet multiplicities. |
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Figure 4-d:
The $ {F_\textrm {F}}$ values measured in W+jets events in the $ {{\tau}_{{{\mu}}}} {{\tau} _\mathrm {h}} $ channel, presented in bins of jet multiplicity for the 3-prong $ {{\tau} _\mathrm {h}} $ decay mode, as a function of $ {{\tau} _\mathrm {h}} $ ${p_{\mathrm {T}}} $. A common $ {\mathrm {t}} {\overline {\mathrm {t}}}$ MR is used. The abscissae of the points are offset to distinguish the points with different jet multiplicities. |
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Figure 4-e:
The $ {F_\textrm {F}}$ values measured in W+jets events in $ {\mathrm {t}} {\overline {\mathrm {t}}}$ events, presented in bins of jet multiplicity for the 1 3-prong $ {{\tau} _\mathrm {h}} $ decay mode, as a function of $ {{\tau} _\mathrm {h}} $ ${p_{\mathrm {T}}} $. The abscissae of the points are offset to distinguish the points with different jet multiplicities. |
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Figure 4-f:
The $ {F_\textrm {F}}$ values measured in W+jets events in $ {\mathrm {t}} {\overline {\mathrm {t}}}$ events, presented in bins of jet multiplicity for the 1 3-prong $ {{\tau} _\mathrm {h}} $ decay mode, as a function of $ {{\tau} _\mathrm {h}} $ ${p_{\mathrm {T}}} $. The abscissae of the points are offset to distinguish the points with different jet multiplicities. |
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Figure 5:
Distributions in $m_{{\tau} {\tau}}$ for SS events containing (upper left) $ {\mathrm {e}} {{\tau} _\mathrm {h}} $, (upper right) $ {{\mu}} {{\tau} _\mathrm {h}} $, and (lower) $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ pairs, compared to expected background contributions. |
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Figure 5-a:
Distributions in $m_{{\tau} {\tau}}$ for SS events containing $ {\mathrm {e}} {{\tau} _\mathrm {h}} $, pairs, compared to expected background contributions. |
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Figure 5-b:
Distributions in $m_{{\tau} {\tau}}$ for SS events containing $ {{\mu}} {{\tau} _\mathrm {h}} $, pairs, compared to expected background contributions. |
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Figure 5-c:
Distributions in $m_{{\tau} {\tau}}$ for SS events containing $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ pairs, compared to expected background contributions. |
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Figure 6:
Distributions expected in $m_{{\tau} {\tau}}$ for $ {\mathrm {Z}}/ {{{\gamma}} ^{*}} \to {\tau} {\tau}$ signal events in the (left) $ {{\tau}_{{\mathrm {e}}}} {{\tau} _\mathrm {h}} $, (center) $ {{\tau}_{{{\mu}}}} {{\tau} _\mathrm {h}} $, and (right) $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ channels for the nominal value of the $ {{\tau} _\mathrm {h}} $ ES, and after implementing 3% systematic shift. |
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Figure 6-a:
Distributions expected in $m_{{\tau} {\tau}}$ for $ {\mathrm {Z}}/ {{{\gamma}} ^{*}} \to {\tau} {\tau}$ signal events in the $ {{\tau}_{{\mathrm {e}}}} {{\tau} _\mathrm {h}} $ channel for the nominal value of the $ {{\tau} _\mathrm {h}} $ ES, and after implementing 3% systematic shift. |
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Figure 6-b:
Distributions expected in $m_{{\tau} {\tau}}$ for $ {\mathrm {Z}}/ {{{\gamma}} ^{*}} \to {\tau} {\tau}$ signal events in the $ {{\tau}_{{{\mu}}}} {{\tau} _\mathrm {h}} $ channel for the nominal value of the $ {{\tau} _\mathrm {h}} $ ES, and after implementing 3% systematic shift. |
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Figure 6-c:
Distributions expected in $m_{{\tau} {\tau}}$ for $ {\mathrm {Z}}/ {{{\gamma}} ^{*}} \to {\tau} {\tau}$ signal events in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ channel for the nominal value of the $ {{\tau} _\mathrm {h}} $ ES, and after implementing 3% systematic shift. |
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Figure 7:
Distributions in $m_{{\tau} {\tau}}$ expected for the background arising from quark or gluon jets misidentified as $ {{\tau} _\mathrm {h}} $ in the (left) $ {{\tau}_{{\mathrm {e}}}} {{\tau} _\mathrm {h}} $, (center) $ {{\tau}_{{{\mu}}}} {{\tau} _\mathrm {h}} $, and (right) $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ channels, and the systematic uncertainty in the false-$ {{\tau} _\mathrm {h}} $ background estimate. The grey shaded band represents the quadratic sum of all systematic uncertainties related to the $ {F_\textrm {F}}$ method: uncertainties in the $ {F_\textrm {F}}$ measured in the multijet, W+jets, and $ {\mathrm {t}} {\overline {\mathrm {t}}}$ MR; uncertainties in the relative fractions of multijet, W+jets, and $ {\mathrm {t}} {\overline {\mathrm {t}}}$ backgrounds in the AR; and uncertainties in the non-closure corrections (described in Section 6.1. |
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Figure 7-a:
Distributions in $m_{{\tau} {\tau}}$ expected for the background arising from quark or gluon jets misidentified as $ {{\tau} _\mathrm {h}} $ in the $ {{\tau}_{{\mathrm {e}}}} {{\tau} _\mathrm {h}} $ channel, and the systematic uncertainty in the false-$ {{\tau} _\mathrm {h}} $ background estimate. The grey shaded band represents the quadratic sum of all systematic uncertainties related to the $ {F_\textrm {F}}$ method: uncertainties in the $ {F_\textrm {F}}$ measured in the multijet, W+jets, and $ {\mathrm {t}} {\overline {\mathrm {t}}}$ MR; uncertainties in the relative fractions of multijet, W+jets, and $ {\mathrm {t}} {\overline {\mathrm {t}}}$ backgrounds in the AR; and uncertainties in the non-closure corrections (described in Section 6.1. |
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Figure 7-b:
Distributions in $m_{{\tau} {\tau}}$ expected for the background arising from quark or gluon jets misidentified as $ {{\tau} _\mathrm {h}} $ in the $ {{\tau}_{{{\mu}}}} {{\tau} _\mathrm {h}} $ channel, and the systematic uncertainty in the false-$ {{\tau} _\mathrm {h}} $ background estimate. The grey shaded band represents the quadratic sum of all systematic uncertainties related to the $ {F_\textrm {F}}$ method: uncertainties in the $ {F_\textrm {F}}$ measured in the multijet, W+jets, and $ {\mathrm {t}} {\overline {\mathrm {t}}}$ MR; uncertainties in the relative fractions of multijet, W+jets, and $ {\mathrm {t}} {\overline {\mathrm {t}}}$ backgrounds in the AR; and uncertainties in the non-closure corrections (described in Section 6.1. |
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Figure 7-c:
Distributions in $m_{{\tau} {\tau}}$ expected for the background arising from quark or gluon jets misidentified as $ {{\tau} _\mathrm {h}} $ in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ channel, and the systematic uncertainty in the false-$ {{\tau} _\mathrm {h}} $ background estimate. The grey shaded band represents the quadratic sum of all systematic uncertainties related to the $ {F_\textrm {F}}$ method: uncertainties in the $ {F_\textrm {F}}$ measured in the multijet, W+jets, and $ {\mathrm {t}} {\overline {\mathrm {t}}}$ MR; uncertainties in the relative fractions of multijet, W+jets, and $ {\mathrm {t}} {\overline {\mathrm {t}}}$ backgrounds in the AR; and uncertainties in the non-closure corrections (described in Section 6.1. |
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Figure 8:
Dependence of $-2 \ln\lambda \left (\xi \right)$ on the cross section $\xi $ for DY production of $ {\tau}$ pairs. The PLR is computed for the simultaneous ML fit to the observed $m_{{\tau} {\tau}}$ distributions in the $ {{\tau}_{{\mathrm {e}}}} {{\tau} _\mathrm {h}} $, $ {{\tau}_{{{\mu}}}} {{\tau} _\mathrm {h}} $, $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $, $ {{\tau}_{{\mathrm {e}}}} {{\tau}_{{{\mu}}}} $, and $ {{\tau}_{{{\mu}}}} {{\tau}_{{{\mu}}}} $ channels. The dashed, dash-dotted, and solid curves correspond to situations when just the statistical uncertainties are used in the fit, when the uncertainty in integrated luminosity is also included, and when all uncertainties are included in the fit. The values of nuisance parameters, corresponding to uncertainties that are ignored, are fixed at the values that yield the best fit to the data. The horizontal line represents the value of $-2 \ln\lambda \left (\xi \right)$ that is used to determine the 68% CI on $\xi $. |
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Figure 9:
Distributions in $m_{{\tau} {\tau}}$ for events selected in the (upper left) $ {{\tau}_{{\mathrm {e}}}} {{\tau} _\mathrm {h}} $, (upper right) $ {{\tau}_{{{\mu}}}} {{\tau} _\mathrm {h}} $, and (lower) $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ channels. Signal and background contributions are shown for values of nuisance parameters obtained in the ML fit to the data. |
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Figure 9-a:
Distributions in $m_{{\tau} {\tau}}$ for events selected in the $ {{\tau}_{{\mathrm {e}}}} {{\tau} _\mathrm {h}} $ channel. Signal and background contributions are shown for values of nuisance parameters obtained in the ML fit to the data. |
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Figure 9-b:
Distributions in $m_{{\tau} {\tau}}$ for events selected in the $ {{\tau}_{{{\mu}}}} {{\tau} _\mathrm {h}} $ channel. Signal and background contributions are shown for values of nuisance parameters obtained in the ML fit to the data. |
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Figure 9-c:
Distributions in $m_{{\tau} {\tau}}$ for events selected in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ channel. Signal and background contributions are shown for values of nuisance parameters obtained in the ML fit to the data. |
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Figure 10:
Distributions in $m_{{\tau} {\tau}}$ for events selected in the (left) $ {{\tau}_{{\mathrm {e}}}} {{\tau}_{{{\mu}}}} $ and (right) $ {{\tau}_{{{\mu}}}} {{\tau}_{{{\mu}}}} $ channels. Signal and background contributions are shown for the values of nuisance parameters obtained in the ML fit to the data. |
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Figure 10-a:
Distributions in $m_{{\tau} {\tau}}$ for events selected in the $ {{\tau}_{{\mathrm {e}}}} {{\tau}_{{{\mu}}}} $ channel. Signal and background contributions are shown for the values of nuisance parameters obtained in the ML fit to the data. |
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Figure 10-b:
Distributions in $m_{{\tau} {\tau}}$ for events selected in the $ {{\tau}_{{{\mu}}}} {{\tau}_{{{\mu}}}} $ channel. Signal and background contributions are shown for the values of nuisance parameters obtained in the ML fit to the data. |
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Figure 11:
The inclusive cross section $\sigma ({\mathrm {p}} {\mathrm {p}}\to {\mathrm {Z}}/ {{{\gamma}} ^{*}} \text {+X}) \mathcal {B}({\mathrm {Z}}/ {{{\gamma}} ^{*}} \to {\tau} {\tau})$ measured in individual channels, and in the combination of all final states, compared to the theoretical prediction [60]. |
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Figure 12:
Likelihood contours for the joint parameter estimation of (upper left) $\sigma ({\mathrm {p}} {\mathrm {p}}\to {\mathrm {Z}}/ {{{\gamma}} ^{*}} \text {+X}) \mathcal {B}({\mathrm {Z}}/ {{{\gamma}} ^{*}} \to {\tau} {\tau})$ and the $ {{\tau} _\mathrm {h}} $ ID efficiency, (upper right) $\sigma ({\mathrm {p}} {\mathrm {p}}\to {\mathrm {Z}}/ {{{\gamma}} ^{*}} \text {+X}) \mathcal {B}({\mathrm {Z}}/ {{{\gamma}} ^{*}} \to {\tau} {\tau})$ and $ {{\tau} _\mathrm {h}} $ ES, and (lower) the $ {{\tau} _\mathrm {h}} $ ES and the $ {{\tau} _\mathrm {h}} $ ID efficiency, at $68$ and $95%$ confidence level (CL). The values of the $ {{\tau} _\mathrm {h}} $ ID efficiency and of $ {{\tau} _\mathrm {h}} $ ES are quoted in terms of scale factors (SF) relative to their standard model, MC expectation. |
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Figure 12-a:
Likelihood contours for the joint parameter estimation of $\sigma ({\mathrm {p}} {\mathrm {p}}\to {\mathrm {Z}}/ {{{\gamma}} ^{*}} \text {+X}) \mathcal {B}({\mathrm {Z}}/ {{{\gamma}} ^{*}} \to {\tau} {\tau})$ and the $ {{\tau} _\mathrm {h}} $ ID efficiency. The values of the $ {{\tau} _\mathrm {h}} $ ID efficiency are quoted in terms of a scale factor (SF) relative to the standard model, MC expectation. |
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Figure 12-b:
Likelihood contours for the joint parameter estimation of $\sigma ({\mathrm {p}} {\mathrm {p}}\to {\mathrm {Z}}/ {{{\gamma}} ^{*}} \text {+X}) \mathcal {B}({\mathrm {Z}}/ {{{\gamma}} ^{*}} \to {\tau} {\tau})$ and $ {{\tau} _\mathrm {h}} $ ES. The values of $ {{\tau} _\mathrm {h}} $ ES are quoted in terms of a scale factor (SF) relative to the standard model, MC expectation. |
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Figure 12-c:
Likelihood contours for the joint parameter estimation of the $ {{\tau} _\mathrm {h}} $ ES and the $ {{\tau} _\mathrm {h}} $ ID efficiency, at 68 and 95% confidence level (CL). The values of the $ {{\tau} _\mathrm {h}} $ ID efficiency and of $ {{\tau} _\mathrm {h}} $ ES are quoted in terms of scale factors (SF) relative to their standard model, MC expectation. |
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Figure 13:
Distributions in $m_{{\tau} {\tau}}$ for different categories in the $ {{\tau}_{{{\mu}}}} {{\tau} _\mathrm {h}} $ channel: (upper left) 0-jet, (upper right) 1-jet low, (lower left) medium, and (lower right) high Z boson $ {p_{\mathrm {T}}} $. |
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Figure 13-a:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau}_{{{\mu}}}} {{\tau} _\mathrm {h}} $ channel, 0-jet category. |
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Figure 13-b:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau}_{{{\mu}}}} {{\tau} _\mathrm {h}} $ channel, 1-jet low Z boson $ {p_{\mathrm {T}}} $ category. |
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Figure 13-c:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau}_{{{\mu}}}} {{\tau} _\mathrm {h}} $ channel, 1-jet medium Z boson $ {p_{\mathrm {T}}} $ category. |
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Figure 13-d:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau}_{{{\mu}}}} {{\tau} _\mathrm {h}} $ channel, 1-jet high Z boson $ {p_{\mathrm {T}}} $ category. |
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Figure 14:
Distributions in $m_{{\tau} {\tau}}$ for different categories in the $ {{\tau}_{{{\mu}}}} {{\tau} _\mathrm {h}} $ channel: (upper) 2-jet VBF, (lower left) 1 b jet, and (lower right) 2 b jet. |
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Figure 14-a:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau}_{{{\mu}}}} {{\tau} _\mathrm {h}} $ channel, 2-jet VBF category. |
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Figure 14-b:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau}_{{{\mu}}}} {{\tau} _\mathrm {h}} $ channel, 1 b jet category. |
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Figure 14-c:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau}_{{{\mu}}}} {{\tau} _\mathrm {h}} $ channel, 2 b jet category. |
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Figure 15:
Distributions in $m_{{\tau} {\tau}}$ for different categories in the $ {{\tau}_{{\mathrm {e}}}} {{\tau} _\mathrm {h}} $ channel: (upper left) 0-jet, (upper right) 1-jet low, (lower left) medium, and (lower right) high Z boson $ {p_{\mathrm {T}}} $. |
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Figure 15-a:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau}_{{\mathrm {e}}}} {{\tau} _\mathrm {h}} $ channel, 0-jet category. |
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Figure 15-b:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau}_{{\mathrm {e}}}} {{\tau} _\mathrm {h}} $ channel, 1-jet low Z boson $ {p_{\mathrm {T}}} $ category. |
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Figure 15-c:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau}_{{\mathrm {e}}}} {{\tau} _\mathrm {h}} $ channel, 1-jet medium Z boson $ {p_{\mathrm {T}}} $ category. |
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Figure 15-d:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau}_{{\mathrm {e}}}} {{\tau} _\mathrm {h}} $ channel, 1-jet high Z boson $ {p_{\mathrm {T}}} $ category. |
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Figure 16:
Distributions in $m_{{\tau} {\tau}}$ for different categories in the $ {{\tau}_{{\mathrm {e}}}} {{\tau} _\mathrm {h}} $ channel: (upper) 2-jet VBF, (lower left) 1 b jet, and (lower right) 2 b jet. |
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Figure 16-a:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau}_{{\mathrm {e}}}} {{\tau} _\mathrm {h}} $ channel, 2-jet VBF jet category. |
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Figure 16-b:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau}_{{\mathrm {e}}}} {{\tau} _\mathrm {h}} $ channel, 1 b jet category. |
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Figure 16-c:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau}_{{\mathrm {e}}}} {{\tau} _\mathrm {h}} $ channel, 2 b jet category. |
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Figure 17:
Distributions in $m_{{\tau} {\tau}}$ for different categories in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ channel: (upper left) 0-jet, (upper right) 1-jet low, (lower left) medium, and (lower right) high Z boson $ {p_{\mathrm {T}}} $. |
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Figure 17-a:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ channel, 0-jet Z boson $ {p_{\mathrm {T}}} $ category. |
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Figure 17-b:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ channel, 1-jet low Z boson $ {p_{\mathrm {T}}} $ category. |
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Figure 17-c:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ channel, 1-jet medium Z boson $ {p_{\mathrm {T}}} $ category. |
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Figure 17-d:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ channel, 1-jet high Z boson $ {p_{\mathrm {T}}} $ category. |
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Figure 18:
Distributions in $m_{{\tau} {\tau}}$ for different categories in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ channel: (upper) 2-jet VBF, (lower left) 1 b jet, and (lower right) 2 b jet. |
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Figure 18-a:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ channel, 2-jet VBF category. |
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Figure 18-b:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ channel, 1 b jet category. |
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Figure 18-c:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ channel, 2 b jet category. |
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Figure 19:
Distributions in $m_{{\tau} {\tau}}$ for different categories in the $ {{\tau}_{{\mathrm {e}}}} {{\tau}_{{{\mu}}}} $ channel: (upper left) 0-jet, (upper right) 1-jet low, (lower left) medium, and (lower right) high Z boson $ {p_{\mathrm {T}}} $. |
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Figure 19-a:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau}_{{\mathrm {e}}}} {{\tau}_{{{\mu}}}} $ channel, 0-jet category. |
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Figure 19-b:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau}_{{\mathrm {e}}}} {{\tau}_{{{\mu}}}} $ channel, 1-jet low Z boson $ {p_{\mathrm {T}}} $ category. |
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Figure 19-c:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau}_{{\mathrm {e}}}} {{\tau}_{{{\mu}}}} $ channel, 1-jet medium Z boson $ {p_{\mathrm {T}}} $ category. |
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Figure 19-d:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau}_{{\mathrm {e}}}} {{\tau}_{{{\mu}}}} $ channel, 1-jet high Z boson $ {p_{\mathrm {T}}} $ category. |
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Figure 20:
Distributions in $m_{{\tau} {\tau}}$ for different categories in the $ {{\tau}_{{\mathrm {e}}}} {{\tau}_{{{\mu}}}} $ channel: (upper) 2-jet VBF, (lower left) 1 b jet, and (lower right) 2 b jet. |
png pdf |
Figure 20-a:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau}_{{\mathrm {e}}}} {{\tau}_{{{\mu}}}} $ channel, 2-jet VBF category. |
png pdf |
Figure 20-b:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau}_{{\mathrm {e}}}} {{\tau}_{{{\mu}}}} $ channel, 1 b jet category. |
png pdf |
Figure 20-c:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau}_{{\mathrm {e}}}} {{\tau}_{{{\mu}}}} $ channel, 2 b jet category. |
png pdf |
Figure 21:
Distributions in $m_{{\tau} {\tau}}$ for different categories in the $ {{\tau}_{{{\mu}}}} {{\tau}_{{{\mu}}}} $ channel: (upper left) 0-jet, (upper right) 1-jet low, (lower left) medium, and (lower right) high Z boson $ {p_{\mathrm {T}}} $. |
png pdf |
Figure 21-a:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau}_{{{\mu}}}} {{\tau}_{{{\mu}}}} $ channel, 0-jet category. |
png pdf |
Figure 21-b:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau}_{{{\mu}}}} {{\tau}_{{{\mu}}}} $ channel, 1-jet low Z boson $ {p_{\mathrm {T}}} $ category. |
png pdf |
Figure 21-c:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau}_{{{\mu}}}} {{\tau}_{{{\mu}}}} $ channel, 1-jet high Z boson $ {p_{\mathrm {T}}} $ category. |
png pdf |
Figure 21-d:
Distributions in $m_{{\tau} {\tau}}$ for different categories in the $ {{\tau}_{{{\mu}}}} {{\tau}_{{{\mu}}}} $ channel: (upper left) 0-jet, (upper right) 1-jet low, (lower left) medium, and (lower right) high Z boson $ {p_{\mathrm {T}}} $. |
png pdf |
Figure 22:
Distributions in $m_{{\tau} {\tau}}$ for different categories in the $ {{\tau}_{{{\mu}}}} {{\tau}_{{{\mu}}}} $ channel: (upper) 2-jet VBF, (lower left) 1 b jet, and (lower right) 2 b jet. |
png pdf |
Figure 22-a:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau}_{{{\mu}}}} {{\tau}_{{{\mu}}}} $ channel: 2-jet VBF category. |
png pdf |
Figure 22-b:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau}_{{{\mu}}}} {{\tau}_{{{\mu}}}} $ channel: 1 b jet category. |
png pdf |
Figure 22-c:
Distribution in $m_{{\tau} {\tau}}$ in the $ {{\tau}_{{{\mu}}}} {{\tau}_{{{\mu}}}} $ channel: 2 b jet category. |
| Tables | |
png pdf |
Table 1:
Expected number of background events in the $ {{\tau}_{{\mathrm {e}}}} {{\tau} _\mathrm {h}} $, $ {{\tau}_{{{\mu}}}} {{\tau} _\mathrm {h}} $, $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $, $ {{\tau}_{{\mathrm {e}}}} {{\tau}_{{{\mu}}}} $, and $ {{\tau}_{{{\mu}}}} {{\tau}_{{{\mu}}}} $ channels in data, corresponding to an integrated luminosity of 2.3 fb$^{-1}$. Event yields and uncertainties are rounded to a precision of two significant digits in the uncertainty. |
png pdf |
Table 2:
Effect of experimental and theoretical uncertainties in the measurement of the $ {\mathrm {Z}}/ {{{\gamma}} ^{*}} \to {\tau} {\tau}$ cross section. The sources of systematic uncertainty are specified in the leftmost column, and apply to the processes given in the second column. The relative changes in the acceptance $\mathcal {A}$ for the $ {\mathrm {Z}}/ {{{\gamma}} ^{*}} \to {\tau} {\tau}$ signal, and in the yield from background processes that correspond to a one standard deviation change in a given source of uncertainty is given in the third column. The range in this column represents the range in signal acceptance or background yield across all decay channels and background processes. The impact that each change produces is quantified by its effect on the measured $ {\mathrm {Z}}/ {{{\gamma}} ^{*}} \to {\tau} {\tau}$ cross section, given in the rightmost column. |
png pdf |
Table 3:
Yields expected in $ {\mathrm {Z}}/ {{{\gamma}} ^{*}} \to {\tau} {\tau}$ signal events and backgrounds in the $ {{\tau}_{{\mathrm {e}}}} {{\tau} _\mathrm {h}} $, $ {{\tau}_{{{\mu}}}} {{\tau} _\mathrm {h}} $, $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $, $ {{\tau}_{{\mathrm {e}}}} {{\tau}_{{{\mu}}}} $, and $ {{\tau}_{{{\mu}}}} {{\tau}_{{{\mu}}}} $ channels, obtained from the ML fit described in Section yyyyy. The yields and uncertainties are rounded to a precision of two significant digits in the uncertainty. The analysed data corresponds to an integrated luminosity of 2.3 fb$^{-1}$. |
png pdf |
Table 4:
Cross section $\sigma ({\mathrm {p}} {\mathrm {p}}\to {\mathrm {Z}}/ {{{\gamma}} ^{*}} \text {+X}) \mathcal {B}({\mathrm {Z}}/ {{{\gamma}} ^{*}} \to {\tau} {\tau})$ measured in individual final states. |
png pdf |
Table 5:
Event categories used to study the modelling of backgrounds. Similar categories have been used in previous $ {\textrm {H}} \to {\tau} {\tau}$ analyses at the LHC. |
| Summary |
| The cross section for inclusive Drell-Yan production of $\tau$ pairs has been measured using pp collisions recorded by the CMS experiment at $\sqrt{s} = $ 13 TeV at the LHC. The analysed data correspond to an integrated luminosity of 2.3 fb$^{-1}$. The signal yield was determined in a global fit to the mass distributions in five $\tau\tau$ decay channels: ${\tau_{\mathrm{e}}} {\tau_\mathrm{h}}$, ${\tau_{\mu}} {\tau_\mathrm{h}}$, ${\tau_\mathrm{h}}{\tau_\mathrm{h}}$, ${\tau_{\mathrm{e}}} {\tau_{\mu}} $, and ${\tau_{\mu}} {\tau_{\mu}} $. The measured cross section times branching fraction $\sigma({\mathrm{p}}{\mathrm{p}} \to \mathrm{Z}/\gamma^{*} \text{+X}) \, \mathcal{B}(\mathrm{Z}/\gamma^{*} \to \tau\tau) = $ 1848 $\pm$ 12 (stat) $\pm$ 57 (syst) $\pm$ 35 (lumi) pb is in agreement with the standard model expectation, computed at next-to-next-to-leading order accuracy in perturbation theory. As a byproduct of the global fit, the efficiency for reconstructing and identifying the decays of $\tau$ leptons to hadrons ($\tau \to \mbox{hadrons} + \nu_{\tau}$), as well as the ${\tau_\mathrm{h}}$ energy scale, have been determined. The results from data agree with Monte Carlo simulation within the uncertainties of the measurement, amounting to 2.2% relative uncertainty in the ${\tau_\mathrm{h}}$ identification efficiency, and 0.9% in the energy scale. |
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