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CMS-B2G-20-005 ; CERN-EP-2021-049
Search for W' bosons decaying to a top and a bottom quark at $\sqrt{s} = $ 13 TeV in the hadronic final state
Phys. Lett. B 820 (2021) 136535
Abstract: A search is performed for W' bosons decaying to a top and a bottom quark in the all-hadronic final state, in proton-proton collisions at a center-of-mass energy of 13 TeV. The analyzed data were collected by the CMS experiment between 2016 and 2018 and correspond to an integrated luminosity of 137 fb$^{-1}$. Deep neural network algorithms are used to identify the jet initiated by the bottom quark and the jet containing the decay products of the top quark when the W boson from the top quark decays hadronically. No excess above the estimated standard model background is observed. Upper limits on the production cross sections of W' bosons decaying to a top and a bottom quark are set. Both left- and right-handed W' bosons with masses below 3.4 TeV are excluded at 95% confidence level, and the most stringent limits to date on W' bosons decaying to a top and a bottom quark in the all-hadronic final state are obtained.
Figures & Tables Summary Additional Figures References CMS Publications
Figures

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Figure 1:
The reconstructed ${m_{\mathrm{t} \mathrm{b}}}$ distributions in data (black points with error bars), and backgrounds in the VR (upper row) and SR (lower row) for the data-taking periods of 2016 (left), 2017 (middle), and 2018 (right). The yield in each bin is divided by the corresponding bin width. Distributions expected from right-handed W' bosons of mass 2 and 3 TeV and a left-handed W' boson of mass 2 TeV are shown normalized to the integrated luminosity of the data using a product of cross section and branching fraction of 1 pb. The lower panel in each plot shows the ratio of data to the background prediction. The shaded band indicates the total uncertainty in the estimated background, including both statistical and systematic components.

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Figure 1-a:
The reconstructed ${m_{\mathrm{t} \mathrm{b}}}$ distributions in data (black points with error bars), and backgrounds in the VR, for the data-taking periods of 2016. The yield in each bin is divided by the corresponding bin width. Distributions expected from right-handed W' bosons of mass 2 and 3 TeV and a left-handed W' boson of mass 2 TeV are shown normalized to the integrated luminosity of the data using a product of cross section and branching fraction of 1 pb. The lower panel in each plot shows the ratio of data to the background prediction. The shaded band indicates the total uncertainty in the estimated background, including both statistical and systematic components.

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Figure 1-b:
The reconstructed ${m_{\mathrm{t} \mathrm{b}}}$ distributions in data (black points with error bars), and backgrounds in the VR, for the data-taking periods of 2017. The yield in each bin is divided by the corresponding bin width. Distributions expected from right-handed W' bosons of mass 2 and 3 TeV and a left-handed W' boson of mass 2 TeV are shown normalized to the integrated luminosity of the data using a product of cross section and branching fraction of 1 pb. The lower panel in each plot shows the ratio of data to the background prediction. The shaded band indicates the total uncertainty in the estimated background, including both statistical and systematic components.

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Figure 1-c:
The reconstructed ${m_{\mathrm{t} \mathrm{b}}}$ distributions in data (black points with error bars), and backgrounds in the VR, for the data-taking periods of 2018. The yield in each bin is divided by the corresponding bin width. Distributions expected from right-handed W' bosons of mass 2 and 3 TeV and a left-handed W' boson of mass 2 TeV are shown normalized to the integrated luminosity of the data using a product of cross section and branching fraction of 1 pb. The lower panel in each plot shows the ratio of data to the background prediction. The shaded band indicates the total uncertainty in the estimated background, including both statistical and systematic components.

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Figure 1-d:
The reconstructed ${m_{\mathrm{t} \mathrm{b}}}$ distributions in data (black points with error bars), and backgrounds in the SR, for the data-taking periods of 2016. The yield in each bin is divided by the corresponding bin width. Distributions expected from right-handed W' bosons of mass 2 and 3 TeV and a left-handed W' boson of mass 2 TeV are shown normalized to the integrated luminosity of the data using a product of cross section and branching fraction of 1 pb. The lower panel in each plot shows the ratio of data to the background prediction. The shaded band indicates the total uncertainty in the estimated background, including both statistical and systematic components.

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Figure 1-e:
The reconstructed ${m_{\mathrm{t} \mathrm{b}}}$ distributions in data (black points with error bars), and backgrounds in the SR, for the data-taking periods of 2017. The yield in each bin is divided by the corresponding bin width. Distributions expected from right-handed W' bosons of mass 2 and 3 TeV and a left-handed W' boson of mass 2 TeV are shown normalized to the integrated luminosity of the data using a product of cross section and branching fraction of 1 pb. The lower panel in each plot shows the ratio of data to the background prediction. The shaded band indicates the total uncertainty in the estimated background, including both statistical and systematic components.

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Figure 1-f:
The reconstructed ${m_{\mathrm{t} \mathrm{b}}}$ distributions in data (black points with error bars), and backgrounds in the SR, for the data-taking periods of 2018. The yield in each bin is divided by the corresponding bin width. Distributions expected from right-handed W' bosons of mass 2 and 3 TeV and a left-handed W' boson of mass 2 TeV are shown normalized to the integrated luminosity of the data using a product of cross section and branching fraction of 1 pb. The lower panel in each plot shows the ratio of data to the background prediction. The shaded band indicates the total uncertainty in the estimated background, including both statistical and systematic components.

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Figure 2:
Upper limits at 95% CL on the production cross section and branching fraction of a W'$_{\mathrm {R}}$ boson (upper row) and a W'$_{\mathrm {L}}$ boson with the SM interference (lower row) decaying to a top and a bottom quark, using combined 2016-2018 data and backgrounds. The observed and median expected limits are shown with the black solid and dashed lines, respectively. The inner green and outer yellow bands represent the 68 and 95% confidence level intervals, respectively, of the expected limit, computed using the background-only hypothesis. The theoretical prediction and its uncertainty due to the choice of QCD scale and PDF set are indicated by the red curve and associated red shaded band, respectively.

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Figure 2-a:
Upper limits at 95% CL on the production cross section and branching fraction of a W'$_{\mathrm {R}}$ boson decaying to a top and a bottom quark, using combined 2016-2018 data and backgrounds. The observed and median expected limits are shown with the black solid and dashed lines, respectively. The inner green and outer yellow bands represent the 68 and 95% confidence level intervals, respectively, of the expected limit, computed using the background-only hypothesis. The theoretical prediction and its uncertainty due to the choice of QCD scale and PDF set are indicated by the red curve and associated red shaded band, respectively.

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Figure 2-b:
Upper limits at 95% CL on the production cross section and branching fraction of a W'$_{\mathrm {L}}$ boson with the SM interference decaying to a top and a bottom quark, using combined 2016-2018 data and backgrounds. The observed and median expected limits are shown with the black solid and dashed lines, respectively. The inner green and outer yellow bands represent the 68 and 95% confidence level intervals, respectively, of the expected limit, computed using the background-only hypothesis. The theoretical prediction and its uncertainty due to the choice of QCD scale and PDF set are indicated by the red curve and associated red shaded band, respectively.
Tables

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Table 1:
Regions of parameter space used in the analysis. The ${m_{\mathrm {SD}}}$ and t tagging refer to the soft drop mass and the {DeepAK8} t-tagger score requirements of the top quark candidate AK8 jet. The b tagging refers to the DeepJet b-tagger score requirement of the bottom quark candidate AK4 jet.
Summary
A search has been performed for heavy W' bosons decaying to a top and a bottom quark in the hadronic final state using data corresponding to an integrated luminosity of 137 fb$^{-1}$ collected by the CMS experiment during the data taking period from 2016 to 2018. The analysis utilizes top quark tagging and bottom quark tagging algorithms based on deep neural networks. No excess above the estimated standard model background is observed. Upper limits on the production cross section times branching fraction of a W' boson decaying to a top and a bottom quark are obtained at 95% confidence level for W' boson masses in the range 1-4 TeV. Left- and right-handed W' bosons with masses below 3.4 TeV are excluded at 95% confidence level. The limits provided on W' bosons decaying to a top and a bottom quark in the all-hadronic decay mode are the most stringent to date.
Additional Figures

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Additional Figure 1:
The reconstructed ${m_{{\mathrm {t}} {\mathrm {b}}}}$ distributions for (left) right-handed and (right) left-handed W' bosons of mass 1, 2, 2.5, 3, 3.5, and 4 TeV normalized to an integrated luminosity of 137 fb$^{-1}$ using a product of cross section and branching fraction of 1 pb. The yield in each bin is divided by the corresponding bin width.

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Additional Figure 1-a:
The reconstructed ${m_{{\mathrm {t}} {\mathrm {b}}}}$ distributions for right-handed W' bosons of mass 1, 2, 2.5, 3, 3.5, and 4 TeV normalized to an integrated luminosity of 137 fb$^{-1}$ using a product of cross section and branching fraction of 1 pb. The yield in each bin is divided by the corresponding bin width.

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Additional Figure 1-b:
The reconstructed ${m_{{\mathrm {t}} {\mathrm {b}}}}$ distributions for left-handed W' bosons of mass 1, 2, 2.5, 3, 3.5, and 4 TeV normalized to an integrated luminosity of 137 fb$^{-1}$ using a product of cross section and branching fraction of 1 pb. The yield in each bin is divided by the corresponding bin width.

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Additional Figure 2:
The signal selection efficiency for (left) right-handed and (right) left-handed W' bosons of masses in the range 1-4 TeV. The large difference between the signal selection efficiency for left-handed and right-handed W' bosons, especially for high resonance masses, is due to the interference with single top quark production in the case of left-handed W' bosons.

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Additional Figure 2-a:
The signal selection efficiency for right-handed W' bosons of masses in the range 1-4 TeV.

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Additional Figure 2-b:
The signal selection efficiency for left-handed W' bosons of masses in the range 1-4 TeV.

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Additional Figure 3:
The reconstructed ${m_{{\mathrm {t}} {\mathrm {b}}}}$ distributions in data (black points with error bars), and backgrounds in the ${{\mathrm {t}} {\overline {\mathrm {t}}}}$-enriched control region for the data-taking periods of (left) 2016, (middle) 2017, and (right) 2018. The yield in each bin is divided by the corresponding bin width. The lower panel in each plot shows the ratio of data to the background prediction. The ratio is fitted with a first-order polynomial. The values of the fitted parameters and the quality of the fit are shown in the lower panel.

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Additional Figure 3-a:
The reconstructed ${m_{{\mathrm {t}} {\mathrm {b}}}}$ distributions in data (black points with error bars), and backgrounds in the ${{\mathrm {t}} {\overline {\mathrm {t}}}}$-enriched control region for the data-taking period of 2016. The yield in each bin is divided by the corresponding bin width. The lower panel shows the ratio of data to the background prediction. The ratio is fitted with a first-order polynomial. The values of the fitted parameters and the quality of the fit are shown in the lower panel.

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Additional Figure 3-b:
The reconstructed ${m_{{\mathrm {t}} {\mathrm {b}}}}$ distributions in data (black points with error bars), and backgrounds in the ${{\mathrm {t}} {\overline {\mathrm {t}}}}$-enriched control region for the data-taking period of 2017. The yield in each bin is divided by the corresponding bin width. The lower panel shows the ratio of data to the background prediction. The ratio is fitted with a first-order polynomial. The values of the fitted parameters and the quality of the fit are shown in the lower panel.

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Additional Figure 3-c:
The reconstructed ${m_{{\mathrm {t}} {\mathrm {b}}}}$ distributions in data (black points with error bars), and backgrounds in the ${{\mathrm {t}} {\overline {\mathrm {t}}}}$-enriched control region for the data-taking period of 2018. The yield in each bin is divided by the corresponding bin width. The lower panel shows the ratio of data to the background prediction. The ratio is fitted with a first-order polynomial. The values of the fitted parameters and the quality of the fit are shown in the lower panel.

png pdf
Additional Figure 4:
The reconstructed ${m_{{\mathrm {t}} {\mathrm {b}}}}$ distributions in data (black points with error bars), and backgrounds in the CR1 for the data-taking periods of (left) 2016, (middle) 2017, and (right) 2018. The yield in each bin is divided by the corresponding bin width. Distributions expected from right-handed W' bosons of mass 2 and 3 TeV and a left-handed W' boson of mass 2 TeV are shown normalized to the integrated luminosity of the data using a product of cross section and branching fraction of 1 pb. The lower panel in each plot shows the ratio of data to the background prediction. The shaded band indicates the total uncertainty in the estimated background, including both statistical and systematic components.

png pdf
Additional Figure 4-a:
The reconstructed ${m_{{\mathrm {t}} {\mathrm {b}}}}$ distributions in data (black points with error bars), and backgrounds in the CR1 for the data-taking period of 2016. The yield in each bin is divided by the corresponding bin width. Distributions expected from right-handed W' bosons of mass 2 and 3 TeV and a left-handed W' boson of mass 2 TeV are shown normalized to the integrated luminosity of the data using a product of cross section and branching fraction of 1 pb. The lower panel shows the ratio of data to the background prediction. The shaded band indicates the total uncertainty in the estimated background, including both statistical and systematic components.

png pdf
Additional Figure 4-b:
The reconstructed ${m_{{\mathrm {t}} {\mathrm {b}}}}$ distributions in data (black points with error bars), and backgrounds in the CR1 for the data-taking period of 2017. The yield in each bin is divided by the corresponding bin width. Distributions expected from right-handed W' bosons of mass 2 and 3 TeV and a left-handed W' boson of mass 2 TeV are shown normalized to the integrated luminosity of the data using a product of cross section and branching fraction of 1 pb. The lower panel shows the ratio of data to the background prediction. The shaded band indicates the total uncertainty in the estimated background, including both statistical and systematic components.

png pdf
Additional Figure 4-c:
The reconstructed ${m_{{\mathrm {t}} {\mathrm {b}}}}$ distributions in data (black points with error bars), and backgrounds in the CR1 for the data-taking period of 2018. The yield in each bin is divided by the corresponding bin width. Distributions expected from right-handed W' bosons of mass 2 and 3 TeV and a left-handed W' boson of mass 2 TeV are shown normalized to the integrated luminosity of the data using a product of cross section and branching fraction of 1 pb. The lower panel shows the ratio of data to the background prediction. The shaded band indicates the total uncertainty in the estimated background, including both statistical and systematic components.

png pdf
Additional Figure 5:
The reconstructed ${m_{{\mathrm {t}} {\mathrm {b}}}}$ distributions in data (black points with error bars), and backgrounds in the CR2 for the data-taking periods of (left) 2016, (middle) 2017, and (right) 2018. The yield in each bin is divided by the corresponding bin width. Distributions expected from right-handed W' bosons of mass 2 and 3 TeV and a left-handed W' boson of mass 2 TeV are shown normalized to the integrated luminosity of the data using a product of cross section and branching fraction of 1 pb. The lower panel in each plot shows the ratio of data to the background prediction. The shaded band indicates the total uncertainty in the estimated background, including both statistical and systematic components.

png pdf
Additional Figure 5-a:
The reconstructed ${m_{{\mathrm {t}} {\mathrm {b}}}}$ distributions in data (black points with error bars), and backgrounds in the CR2 for the data-taking periods of 2016. The yield in each bin is divided by the corresponding bin width. Distributions expected from right-handed W' bosons of mass 2 and 3 TeV and a left-handed W' boson of mass 2 TeV are shown normalized to the integrated luminosity of the data using a product of cross section and branching fraction of 1 pb. The lower panel shows the ratio of data to the background prediction. The shaded band indicates the total uncertainty in the estimated background, including both statistical and systematic components.

png pdf
Additional Figure 5-b:
The reconstructed ${m_{{\mathrm {t}} {\mathrm {b}}}}$ distributions in data (black points with error bars), and backgrounds in the CR2 for the data-taking periods of 2017. The yield in each bin is divided by the corresponding bin width. Distributions expected from right-handed W' bosons of mass 2 and 3 TeV and a left-handed W' boson of mass 2 TeV are shown normalized to the integrated luminosity of the data using a product of cross section and branching fraction of 1 pb. The lower panel shows the ratio of data to the background prediction. The shaded band indicates the total uncertainty in the estimated background, including both statistical and systematic components.

png pdf
Additional Figure 5-c:
The reconstructed ${m_{{\mathrm {t}} {\mathrm {b}}}}$ distributions in data (black points with error bars), and backgrounds in the CR2 for the data-taking periods of 2018. The yield in each bin is divided by the corresponding bin width. Distributions expected from right-handed W' bosons of mass 2 and 3 TeV and a left-handed W' boson of mass 2 TeV are shown normalized to the integrated luminosity of the data using a product of cross section and branching fraction of 1 pb. The lower panel shows the ratio of data to the background prediction. The shaded band indicates the total uncertainty in the estimated background, including both statistical and systematic components.
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