The production of $ B ^+ $, $ B ^0 $ and $\Lambda ^0_ b $ hadrons is studied in protonlead collisions at a centreofmass energy per nucleon pair of $\sqrt{s_{\scriptscriptstyle\rm NN}} $ $=$ 8.16 TeV with the LHCb detector at the LHC. The measurement uses an integrated luminosity of $12.2\pm0.3\,nb^{1} $ for the proton beam projecting into the LHCb detector (positive rapidity) and $18.6\pm0.5\,nb^{1} $ for the lead beam projecting into the LHCb detector (negative rapidity). Nuclear effects in protonlead data are probed by doubledifferential crosssections, forwardtobackward crosssection ratios and nuclear modification factors of the beauty hadrons. The doubledifferential crosssections are measured as function of the beauty hadron transverse momentum and rapidity in the nucleonnucleon centreof mass frame. Forwardtobackward crosssection ratios and nuclear modification factors indicate a significant nuclear suppression at positive rapidity compared to $pp$ collisions and compared to negative rapidity. The baryontomeson ratio of $\Lambda ^0_ b $ over $ B ^0$ is reported as well and exhibits a value consistent with the same measurements in $pp$ collisions at positive rapidity, whereas tensions are observed at negative rapidity.
Mass fit results for the $ B ^+ \!\rightarrow \overline{ D }{} {}^0 \pi ^+ $ decay for (left) $ p\mathrm{Pb}$ and (right) $\mathrm{Pb}p$ . The solid blue line, the solid green line, the crossshaded area, the brown shaded area and the red shaded area represent the total fit, the signal component, the partially reconstructed background the combinatorial background and misidentified background, respectively. 
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Mass fit results for the $ B ^+ \!\rightarrow { J \mskip 3mu/\mskip 2mu\psi \mskip 2mu} K ^+ $ decay for (left) $ p\mathrm{Pb}$ and (right) $\mathrm{Pb}p$ . The solid blue line, the solid green line, the crossshaded area, the brown shaded area and the red shaded area represent the total fit, the signal component, the partially reconstructed background the combinatorial background and misidentified background, respectively. 
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Mass fit results for the $ B ^0 \!\rightarrow D ^ \pi ^+ $ decay for (left) $ p\mathrm{Pb}$ and (right) $\mathrm{Pb}p$ . The solid blue line, the solid green line, the crossshaded area, the brown shaded area and the red shaded area represent the total fit, the signal component, the partially reconstructed background the combinatorial background and misidentified background, respectively. 
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Mass fit results of $\Lambda ^0_ b \!\rightarrow \Lambda ^+_ c \pi ^ $ for the $\Lambda ^0_ b \!\rightarrow \Lambda ^+_ c \pi ^ $ decay for (left) $ p\mathrm{Pb}$ and (right) $\mathrm{Pb}p$ . The solid blue line, the solid green line, the crossshaded area, the brown shaded area and the red shaded area represent the total fit, the signal component, the partially reconstructed background the combinatorial background and misidentified background, respectively. 
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Production crosssection of $ B ^+ $ mesons as a function of (left) $ p_{\mathrm{T}}$ in $y$ bins and (right) $y$ integrated over $ p_{\mathrm{T}}$ . The bars (boxes) show statistical (systematic) uncertainties. 
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Production crosssection of $ B ^0 $ mesons as function of (left) $ p_{\mathrm{T}}$ in $y$ bins and (right) $y$ integrated over $ p_{\mathrm{T}}$ . The bars (boxes) show statistical (systematic) uncertainties. 
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Production crosssection of $\Lambda ^0_ b $ baryons as a function of (left) $ p_{\mathrm{T}}$ in $y$ bins and (right) $y$ integrated over $ p_{\mathrm{T}}$ . The bars (boxes) show statistical (systematic) uncertainties. 
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Production crosssection ratios of $\Lambda ^0_ b $ baryons over $ B ^0 $ and $ B ^0 $ over $ B ^+ $ (top) as a function of $y$ integrated over $ p_{\mathrm{T}}$ and as a function of $ p_{\mathrm{T}}$ for (bottom left) $2.5<y<3.5$ and (bottom right) $3.5<y<2.5$. The bars (boxes) show statistical (systematic) uncertainties. 
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Forwardbackward ratio $R_{\rm FB}$ of $ B ^+ $ as a function of (left) $ p_{\mathrm{T}}$ and as a function of (right) $y$ in protonlead collisions compared with HELAConia calculations using different nPDF sets. For the data points, the bars (boxes) represent the statistical (systematic) uncertainties. The rapidity range $2.5< y <3.5$ represents the common range between the $ p\mathrm{Pb}$ and $\mathrm{Pb}p$ data samples studied in this analysis. 
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$R_{\rm FB}$ of $ B ^0 $ as a function of (left) $ p_{\mathrm{T}}$ and as a function of (right) $y$ in protonlead collisions. The bars (boxes) represent the statistical (systematic) uncertainties. 
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$R_{\rm FB}$ of $\Lambda ^0_ b $ as a function of (left) $ p_{\mathrm{T}}$ and of (right) $y$ in protonlead collisions. The bars (boxes) represent the statistical (systematic) uncertainties. 
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$R_{\rm FB}$ of (red) $ B ^+ $, (blue) $ B ^0 $ and (green) $\Lambda ^0_ b $ as a function of (left) $ p_{\mathrm{T}}$ and of (right) $y$ in protonlead collisions. The bars (boxes) represent the statistical (systematic) uncertainties. 
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$R^{\Lambda ^0_ b / B ^0 }_{\text{pPb}}$ as a function of (left) $ p_{\mathrm{T}}$ and of (right) $y$ in $p$Pb and Pb$p$ collisions. The bars (boxes) represent the statistical (systematic) uncertainties. 
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$R_{ p\mathrm{Pb} }$ of $ B ^+ $ mesons as function of (top) $y$ and as function of $ p_{\mathrm{T}}$ in (bottom left) $p$Pb and (bottom right) Pb$p$ compared with HELAConia calculations using different nPDF sets as well as with the measurement of nonprompt $ { J \mskip 3mu/\mskip 2mu\psi \mskip 2mu}$ $R_{ p\mathrm{Pb} }$. For the data points, the bars (boxes) represent the statistical (systematic) uncertainties. 
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Animated gif made out of all figures. 
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Signal yields in the $ p_{\mathrm{T}} $ range $2< p_{\mathrm{T}} <20 {\mathrm{\,GeV\!/}c} $, and the rapidity range $1.5< y <3.5$ for $ p\mathrm{Pb}$ and $4.5< y <2.5$ for $\mathrm{Pb}p$ . 
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Summary of systematic uncertainties (in %) for the measured crosssections for different decay modes in $ p\mathrm{Pb}$ . The ranges correspond to the minimum and maximum values over the $ p_{\mathrm{T}}$ and $ y$ bins of the beauty hadrons. 
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Summary of systematic uncertainties (in %) for the measured crosssections for different decay modes in $\mathrm{Pb}p$ . The ranges correspond to the minimum and maximum values over the $ p_{\mathrm{T}}$ and $ y$ bins of the beauty hadrons. 
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Created on 09 December 2018.Citation count from INSPIRE on 09 December 2018.