The production of $B^+$, $B^0$ and $\Lambda_b^0$ hadrons is studied in protonlead collisions at a centreofmass energy per nucleon pair of $\sqrt{s_\mathrm{NN}}=8.16 {\rm TeV}$ recorded with the LHCb detector at the LHC. The measurement uses a dataset corresponding to an integrated luminosity of $12.2\pm0.3 \mathrm{nb}^{1}$ for the case where the proton beam is projected into the LHCb detector (corresponding to measuring hadron production at positive rapidity) and $18.6\pm0.5 \mathrm{nb}^{1}$ for the lead beam projected into the LHCb detector (corresponding to measuring hadron production at negative rapidity). Nuclear effects are probed through doubledifferential crosssections, forwardtobackward crosssection ratios and nuclear modification factors of the beauty hadrons. The doubledifferential crosssections are measured as a function of the beautyhadron transverse momentum and rapidity in the nucleonnucleon centreofmass frame. Forwardtobackward crosssection ratios and nuclear modification factors indicate a significant nuclear suppression at positive rapidity. The ratio of $\Lambda_b^0$ over $B^0$ production crosssections is reported and is consistent with the corresponding measurement in $pp$ collisions.
Invariant mass distribution of $ B ^+ $ candidates reconstructed in the $ B ^+ \rightarrow \overline{ D } {}^0 \pi ^+ $ decay for (left) $ p\mkern 1mu\mathrm{Pb}$ and (right) $\mathrm{Pb}\mkern 1.5mu p$ collisions, with the fit result superimposed. 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 $ B ^+ \rightarrow \overline{ D } {}^0 K ^+ $ decays, respectively. 
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Invariant mass distribution of $ B ^+ $ candidates reconstructed in the $ B ^+ \rightarrow { J \mskip 3mu/\mskip 2mu\psi \mskip 2mu} K ^+ $ decay for (left) $ p\mkern 1mu\mathrm{Pb}$ and (right) $\mathrm{Pb}\mkern 1.5mu p$ collisions, with the fit result superimposed. 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 $ B ^+ \rightarrow { J \mskip 3mu/\mskip 2mu\psi \mskip 2mu} \pi ^+ $ decays, respectively. 
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Invariant mass distribution of $ B ^0 $ candidates reconstructed in the $ B ^0 \rightarrow D ^ \pi ^+ $ decay for (left) $ p\mkern 1mu\mathrm{Pb}$ and (right) $\mathrm{Pb}\mkern 1.5mu p$ collisions, with the fit result superimposed. 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 $ B ^0 \rightarrow D ^ K ^+ $ decays, respectively. 
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Invariant mass distribution of $\Lambda ^0_ b $ candidates reconstructed in the $\Lambda ^0_ b \rightarrow \Lambda ^+_ c \pi ^ $ decay for (left) $ p\mkern 1mu\mathrm{Pb}$ and (right) $\mathrm{Pb}\mkern 1.5mu p$ collisions, with the fit result superimposed. 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 $\Lambda ^0_ b \rightarrow \Lambda ^+_ c K ^ $ decays, 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 vertical bars (boxes) show statistical (total) 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 vertical bars (boxes) show statistical (total) 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 vertical bars (boxes) show statistical (total) uncertainties. 
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Production crosssection ratios of $\Lambda ^0_ b $ baryons over $ B ^0 $ mesons and of $ B ^0 $ mesons over $ B ^+ $ mesons (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 vertical bars (boxes) show statistical (total) uncertainties. 
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Forwardbackward ratio, $R_{\rm FB}$, for $ B ^+ $ mesons as a function of (left) $ p_{\mathrm{T}}$ and (right) $y$ in protonlead collisions compared with HELAConia calculations using different nPDF sets. For the data points, the vertical bars (boxes) represent the statistical (total) uncertainties. The rapidity range $2.5< y <3.5$ represents the common range between the $ p\mkern 1mu\mathrm{Pb}$ and $\mathrm{Pb}\mkern 1.5mu p$ data samples studied in this analysis. 
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Forwardbackward ratio, $R_{\rm FB}$, of $ B ^0 $ mesons as a function of (left) $ p_{\mathrm{T}}$ and as a function of (right) $y$ in protonlead collisions. The vertical bars (boxes) represent the statistical (total) uncertainties. 
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Forwardbackward ratio, $R_{\rm FB}$, of $\Lambda ^0_ b $ baryons as a function of (left) $ p_{\mathrm{T}}$ and (right) $y$ in protonlead collisions. The vertical bars (boxes) represent the statistical (total) uncertainties. 
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Forwardbackward ratio, $R_{\rm FB}$, of (red) $ B ^+ $, (blue) $ B ^0 $ mesons and (green) $\Lambda ^0_ b $ baryons as a function of (left) $ p_{\mathrm{T}}$ and (right) $y$ in protonlead collisions. The vertical bars (boxes) represent the statistical (total) uncertainties. Data points are shifted horizontally for better visibility. 
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Ratio of nuclear modification factors, $R^{\Lambda ^0_ b / B ^0 }_{ p\mkern 1mu\mathrm{Pb} }$, as a function of (left) $ p_{\mathrm{T}}$ and (right) $y$ in $ p\mkern 1mu\mathrm{Pb} $ and $\mathrm{Pb}\mkern 1.5mu p $ collisions. The vertical bars (boxes) represent the statistical (total) uncertainties. 
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Nuclear modification factor, $R_{ p\mkern 1mu\mathrm{Pb} }$, for $ B ^+ $ mesons as function of (top) $y$ and as a function of $ p_{\mathrm{T}}$ in (bottom left) $ p\mkern 1mu\mathrm{Pb} $ and (bottom right) $\mathrm{Pb}\mkern 1.5mu p $ compared with HELAConia calculations using different nPDF sets as well as with the measurement of $R_{ p\mkern 1mu\mathrm{Pb} }$ for nonprompt $ { J \mskip 3mu/\mskip 2mu\psi \mskip 2mu}$ production. For the data points, the vertical bars (boxes) represent the statistical (total) uncertainties. 
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Animated gif made out of all figures. 
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Signal yields in the range $2< p_{\mathrm{T}} <20\text{ Ge V /}c $ and $1.5< y <3.5$ ($4.5< y <2.5$) for $ p\mkern 1mu\mathrm{Pb}$ ( $\mathrm{Pb}\mkern 1.5mu p$ ) collisions. Uncertainties are statistical only. 
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Summary of systematic uncertainties (in %) for the measured crosssections for different decay modes in $ p\mkern 1mu\mathrm{Pb}$ . The ranges correspond to the minimum and maximum values over the $ p_{\mathrm{T}}$ and $ y$ bins of the measurement. 
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Summary of systematic uncertainties (in %) for the measured crosssections for different decay modes in $\mathrm{Pb}\mkern 1.5mu p$ . The ranges correspond to the minimum and maximum values over the $ p_{\mathrm{T}}$ and $ y$ bins of the measurement. 
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Differential crosssections of $ B ^+ $ , $ B ^0$ and $\Lambda ^0_ b $ production in bins of $ p_{\mathrm{T}}$ and $y$, $\frac{{\rm d}^2\sigma}{{\rm d} p_{\mathrm{T}} {\rm d}y}( \upmu\text{b} /[ \text{ Ge V /}c ])$, and in bins of $y$ integrated over $2< p_{\mathrm{T}} <20\text{ Ge V /}c $, $\frac{{\rm d}\sigma}{{\rm d}y} ( \upmu\text{b} )$. The first uncertainty is statistical and the second systematic. 
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Forwardbackward ratios, $R_{\rm FB}$, of $ B ^+ $ , $ B ^0$ and $\Lambda ^0_ b $ production in bins of $ p_{\mathrm{T}}$ and integrated over $2.5<y<3.5$. The first uncertainty is statistical and the second systematic. 
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Ratios of nuclear modification factors, $R^{\Lambda ^0_ b / B ^0 }_{ p\mkern 1mu\mathrm{Pb} }$, in bins of $ p_{\mathrm{T}}$ and integrated over $2.5<y<3.5$, for $ p\mkern 1mu\mathrm{Pb} $ and $\mathrm{Pb}\mkern 1.5mu p $ samples. The first uncertainty is statistical and the second systematic. 
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Nuclear modification factor, $R_{ p\mkern 1mu\mathrm{Pb} }$, of $ B ^+ $ production in $ p\mkern 1mu\mathrm{Pb} $ and $\mathrm{Pb}\mkern 1.5mu p $ collisions, in bins of $ p_{\mathrm{T}}$ for the range $2.5<y<3.5$. The first uncertainty is statistical and the second systematic. 
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Created on 23 June 2019.Citation count from INSPIRE on 24 June 2019.