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Distributions of the invariant mass for $\Dzero$ (top left), $\Dplus$ (top right), $\Ds$ (bottom left) candidates and their charge conjugates and of the mass difference for $\Dstar$ (bottom right) candidates (and charge conjugates) in the rapidity interval $|y_{\rm lab}|<y_{\mathrm{fid}}(\pt)$ in p--Pb collisions. The dashed lines represent the fit to the background while the solid lines represent the total fit function. One $\pt$ interval is shown for each species: $1<\pt<2~\gevc$ for $\Dzero$, $5<\pt<6~\gevc$ for $\Dplus$, $8<\pt<12~\gevc$ for $\Ds$ and $16<\pt<24~\gevc$ for $\Dstar$.

Distributions of the invariant mass for $\Dzero$ (top left), $\Dplus$ (top right), $\Ds$ (bottom left) candidates and their charge conjugates and of the mass difference for $\Dstar$ (bottom right) candidates (and charge conjugates) in the rapidity interval $|y_{\rm lab}|<y_{\mathrm{fid}}(\pt)$ in p--Pb collisions. The dashed lines represent the fit to the background while the solid lines represent the total fit function. One $\pt$ interval is shown for each species: $1<\pt<2~\gevc$ for $\Dzero$, $5<\pt<6~\gevc$ for $\Dplus$, $8<\pt<12~\gevc$ for $\Ds$ and $16<\pt<24~\gevc$ for $\Dstar$.

Distributions of the invariant mass for $\Dzero$ (left column), $\Dplus$ (middle column) candidates and their charge conjugates and of the mass difference for $\Dstar$ (right column) candidates (and charge conjugates) in p--Pb collisions in the rapidity intervals $|y_{\rm lab}| <0.1 $ (top row) and $-0.8 < y_{\mathrm{lab}} < -0.4$ ($-0.7 < y_{\mathrm{lab}} < -0.4$ for $\pt<5~\gev/c$) (bottom row). The dashed lines represent the fit to the background while the solid lines represent the total fit function. One $\pt$ interval is shown for each species: $2<\pt<5~\gevc$ for $\Dzero$, $5<\pt<8~\gevc$ for $\Dplus$ and $8<\pt<16~\gevc$ for $\Dstar$.

Distributions of the invariant mass for $\Dzero$ (left column), $\Dplus$ (middle column) candidates and their charge conjugates and of the mass difference for $\Dstar$ (right column) candidates (and charge conjugates) in p--Pb collisions in the rapidity intervals $|y_{\rm lab}| <0.1 $ (top row) and $-0.8 < y_{\mathrm{lab}} < -0.4$ ($-0.7 < y_{\mathrm{lab}} < -0.4$ for $\pt<5~\gev/c$) (bottom row). The dashed lines represent the fit to the background while the solid lines represent the total fit function. One $\pt$ interval is shown for each species: $2<\pt<5~\gevc$ for $\Dzero$, $5<\pt<8~\gevc$ for $\Dplus$ and $8<\pt<16~\gevc$ for $\Dstar$.

Product of acceptance and efficiency for $\Dzero$ mesons as a function of $\pt$ (left) and as a function of $y_{\rm lab}$ (right). In the left panel, efficiencies are shown for prompt $\Dzero$ with (solid line) and without (dashed line) PID selection applied, and feed-down $\Dzero$ (dotted line). In the right panel, the ${\rm Acc}\times\epsilon$ values are shown for prompt $\Dzero$ mesons for the three $\pt$ intervals considered in the analysis as a function of rapidity.

Product of acceptance and efficiency for $\Dzero$ mesons as a function of $\pt$ (left) and as a function of $y_{\rm lab}$ (right). In the left panel, efficiencies are shown for prompt $\Dzero$ with (solid line) and without (dashed line) PID selection applied, and feed-down $\Dzero$ (dotted line). In the right panel, the ${\rm Acc}\times\epsilon$ values are shown for prompt $\Dzero$ mesons for the three $\pt$ intervals considered in the analysis as a function of rapidity.

Left: Examples of fits to $\Dzero$ (top), $\Dplus$ (middle) and $\Dstar$ (bottom) impact-parameter distributions in the $\pt$ intervals $3<\pt<4~\gevc$, $5<\pt<6~\gevc$ and $6<\pt<8~\gevc$, respectively. The curves show the fit functions describing the prompt, feed-down and background contributions, as well as their sum, as described in the text. Right: fraction of prompt $\Dzero$ (top), $\Dplus$ (middle) and $\Dstar$ (bottom) raw yield as a function of $\pt$ compared to the FONLL-based approach. The results from the data-driven method are shown as square markers with the error bars (boxes) representing the statistical (systematic) uncertainty. The arrow in the interval $1<\pt<2~\gev/c$ represents the minimum value within a 95\% confidence level. The central values of $f_{\rm prompt}$ from the FONLL-based approach are shown by the dashed line and their uncertainty by the red boxes.

Left: Examples of fits to $\Dzero$ (top), $\Dplus$ (middle) and $\Dstar$ (bottom) impact-parameter distributions in the $\pt$ intervals $3<\pt<4~\gevc$, $5<\pt<6~\gevc$ and $6<\pt<8~\gevc$, respectively. The curves show the fit functions describing the prompt, feed-down and background contributions, as well as their sum, as described in the text. Right: fraction of prompt $\Dzero$ (top), $\Dplus$ (middle) and $\Dstar$ (bottom) raw yield as a function of $\pt$ compared to the FONLL-based approach. The results from the data-driven method are shown as square markers with the error bars (boxes) representing the statistical (systematic) uncertainty. The arrow in the interval $1<\pt<2~\gev/c$ represents the minimum value within a 95\% confidence level. The central values of $f_{\rm prompt}$ from the FONLL-based approach are shown by the dashed line and their uncertainty by the red boxes.

Invariant-mass distributions of $\DtoKpi$ candidates (and charge conjugates) in pp collisions at $\sqrts=7~\TeV$ for two $\pt$ intervals: $0<\pt<1~\gev/c$ (top panels) and $1<\pt<2~\gev/c$ (bottom panels). For both $\pt$ intervals, the left panels display the invariant-mass distribution of all ULS K$\pi$ pairs together with the background distributions estimated with the LS, event-mixing and track-rotation techniques. The middle and right panels show the invariant-mass distributions after subtraction of the background from the track-rotation and LS techniques. Fit functions are superimposed.

Invariant-mass distributions of $\DtoKpi$ candidates (and charge conjugates) in pp collisions at $\sqrts=7~\TeV$ for two $\pt$ intervals: $0<\pt<1~\gev/c$ (top panels) and $1<\pt<2~\gev/c$ (bottom panels). For both $\pt$ intervals, the left panels display the invariant-mass distribution of all ULS K$\pi$ pairs together with the background distributions estimated with the LS, event-mixing and track-rotation techniques. The middle and right panels show the invariant-mass distributions after subtraction of the background from the track-rotation and LS techniques. Fit functions are superimposed.

Invariant-mass distributions of $\DtoKpi$ candidates (and charge conjugates) in pp collisions at $\sqrts=7~\TeV$ for two $\pt$ intervals: $0<\pt<1~\gev/c$ (top panels) and $1<\pt<2~\gev/c$ (bottom panels). For both $\pt$ intervals, the left panels display the invariant-mass distribution of all ULS K$\pi$ pairs together with the background distributions estimated with the LS, event-mixing and track-rotation techniques. The middle and right panels show the invariant-mass distributions after subtraction of the background from the track-rotation and LS techniques. Fit functions are superimposed.

Invariant-mass distributions of $\DtoKpi$ candidates (and charge conjugates) in pp collisions at $\sqrts=7~\TeV$ for two $\pt$ intervals: $0<\pt<1~\gev/c$ (top panels) and $1<\pt<2~\gev/c$ (bottom panels). For both $\pt$ intervals, the left panels display the invariant-mass distribution of all ULS K$\pi$ pairs together with the background distributions estimated with the LS, event-mixing and track-rotation techniques. The middle and right panels show the invariant-mass distributions after subtraction of the background from the track-rotation and LS techniques. Fit functions are superimposed.

Invariant-mass distributions of $\DtoKpi$ candidates (and charge conjugates) in p--Pb collisions at $\sqrtsNN=5.02~\TeV$ for two $\pt$ intervals: $0<\pt<1~\gev/c$ (top panels) and $1<\pt<2~\gev/c$ (bottom panels). For both $\pt$ intervals, the left panels display the invariant-mass distribution of all ULS K$\pi$ pairs together with the background distributions estimated with the LS, event-mixing and track-rotation techniques. The middle and right panels show the invariant-mass distributions after subtraction of the background from the event-mixing and side-band fit techniques. Fit functions are superimposed.

Invariant-mass distributions of $\DtoKpi$ candidates (and charge conjugates) in p--Pb collisions at $\sqrtsNN=5.02~\TeV$ for two $\pt$ intervals: $0<\pt<1~\gev/c$ (top panels) and $1<\pt<2~\gev/c$ (bottom panels). For both $\pt$ intervals, the left panels display the invariant-mass distribution of all ULS K$\pi$ pairs together with the background distributions estimated with the LS, event-mixing and track-rotation techniques. The middle and right panels show the invariant-mass distributions after subtraction of the background from the event-mixing and side-band fit techniques. Fit functions are superimposed.

Invariant-mass distributions of $\DtoKpi$ candidates (and charge conjugates) in p--Pb collisions at $\sqrtsNN=5.02~\TeV$ for two $\pt$ intervals: $0<\pt<1~\gev/c$ (top panels) and $1<\pt<2~\gev/c$ (bottom panels). For both $\pt$ intervals, the left panels display the invariant-mass distribution of all ULS K$\pi$ pairs together with the background distributions estimated with the LS, event-mixing and track-rotation techniques. The middle and right panels show the invariant-mass distributions after subtraction of the background from the event-mixing and side-band fit techniques. Fit functions are superimposed.

Invariant-mass distributions of $\DtoKpi$ candidates (and charge conjugates) in p--Pb collisions at $\sqrtsNN=5.02~\TeV$ for two $\pt$ intervals: $0<\pt<1~\gev/c$ (top panels) and $1<\pt<2~\gev/c$ (bottom panels). For both $\pt$ intervals, the left panels display the invariant-mass distribution of all ULS K$\pi$ pairs together with the background distributions estimated with the LS, event-mixing and track-rotation techniques. The middle and right panels show the invariant-mass distributions after subtraction of the background from the event-mixing and side-band fit techniques. Fit functions are superimposed.

Product of acceptance and efficiency in p--Pb collisions. The ${\rm Acc}\times\epsilon$ values from the analysis with decay-vertex reconstruction were rescaled to account for the different fiducial acceptance, $y_{\rm fid}(\pt)$, selection on the $\Dzero$ rapidity.

Product of acceptance and efficiency in p--Pb collisions. The ${\rm Acc}\times\epsilon$ values from the analysis with decay-vertex reconstruction were rescaled to account for the different fiducial acceptance, $y_{\rm fid}(\pt)$, selection on the $\Dzero$ rapidity.

$\pt$-differential production cross section of $\Dzero$ mesons with $|y|<0.5$ in pp collisions at $\sqrt s =7~\tev$. Left: comparison of prompt and inclusive $\Dzero$ mesons (the latter including also $\Dzero$ mesons from beauty-hadron decays) from the analysis without decay-vertex reconstruction. Right: comparison between the prompt $\Dzero$ cross sections measured with~\cite{ALICE:2011aa} and without decay-vertex reconstruction. Here and in all the following figures the symbols are plotted at the centre of the $\pt$ intervals (shown by the horizontal lines), the vertical lines represent the statistical uncertainties and the vertical size of the boxes corresponds to the systematic uncertainties.

$\pt$-differential production cross section of $\Dzero$ mesons with $|y|<0.5$ in pp collisions at $\sqrt s =7~\tev$. Left: comparison of prompt and inclusive $\Dzero$ mesons (the latter including also $\Dzero$ mesons from beauty-hadron decays) from the analysis without decay-vertex reconstruction. Right: comparison between the prompt $\Dzero$ cross sections measured with~\cite{ALICE:2011aa} and without decay-vertex reconstruction. Here and in all the following figures the symbols are plotted at the centre of the $\pt$ intervals (shown by the horizontal lines), the vertical lines represent the statistical uncertainties and the vertical size of the boxes corresponds to the systematic uncertainties.

$\pt$-differential production cross section of $\Dzero$ mesons with $|y|<0.5$ in pp collisions at $\sqrt s =7~\tev$. Left: comparison of prompt and inclusive $\Dzero$ mesons (the latter including also $\Dzero$ mesons from beauty-hadron decays) from the analysis without decay-vertex reconstruction. Right: comparison between the prompt $\Dzero$ cross sections measured with~\cite{ALICE:2011aa} and without decay-vertex reconstruction. Here and in all the following figures the symbols are plotted at the centre of the $\pt$ intervals (shown by the horizontal lines), the vertical lines represent the statistical uncertainties and the vertical size of the boxes corresponds to the systematic uncertainties.

$\pt$-differential production cross section of $\Dzero$ mesons with $|y|<0.5$ in pp collisions at $\sqrt s =7~\tev$. Left: comparison of prompt and inclusive $\Dzero$ mesons (the latter including also $\Dzero$ mesons from beauty-hadron decays) from the analysis without decay-vertex reconstruction. Right: comparison between the prompt $\Dzero$ cross sections measured with~\cite{ALICE:2011aa} and without decay-vertex reconstruction. Here and in all the following figures the symbols are plotted at the centre of the $\pt$ intervals (shown by the horizontal lines), the vertical lines represent the statistical uncertainties and the vertical size of the boxes corresponds to the systematic uncertainties.

$\pt$-differential production cross section of prompt $\Dzero$ mesons with $|y|<0.5$ in the interval $0<\pt<16~\gev/c$, in pp collisions at $\sqrt s =7~\tev$. The data points in $0<\pt<2~\gev/c$ are obtained from the analysis described in this article, while the data points in $2<\pt<16~\gev/c$ are taken from Ref~\cite{ALICE:2011aa}. The cross section is compared to three pQCD calculations: FONLL~\cite{Cacciari:2012ny} (top-left panel), GM-VFNS~\cite{Kniehl:2012ti} (top-right panel) and a leading order (LO) calculation based on $k_{\rm T}$-factorisation~\cite{Maciula:2013wg} (bottom-left panel). In the bottom-right panel, the ratios of the data to the three calculated cross sections are reported.

Left: $\pt$-differential production cross section of prompt $\Dzero$ mesons with $|y|<0.5$ in the interval $0<\pt<16~\gev/c$, in pp collisions at $\sqrt s =7~\tev$. The data points in $0<\pt<2~\gev/c$ are obtained from the analysis described in this article, while the data points in $2<\pt<16~\gev/c$ are taken from Ref~\cite{ALICE:2011aa}. The cross section is compared to three pQCD calculations: FONLL~\cite{Cacciari:2012ny}, GM-VFNS~\cite{Kniehl:2012ti} and a leading order (LO) calculation based on $k_{\rm T}$-factorisation~\cite{Maciula:2013wg}. Right: ratio of the data to the three calculated cross sections.

Left: $\pt$-differential production cross section of prompt $\Dzero$ mesons with $|y|<0.5$ in the interval $0<\pt<16~\gev/c$, in pp collisions at $\sqrt s =7~\tev$. The data points in $0<\pt<2~\gev/c$ are obtained from the analysis described in this article, while the data points in $2<\pt<16~\gev/c$ are taken from Ref~\cite{ALICE:2011aa}. The cross section is compared to three pQCD calculations: FONLL~\cite{Cacciari:2012ny}, GM-VFNS~\cite{Kniehl:2012ti} and a leading order (LO) calculation based on $k_{\rm T}$-factorisation~\cite{Maciula:2013wg}. Right: ratio of the data to the three calculated cross sections.

$\pt$-differential production cross section of prompt $\Dzero$ mesons with $|y|<0.5$ in the interval $0<\pt<16~\gev/c$, in pp collisions at $\sqrt s =7~\tev$. The data points in $0<\pt<2~\gev/c$ are obtained from the analysis described in this article, while the data points in $2<\pt<16~\gev/c$ are taken from Ref~\cite{ALICE:2011aa}. The cross section is compared to three pQCD calculations: FONLL~\cite{Cacciari:2012ny} (top-left panel), GM-VFNS~\cite{Kniehl:2012ti} (top-right panel) and a leading order (LO) calculation based on $k_{\rm T}$-factorisation~\cite{Maciula:2013wg} (bottom-left panel). In the bottom-right panel, the ratios of the data to the three calculated cross sections are reported.

Total inclusive charm production cross section in nucleon--nucleon collisions as a function of $\sqrt{s}$~\cite{Lourenco:2006vw,Adare:2010de,Adamczyk:2012af,Aaij:2013mga,Abelev:2012vra,Aad:2015zix}. Data are from pA collisions for $\sqrt s<100$~GeV and from pp collisions for $\sqrt s>100$~GeV. Data from pA collisions were scaled by $1/A$. Results from NLO pQCD calculations (MNR~\cite{Mangano:1991jk}) and their uncertainties are shown as solid and dashed lines.

$\pt$-differential production cross section of prompt $\Dzero$ mesons with $|y|<0.5$ in the interval $0<\pt<16~\gev/c$, in pp collisions at $\sqrt s =7~\tev$. The data points in $0<\pt<2~\gev/c$ are obtained from the analysis described in this article, while the data points in $2<\pt<16~\gev/c$ are taken from Ref~\cite{ALICE:2011aa}. The cross section is compared to three pQCD calculations: FONLL~\cite{Cacciari:2012ny} (top-left panel), GM-VFNS~\cite{Kniehl:2012ti} (top-right panel) and a leading order (LO) calculation based on $k_{\rm T}$-factorisation~\cite{Maciula:2013wg} (bottom-left panel). In the bottom-right panel, the ratios of the data to the three calculated cross sections are reported.

$\pt$-differential production cross section of $\Dzero$ mesons with $-0.96<y_{\rm cms}<0.04$ in p--Pb collisions at $\sqrtsNN =5.02~\tev$. Left: comparison of prompt and inclusive $\Dzero$ mesons (the latter including also $\Dzero$ mesons from beauty-hadron decays) from the analysis without decay-vertex reconstruction. Right: comparison between the prompt $\Dzero$ cross sections measured with~\cite{Abelev:2014hha} and without decay-vertex reconstruction.

$\pt$-differential production cross section of prompt $\Dzero$ mesons with $|y|<0.5$ in the interval $0<\pt<16~\gev/c$, in pp collisions at $\sqrt s =7~\tev$. The data points in $0<\pt<2~\gev/c$ are obtained from the analysis described in this article, while the data points in $2<\pt<16~\gev/c$ are taken from Ref~\cite{ALICE:2011aa}. The cross section is compared to three pQCD calculations: FONLL~\cite{Cacciari:2012ny} (top-left panel), GM-VFNS~\cite{Kniehl:2012ti} (top-right panel) and a leading order (LO) calculation based on $k_{\rm T}$-factorisation~\cite{Maciula:2013wg} (bottom-left panel). In the bottom-right panel, the ratios of the data to the three calculated cross sections are reported.

Total inclusive charm production cross section in nucleon--nucleon collisions as a function of $\sqrt{s}$~\cite{Lourenco:2006vw,Adare:2010de,Adamczyk:2012af,Aaij:2013mga,Abelev:2012vra,Aad:2015zix}. Data are from pA collisions for $\sqrt s<100$~GeV and from pp collisions for $\sqrt s>100$~GeV. Data from pA collisions were scaled by $1/A$. Results from NLO pQCD calculations (MNR~\cite{Mangano:1991jk}) and their uncertainties are shown as solid and dashed lines.

$\pt$-differential production cross section of $\Dzero$ mesons with $-0.96<y_{\rm cms}<0.04$ in p--Pb collisions at $\sqrtsNN =5.02~\tev$. Left: comparison of prompt and inclusive $\Dzero$ mesons (the latter including also $\Dzero$ mesons from beauty-hadron decays) from the analysis without decay-vertex reconstruction. Right: comparison between the prompt $\Dzero$ cross sections measured with~\cite{Abelev:2014hha} and without decay-vertex reconstruction.

$\pt$-differential production cross sections of prompt $\Dzero$ (top-left), $\Dplus$ (top-right), $\Dstar$ (bottom-left) and $\Ds$ (bottom-right) mesons with $-0.96<y_{\rm cms}<0.04$ in p--Pb collisions at $\sqrtsNN=5.02~\tev$, compared with the respective pp reference cross sections scaled by the Pb mass number $A=208$. For the $\Dzero$ meson, the results in $0<\pt<2~\gev/c$ are obtained from the analysis without decay-vertex reconstruction, while those in $2<\pt<24~\gev/c$ are taken from the analysis with decay-vertex reconstruction. The results from the other three D-meson species are the same as in Ref.~\cite{Abelev:2014hha}. For the p--Pb results, the systematic uncertainty of the feed-down correction is displayed separately.

$\pt$-differential production cross section of $\Dzero$ mesons with $-0.96<y_{\rm cms}<0.04$ in p--Pb collisions at $\sqrtsNN =5.02~\tev$. Left: comparison of prompt and inclusive $\Dzero$ mesons (the latter including also $\Dzero$ mesons from beauty-hadron decays) from the analysis without decay-vertex reconstruction. Right: comparison between the prompt $\Dzero$ cross sections measured with~\cite{Abelev:2014hha} and without decay-vertex reconstruction.

$\pt$-differential production cross section of $\Dzero$ mesons with $-0.96<y_{\rm cms}<0.04$ in p--Pb collisions at $\sqrtsNN =5.02~\tev$. Left: comparison of prompt and inclusive $\Dzero$ mesons (the latter including also $\Dzero$ mesons from beauty-hadron decays) from the analysis without decay-vertex reconstruction. Right: comparison between the prompt $\Dzero$ cross sections measured with~\cite{Abelev:2014hha} and without decay-vertex reconstruction.

$\pt$-differential production cross sections of prompt $\Dzero$ (top-left), $\Dplus$ (top-right), $\Dstar$ (bottom-left) and $\Ds$ (bottom-right) mesons with $-0.96<y_{\rm cms}<0.04$ in p--Pb collisions at $\sqrtsNN=5.02~\tev$, compared with the respective pp reference cross sections scaled by the Pb mass number $A=208$. For the $\Dzero$ meson, the results in $0<\pt<2~\gev/c$ are obtained from the analysis without decay-vertex reconstruction, while those in $2<\pt<24~\gev/c$ are taken from the analysis with decay-vertex reconstruction. The results from the other three D-meson species are the same as in Ref.~\cite{Abelev:2014hha}. For the p--Pb results, the systematic uncertainty of the feed-down correction is displayed separately.

$\pt$-differential production cross sections of prompt $\Dzero$ (top-left), $\Dplus$ (top-right), $\Dstar$ (bottom-left) and $\Ds$ (bottom-right) mesons with $-0.96<y_{\rm cms}<0.04$ in p--Pb collisions at $\sqrtsNN=5.02~\tev$, compared with the respective pp reference cross sections scaled by the Pb mass number $A=208$. For the $\Dzero$ meson, the results in $0<\pt<2~\gev/c$ are obtained from the analysis without decay-vertex reconstruction, while those in $2<\pt<24~\gev/c$ are taken from the analysis with decay-vertex reconstruction. The results from the other three D-meson species are the same as in Ref.~\cite{Abelev:2014hha}. The systematic uncertainty of the feed-down correction is displayed separately.

$\pt$-differential production cross sections of prompt $\Dzero$ (top-left), $\Dplus$ (top-right), $\Dstar$ (bottom-left) and $\Ds$ (bottom-right) mesons with $-0.96<y_{\rm cms}<0.04$ in p--Pb collisions at $\sqrtsNN=5.02~\tev$, compared with the respective pp reference cross sections scaled by the Pb mass number $A=208$. For the $\Dzero$ meson, the results in $0<\pt<2~\gev/c$ are obtained from the analysis without decay-vertex reconstruction, while those in $2<\pt<24~\gev/c$ are taken from the analysis with decay-vertex reconstruction. The results from the other three D-meson species are the same as in Ref.~\cite{Abelev:2014hha}. For the p--Pb results, the systematic uncertainty of the feed-down correction is displayed separately.

$\pt$-differential production cross sections of prompt $\Dzero$ (top-left), $\Dplus$ (top-right), $\Dstar$ (bottom-left) and $\Ds$ (bottom-right) mesons with $-0.96<y_{\rm cms}<0.04$ in p--Pb collisions at $\sqrtsNN=5.02~\tev$, compared with the respective pp reference cross sections scaled by the Pb mass number $A=208$. For the $\Dzero$ meson, the results in $0<\pt<2~\gev/c$ are obtained from the analysis without decay-vertex reconstruction, while those in $2<\pt<24~\gev/c$ are taken from the analysis with decay-vertex reconstruction. The results from the other three D-meson species are the same as in Ref.~\cite{Abelev:2014hha}. The systematic uncertainty of the feed-down correction is displayed separately.

$\pt$-differential production cross sections of prompt $\Dzero$ (top-left), $\Dplus$ (top-right), $\Dstar$ (bottom-left) and $\Ds$ (bottom-right) mesons with $-0.96<y_{\rm cms}<0.04$ in p--Pb collisions at $\sqrtsNN=5.02~\tev$, compared with the respective pp reference cross sections scaled by the Pb mass number $A=208$. For the $\Dzero$ meson, the results in $0<\pt<2~\gev/c$ are obtained from the analysis without decay-vertex reconstruction, while those in $2<\pt<24~\gev/c$ are taken from the analysis with decay-vertex reconstruction. The results from the other three D-meson species are the same as in Ref.~\cite{Abelev:2014hha}. For the p--Pb results, the systematic uncertainty of the feed-down correction is displayed separately.

$\pt$-differential production cross sections of prompt $\Dzero$ (top-left), $\Dplus$ (top-right), $\Dstar$ (bottom-left) and $\Ds$ (bottom-right) mesons with $-0.96<y_{\rm cms}<0.04$ in p--Pb collisions at $\sqrtsNN=5.02~\tev$, compared with the respective pp reference cross sections scaled by the Pb mass number $A=208$. For the $\Dzero$ meson, the results in $0<\pt<2~\gev/c$ are obtained from the analysis without decay-vertex reconstruction, while those in $2<\pt<24~\gev/c$ are taken from the analysis with decay-vertex reconstruction. The results from the other three D-meson species are the same as in Ref.~\cite{Abelev:2014hha}. The systematic uncertainty of the feed-down correction is displayed separately.

Ratios of prompt D-meson production cross sections as a function of $\pt$ in pp collisions at $\sqrt s=7~\tev$ ($|y_{\rm cms}|<0.5$) and p--Pb collisions at $\sqrtsNN=5.02~\tev$ ($-0.96<y_{\rm cms}<0.04$).

Production cross sections as a function of rapidity ($y_{\rm cms}$) for prompt $\Dzero$, $\Dplus$ and $\Dstar$ mesons in p--Pb collisions at $\sqrtsNN=5.02~\tev$, for three $\pt$ intervals. The $\Dzero$-meson data are compared with a cross section obtained by multiplying the FONLL~\cite{Cacciari:2012ny} calculation by the mass number $A$ and the nuclear modification factor $R_{\rm pA}$ estimated as a function of $y$ with the MNR NLO pQCD calculation~\cite{Mangano:1991jk}, with CTEQ6M PDFs~\cite{Pumplin:2002vw} and the EPS09NLO nuclear PDF parametrisation~\cite{Eskola:2009uj}.

$\pt$-differential production cross sections of prompt $\Dzero$ (top-left), $\Dplus$ (top-right), $\Dstar$ (bottom-left) and $\Ds$ (bottom-right) mesons with $-0.96<y_{\rm cms}<0.04$ in p--Pb collisions at $\sqrtsNN=5.02~\tev$, compared with the respective pp reference cross sections scaled by the Pb mass number $A=208$. For the $\Dzero$ meson, the results in $0<\pt<2~\gev/c$ are obtained from the analysis without decay-vertex reconstruction, while those in $2<\pt<24~\gev/c$ are taken from the analysis with decay-vertex reconstruction. The results from the other three D-meson species are the same as in Ref.~\cite{Abelev:2014hha}. The systematic uncertainty of the feed-down correction is displayed separately.

Production cross sections as a function of rapidity ($y_{\rm cms}$) for prompt $\Dzero$, $\Dplus$ and $\Dstar$ mesons in p--Pb collisions at $\sqrtsNN=5.02~\tev$, for three $\pt$ intervals. The $\Dzero$-meson data are compared with a cross section obtained by multiplying the FONLL~\cite{Cacciari:2012ny} calculation by the mass number $A$ and the nuclear modification factor $R_{\rm pA}$ estimated as a function of $y$ with the MNR NLO pQCD calculation~\cite{Mangano:1991jk}, with CTEQ6M PDFs~\cite{Pumplin:2002vw} and the EPS09NLO nuclear PDF parametrisation~\cite{Eskola:2009uj}.

Ratios of prompt D-meson production cross sections as a function of $\pt$ in pp collisions at $\sqrt s=7~\tev$ ($|y_{\rm cms}|<0.5$) and p--Pb collisions at $\sqrtsNN=5.02~\tev$ ($-0.96<y_{\rm cms}<0.04$).

Production cross sections as a function of rapidity ($y_{\rm cms}$) for prompt $\Dzero$, $\Dplus$ and $\Dstar$ mesons in p--Pb collisions at $\sqrtsNN=5.02~\tev$, for three $\pt$ intervals. The $\Dzero$-meson data are compared with a cross section obtained by multiplying the FONLL~\cite{Cacciari:2012ny} calculation by the mass number $A$ and the nuclear modification factor $R_{\rm pA}$ estimated as a function of $y$ with the MNR NLO pQCD calculation~\cite{Mangano:1991jk}, with CTEQ6M PDFs~\cite{Pumplin:2002vw} and the EPS09NLO nuclear PDF parametrisation~\cite{Eskola:2009uj}.

Production cross sections as a function of rapidity ($y_{\rm cms}$) for prompt $\Dzero$, $\Dplus$ and $\Dstar$ mesons in p--Pb collisions at $\sqrtsNN=5.02~\tev$, for three $\pt$ intervals. The $\Dzero$-meson data are compared with a cross section obtained by multiplying the FONLL~\cite{Cacciari:2012ny} calculation by the mass number $A$ and the nuclear modification factor $R_{\rm pA}$ estimated as a function of $y$ with the MNR NLO pQCD calculation~\cite{Mangano:1991jk}, with CTEQ6M PDFs~\cite{Pumplin:2002vw} and the EPS09NLO nuclear PDF parametrisation~\cite{Eskola:2009uj}.

Nuclear modification factor $R_{\rm pPb}$ of prompt D mesons in p--Pb collisions at $\sqrtsNN=5.02~\tev$~\cite{Abelev:2014hha}. Left: $R_{\rm pPb}$ of $\Dzero$, $\Dplus$ and $\Dstar$ mesons. Right: average $R_{\rm pPb}$ of the three non-strange D-meson species and $R_{\rm pPb}$ of $\Ds$ mesons. All results are obtained from the analysis with decay-vertex reconstruction.

Production cross sections as a function of rapidity ($y_{\rm cms}$) for prompt $\Dzero$, $\Dplus$ and $\Dstar$ mesons in p--Pb collisions at $\sqrtsNN=5.02~\tev$, for three $\pt$ intervals. The $\Dzero$-meson data are compared with a cross section obtained by multiplying the FONLL~\cite{Cacciari:2012ny} calculation by the mass number $A$ and the nuclear modification factor $R_{\rm pA}$ estimated as a function of $y$ with the MNR NLO pQCD calculation~\cite{Mangano:1991jk}, with CTEQ6M PDFs~\cite{Pumplin:2002vw} and the EPS09NLO nuclear PDF parametrisation~\cite{Eskola:2009uj}.

Production cross sections as a function of rapidity ($y_{\rm cms}$) for prompt $\Dzero$, $\Dplus$ and $\Dstar$ mesons in p--Pb collisions at $\sqrtsNN=5.02~\tev$, for three $\pt$ intervals. The $\Dzero$-meson data are compared with a cross section obtained by multiplying the FONLL~\cite{Cacciari:2012ny} calculation by the mass number $A$ and the nuclear modification factor $R_{\rm pA}$ estimated as a function of $y$ with the MNR NLO pQCD calculation~\cite{Mangano:1991jk}, with CTEQ6M PDFs~\cite{Pumplin:2002vw} and the EPS09NLO nuclear PDF parametrisation~\cite{Eskola:2009uj}.

Nuclear modification factor $R_{\rm pPb}$ of prompt D mesons in p--Pb collisions at $\sqrtsNN=5.02~\tev$~\cite{Abelev:2014hha}. Left: $R_{\rm pPb}$ of $\Dzero$, $\Dplus$ and $\Dstar$ mesons. Right: average $R_{\rm pPb}$ of the three non-strange D-meson species and $R_{\rm pPb}$ of $\Ds$ mesons. All results are obtained from the analysis with decay-vertex reconstruction.

Comparison of the nuclear modification factors of prompt $\Dzero$ mesons as obtained in the analysis with decay-vertex reconstruction~\cite{Abelev:2014hha} and in the analysis without decay-vertex reconstruction.

Nuclear modification factor $R_{\rm pPb}$ of prompt D mesons in p--Pb collisions at $\sqrtsNN=5.02~\tev$~\cite{Abelev:2014hha}. Left: $R_{\rm pPb}$ of $\Dzero$, $\Dplus$ and $\Dstar$ mesons. Right: average $R_{\rm pPb}$ of the three non-strange D-meson species and $R_{\rm pPb}$ of $\Ds$ mesons. All results are obtained from the analysis with decay-vertex reconstruction.

Nuclear modification factor $R_{\rm pPb}$ of prompt D mesons in p--Pb collisions at $\sqrtsNN=5.02~\tev$: average $R_{\rm pPb}$ of $\Dzero$, $\Dplus$ and $\Dstar$ mesons in the interval $1<\pt<24~\gev/c$~\cite{Abelev:2014hha}, shown together with the $\Dzero$ $R_{\rm pPb}$ in $0<\pt<1~\GeV/c$. In the left-hand panel, the data are compared with results of theoretical calculations including only CNM effects: CGC~\cite{Fujii:2013yja}, NLO pQCD~\cite{Mangano:1991jk} with EPS09 nPDFs~\cite{Eskola:2009uj}, a LO pQCD calculation with CNM effects (Vitev et al.)~\cite{Sharma:2009hn} and a calculation based on incoherent multiple scatterings (Kang et al.)~\cite{Kang:2014hha}. In the right-hand panel, the results of the Duke~\cite{Xu:2015iha} and POWLANG~\cite{Beraudo:2015wsd} transport models are compared to the measured D-meson $R_{\rm pPb}$.

Nuclear modification factor $R_{\rm pPb}$ of prompt D mesons in p--Pb collisions at $\sqrtsNN=5.02~\tev$~\cite{Abelev:2014hha}. Left: $R_{\rm pPb}$ of $\Dzero$, $\Dplus$ and $\Dstar$ mesons. Right: average $R_{\rm pPb}$ of the three non-strange D-meson species and $R_{\rm pPb}$ of $\Ds$ mesons. All results are obtained from the analysis with decay-vertex reconstruction.

Nuclear modification factor $R_{\rm pPb}$ of prompt D mesons in p--Pb collisions at $\sqrtsNN=5.02~\tev$: average $R_{\rm pPb}$ of $\Dzero$, $\Dplus$ and $\Dstar$ mesons in the interval $1<\pt<24~\gev/c$~\cite{Abelev:2014hha}, shown together with the $\Dzero$ $R_{\rm pPb}$ in $0<\pt<1~\GeV/c$. In the left-hand panel, the data are compared with results of theoretical calculations including only CNM effects: CGC~\cite{Fujii:2013yja}, NLO pQCD~\cite{Mangano:1991jk} with EPS09 nPDFs~\cite{Eskola:2009uj}, a LO pQCD calculation with CNM effects (Vitev et al.)~\cite{Sharma:2009hn} and a calculation based on incoherent multiple scatterings (Kang et al.)~\cite{Kang:2014hha}. In the right-hand panel, the results of the Duke~\cite{Xu:2015iha} and POWLANG~\cite{Beraudo:2015wsd} transport models are compared to the measured D-meson $R_{\rm pPb}$.

Comparison of the nuclear modification factors of prompt $\Dzero$ mesons as obtained in the analysis with decay-vertex reconstruction~\cite{Abelev:2014hha} and in the analysis without decay-vertex reconstruction.

Nuclear modification factor $R_{\rm pPb}$ of prompt D mesons in p--Pb collisions at $\sqrtsNN=5.02~\tev$: average $R_{\rm pPb}$ of $\Dzero$, $\Dplus$ and $\Dstar$ mesons in the interval $1<\pt<24~\gev/c$~\cite{Abelev:2014hha}, shown together with the $\Dzero$ $R_{\rm pPb}$ in $0<\pt<1~\GeV/c$. In the left-hand panel, the data are compared with results of theoretical calculations including only CNM effects: CGC~\cite{Fujii:2013yja}, NLO pQCD~\cite{Mangano:1991jk} with EPS09 nPDFs~\cite{Eskola:2009uj}, a LO pQCD calculation with CNM effects (Vitev et al.)~\cite{Sharma:2009hn} and a calculation based on incoherent multiple scatterings (Kang et al.)~\cite{Kang:2014hha}. In the right-hand panel, the results of the Duke~\cite{Xu:2015iha} and POWLANG~\cite{Beraudo:2015wsd} transport models are compared to the measured D-meson $R_{\rm pPb}$.

Nuclear modification factor $R_{\rm pPb}$ of prompt D mesons in p--Pb collisions at $\sqrtsNN=5.02~\tev$: average $R_{\rm pPb}$ of $\Dzero$, $\Dplus$ and $\Dstar$ mesons in the interval $1<\pt<24~\gev/c$~\cite{Abelev:2014hha}, shown together with the $\Dzero$ $R_{\rm pPb}$ in $0<\pt<1~\GeV/c$. In the left-hand panel, the data are compared with results of theoretical calculations including only CNM effects: CGC~\cite{Fujii:2013yja}, NLO pQCD~\cite{Mangano:1991jk} with EPS09 nPDFs~\cite{Eskola:2009uj}, a LO pQCD calculation with CNM effects (Vitev et al.)~\cite{Sharma:2009hn} and a calculation based on incoherent multiple scatterings (Kang et al.)~\cite{Kang:2014hha}. In the right-hand panel, the results of the Duke~\cite{Xu:2015iha} and POWLANG~\cite{Beraudo:2015wsd} transport models are compared to the measured D-meson $R_{\rm pPb}$.