Measurement of prompt $D^{+}$ and $D_s^{+}$ production in $p\mathrm{P}\mathrm{b}$ collisions at $\sqrt{s_{\mathrm{N}\mathrm{N}}}=5.02$TeV

The production of prompt $D^{+}$ and $D_s^{+}$ mesons is studied in proton-lead collisions at a centre-of-mass energy of $\sqrt{s_{\mathrm{N}\mathrm{N}}}=5.02$TeV. The data sample corresponding to an integrated luminosity of $(1.58\pm 0.02){\mathrm{n}\mathrm{b}}^{-1}$ is collected by the LHCb experiment at the LHC. The differential production cross-sections are measured using $D^{+}$ and $D_s^{+}$ candidates with transverse momentum in the range of $0<p_{\mathrm{T}}<14\mathrm{G}\mathrm{e}\mathrm{V}\mathrm{/}c$ and rapidities in the ranges of $1.5<y^{\ast }<4.0$ and $-5.0<y^{\ast }<-2.5$ in the nucleon-nucleon centre-of-mass system. For both particles, the nuclear modification factor and the forward-backward production ratio are determined. These results are compared with theoretical models that include initial-state nuclear effects. In addition, measurements of the cross-section ratios between $D^{+}$, $D_s^{+}$ and $D^0$ mesons are presented, providing a baseline for studying the charm hadronization in lead-lead collisions at LHC energies.