Production of muons from heavy-flavour hadron decays in p-Pb collisions at $\sqrt{s_{\mathrm{N}\mathrm{N}}}=5.02$ TeV

The production of muons from heavy-flavour hadron decays in p-Pb collisions at $\sqrt{{\mathit{\text{s}}}_{\mathrm{N}\mathrm{N}}}=5.02$ TeV was studied for $2<p_{\mathrm{T}}<16$ GeV/$c$ with the ALICE detector at the CERN LHC. The measurement was performed at forward (p-going direction) and backward (Pb-going direction) rapidity, in the ranges of rapidity in the center-of-mass system (cms) $2.03<y_{\rm cms}<3.53$and$-4.46<y_{\rm cms}<-2.96$, respectively. The production cross sections and nuclear modification factors are presented as a function of transverse momentum ($p_{\mathrm{T}}$). At forward rapidity, the nuclear modification factor is compatible with unity while at backward rapidity, in the interval $2.5<p_{\mathrm{T}}<3.5$ GeV/$c$, it is above unity by more than 2$\sigma$. The ratio of the forward-to-backward production cross sections is also measured in the overlapping interval $2.96<\mathrm{\mid }{y}_{\mathrm{c}\mathrm{m}\mathrm{s}}\mathrm{\mid }<3.53$ and is smaller than unity by 3.7$\sigma$ in $2.5<p_{\mathrm{T}}<3.5$ GeV/$c$. The data are described by model calculations including cold nuclear matter effects.