Influence of strangeness on the anisotropic flow of prompt D${}_{\mathrm{s}}^{\pm }$ mesons in PbPb collisions at $\sqrt{s_{\mathrm{N}\mathrm{N}}}$ = 5.02 TeV

The azimuthal anisotropy of prompt D${}_{\mathrm{s}}^{\pm }$ mesons produced in lead-lead (PbPb) collisions at a nucleon-nucleon center-of-mass energy of 5.02 TeV is measured using data obtained with the CMS detector. The dataset corresponds to an integrated luminosity of 0.58 nb${}^{-1}$. The azimuthal anisotropy of heavy charmed mesons provides a key constraint on the interactions of charm quarks with the quark-gluon plasma (QGP) medium. These interactions include coalescence mechanisms and parton energy loss in the QGP. The anisotropy is quantified by the second- ($v_2$) and third-order ($v_3$) Fourier coefficients of the azimuthal distribution of the D${}_{\mathrm{s}}^{\pm }$ mesons. The $v_2$ coefficient is determined in the transverse momentum range 4 $<$ $p_{\mathrm{T}}$ $<$ 40 GeV for three event centrality classes, while the $v_3$ coefficient is measured in the range 4 $<$ $p_{\mathrm{T}}$ $<$ 20 GeV for a single event centrality class. The results for the D${}_{\mathrm{s}}^{\pm }$ mesons are compared to those previously measured for D${}^0$ mesons. The azimuthal anisotropy coefficients for D${}_{\mathrm{s}}^{\pm }$ and D${}^0$ mesons are found to be consistent within the precision of this measurement, suggesting that the strangeness content of the D${}_{\mathrm{s}}^{\pm }$ meson does not significantly alter its azimuthal distribution within the measured $p_{\mathrm{T}}$ range.