Measurement of the dependence of the hadron production fraction ratio $f_{\mathrm{s}}\mathrm{/}{f}_{\mathrm{u}}$ and $f_{\mathrm{d}}\mathrm{/}{f}_{\mathrm{u}}$ on B meson kinematic variables in proton-proton collisions at $\sqrt{s}$ = 13 TeV

The dependence of the ratio between the B${}_{\mathrm{s}}^0$ and B${}^{+}$ hadron production fractions, $f_{\mathrm{s}}\mathrm{/}{f}_{\mathrm{u}}$, on the transverse momentum ($p_{\mathrm{T}}$) and rapidity of the B mesons is studied using the decay channels B${}_{\mathrm{s}}^0$ $\to$ J$\mathrm{/}\psi \phi$ and B${}^{+}$ $\to$ J$\mathrm{/}\psi$ K${}^{+}$. The analysis uses a data sample of proton-proton collisions at a center-of-mass energy of 13 TeV, collected by the CMS experiment in 2018 and corresponding to an integrated luminosity of 61.6 fb${}^{-1}$. The $f_{\mathrm{s}}\mathrm{/}{f}_{\mathrm{u}}$ ratio is observed to depend on the B $p_{\mathrm{T}}$ and to be consistent with becoming asymptotically constant at large $p_{\mathrm{T}}$. No rapidity dependence is observed. The ratio of the B${}^0$ to B${}^{+}$ hadron production fractions, $f_{\mathrm{d}}\mathrm{/}{f}_{\mathrm{u}}$, measured using the B${}^0$ $\to$ J$\mathrm{/}\psi$ K${}^{\ast 0}$ decay channel, is found to be consistent with unity and independent of $p_{\mathrm{T}}$ and rapidity, as expected from isospin invariance.