Measurement of the Dependence of the Hadron Production Fraction Ratios $f_s / f_u$ and $f_d / f_u$ on $B$ Meson Kinematic Variables in Proton-Proton Collisions at $\sqrt{s} = 13 TeV$

The dependence of the ratio between the $B^0_s$ and $B^+$ hadron production fractions, $f_s/f_u$, on the transverse momentum $(p_T)$ and rapidity of the $B$ mesons is studied using the decay channels $B^0_s→J/ψϕ$ and $B^+→J/ψK^+$. 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 $f_s/f_u$ ratio is observed to depend on the $B$ $p_T$ and to be consistent with becoming asymptotically constant at large $p_T$. No rapidity dependence is observed. The ratio of the $B^0$ to $B^+$ meson production fractions, $f_d/f_u$, is also measured, for the first time in proton-proton collisions, using the $B^0→J/ψK^{*0}$ decay channel. The result is found to be within 1 standard deviation of unity and independent of $pT$ and rapidity, as expected from isospin invariance.