Measurement of $B_c^{+}$ production in proton-proton collisions at $\sqrt{s}=8$ TeV

Production of $B_c^{+}$ mesons in proton-proton collisions at a center-of-mass energy of 8 TeV is studied with data corresponding to an integrated luminosity of $2.0{\mathrm{f}\mathrm{b}}^{-1}$ recorded by the LHCb experiment. The ratio of production cross-sections times branching fractions between the $B_c^{+}\to J\mathrm{/}\psi {\pi }^{+}$ and $B^{+}\to J\mathrm{/}\psi K^{+}$ decays is measured as a function of transverse momentum and rapidity in the regions $0<p_{\mathrm{T}}<20\mathrm{G}\mathrm{e}\mathrm{V}\mathrm{/}c$ and $2.0 < y < 4.5$\mathrm{.}Theratiointhiskinematicrangeismeasuredtobe$(0.683\pm0.018\pm0.009)%$, where the first uncertainty is statistical and the second systematic.