Measurement of the ratio of the $𝐵^+_𝑐 → 𝐽/𝜓𝜏^+𝜈_𝜏$ and $𝐵^+_𝑐 → 𝐽/𝜓𝜇^+𝜈_𝜇$ branching fractions using three-prong 𝜏 lepton decays
The ratio between the $𝐵^+_𝑐 → 𝐽/𝜓𝜏^+𝜈_𝜏$ and $𝐵^+_𝑐 → 𝐽/𝜓𝜇^+𝜈_𝜇$ branching fractions is measured using a data sample of proton-proton collisions collected by CMS at a center-of-mass energy of 13 TeV in the years 2016–2018 and corresponding to an integrated luminosity of 138 fb −1 . The 𝐽/𝜓 meson is identified through its 𝐽/𝜓 → 𝜇 + 𝜇 − decay and the tau lepton is reconstructed in the hadronic three-prong final state. The measured ratio of branching fractions in this tau decay mode, ℛ had 𝐽/𝜓 = $1.04^{+0.50}_{−0.44}$, is combined with the previous analysis based on the 𝜏 + $→ 𝜇^+𝜈_𝜇\bar{𝜈}_𝜏$ leptonic decay channel, leading to ℛ 𝐽/𝜓 = 0.49 ± 0.26. As this result is consistent with the standard model prediction of 0.258 ± 0.004, no evidence of lepton flavor universality violation is found.