Transverse momentum dependent feed-down fractions for bottomonium production
We extract transverse-momentum-dependent feed-down fractions for bottomonium production using a data-driven approach. We use data published by the ATLAS, CMS, and LHCb Collaborations for √𝑠 =7 TeV proton-proton collisions. Based on this collected data, we produce fits to the differential cross sections for the production of both 𝑆- and 𝑃-wave bottomonium states. Combining these fits with branching ratios for excited state decays from the Particle Data Group, we compute the feed-down fractions for both the ϒ(1𝑆) and ϒ(2𝑆) as a function of transverse momentum. Our results indicate a strong dependence on transverse momentum, which is consistent with prior extractions of the feed-down fractions. When evaluated at the average momentum of the states, we find that approximately 75% of ϒ(1𝑆) and ϒ(2𝑆) states are produced directly. Our results for the transverse-momentum-dependent feed-down fractions are provided in tabulated form so that they can be used by other research groups.