Pair Production of Singlet Vector-Like B Quarks in Boosted bZ Final States at a Muon Collider

We investigate the pair production of singlet vector-like bottom quarks at a future $10\mathrm{T}\mathrm{e}\mathrm{V}$ muon collider in the boosted $Zb$ final-state topology. The signal process is considered as ${\mu }^{+}{\mu }^{-}\to B\bar{B}\to (Zb)(Z\bar{b})$, with one $Z$ boson decaying leptonically and the other hadronically, leading to a final state with an opposite-sign same-flavour dilepton pair, multiple jets, and two $b$-tagged jets. Signal and Standard Model background events are generated at leading order with MadGraph5_\allowbreak aMC@NLO and subsequently interfaced with $\text{textsc}Pythia$~8 for parton showering and hadronization. Detector effects are simulated with $\text{textsc}Delphes$ using a muon-collider detector configuration. A cut-based analysis exploiting boosted kinematics, including hard leading-$b$-jet transverse momentum, small dilepton angular separation, and large hadronic activity, is performed to suppress the dominant $ZZjj$, $ZZb\bar{b}$, and $t\bar{t}$ backgrounds. Statistical sensitivities are evaluated with the Asimov approximation, including both zero and $10\mathrm{\%}$ background systematic uncertainty scenarios. For the singlet benchmark $\mathrm{B}\mathrm{R}(B\to bZ)=0.25$ and an integrated luminosity of $10{\mathrm{a}\mathrm{b}}^{-1}$, a $5\sigma$ discovery reach up to $M_B\simeq 4.3\mathrm{T}\mathrm{e}\mathrm{V}$ is obtained, reduced slightly to $M_B\simeq 4.2\mathrm{T}\mathrm{e}\mathrm{V}$ when systematic effects are included. These results demonstrate that a $10\mathrm{T}\mathrm{e}\mathrm{V}$ muon collider provides a powerful and clean environment for probing vector-like $B$ quarks well beyond present LHC limits.