Tau Lepton Reconstruction at the Muon Collider: Cross Section Measurement of the H → τ+τ− Process

Studies of Higgs boson properties are crucial for the understanding of the standard model (SM), as the Higgs boson could couple to new particles and provide hints of physics beyond the SM (BSM). Among the proposed future colliders, the Muon Collider would allow unprecedented precision measurements of Higgs boson parameters. The goal of this study is to estimate the statistical uncertainty on the cross section of the \( H \to \tau^+ \tau^- \) process at a center-of-mass energy of 10 TeV. Tau leptons are reconstructed using the TauFinder algorithm. The efficiency of hadronic \( \tau\ (\tau_h) \) identification is found to be above 80% for 1-prong and about 50% for 3-prong decay modes. This study focuses on the fully hadronic final state of the \( H \to \tau^+ \tau^- \) decay. The main background processes are discussed and compared to the signal. The visible invariant mass is reconstructed and template fits are performed using Monte Carlo toy experiments. For an integrated luminosity of 10 ab−1 a relative statistical uncertainty on the signal cross section of Δσ/σ = 1.3% is obtained, reduced to 0.9% when two interaction points are assumed. Comparisons with sensitivities at other future colliders are also presented, and possible improvements to the analysis are discussed.