Detecting the neutral top-pion at future muon colliders

The signals of the neutral top-pion π⁰_t at the first muon collider (FMC) are discussed by calculating its contributions to the processes μ⁺μ^-→bb¯ and μ⁺μ^-→t¯c. We find that the contributions to the process μ⁺μ^-→bb¯ are very small and the ratio of the signal over the square root of the background (S/(B)) is smaller than 0.2. However, in most of the parameter space, the π⁰_t can generate 36 and up to 649 observable t¯c events at the FMC. The signals of the neutral top-pion π⁰_t may be detected via the process μ⁺μ^-→t¯c at the FMC.