LAUSR

We study the flavor-changing decay h → τ μ with τ = τ − +τ + and μ = μ− +μ+ of a Higgs boson at future hadron colliders, namely: a) High Luminosity Large Hadron Collider, b) High Energy Large Hadron Collider and c) Future hadron-hadron Circular Collider. The theoretical framework adopted is the Two-Higgs-Doublet Model type III. The free model parameters involved in the calculation are constrained through Higgs boson data, Lepton Flavor Violating processes and the muon anomalous magnetic dipole moment; later they are used to analyze the branching ratio of the decay h → τ μ and to evaluate the gg → h production cross section. We find that at the Large Hadron Collider is not possible to claim for evidence of the decay h → τ μ achieving a signal significance about of 1.46σ by considering its final integrated luminosity, 300 fb−1. More promising results arise at the High Luminosity Large Hadron Collider in which a prediction of 4.6σ when an integrated luminosity of 3 ab−1 and tan β = 8 are achieved. Meanwhile, at the High Energy Large Hadron Collider (Future hadron-hadron Circular Collider) a potential discovery could be claimed with a signal significance around 5.04σ (5.43σ) for an integrated luminosity of 3 ab−1 and tan β = 8 (5 ab−1 and tan β = 4).