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Description
We perform a model-exhaustive analysis of all possible beyond Standard Model (BSM) solutions to the (g−2)μ anomaly to study production of the associated new states at future muon colliders. We formulate a no-lose theorem for the discovery of new physics if the anomaly is confirmed and weakly coupled solutions below the GeV scale are excluded by upcoming low-energy experiments. Our goal is to find the highest possible mass scale of new physics subject only to perturbative unitarity, and optionally the requirements of minimum flavour violation (MFV) and/or naturalness. We prove that a 3 TeV muon collider is guaranteed to discover all BSM scenarios in which Δaμ is generated by SM singlets with masses above ~GeV. If new states with electroweak quantum numbers contribute to (g−2)μ, the minimal requirements of perturbative unitarity guarantee new charged states below ~(100 TeV), but this is strongly disfavoured by stringent constraints on charged lepton flavour violating (CLFV) decays. Reasonable BSM theories that satisfy CLFV bounds by obeying Minimal Flavour Violation (MFV) and/or avoid generating two hierarchy problems require the existence of at least one new charged state below ~10−20 TeV. This strongly motivates the construction of high-energy muon colliders, which are then guaranteed to discover new physics in case the (g−2)μ anomaly is confirmed.
Organised by
Mariangela Lisanti
