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M3: a new muon missing momentum experiment to probe(g−2) µ and dark matter at Fermilab

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abstract

New light, weakly-coupled particles are commonly invoked to address the persistent $\sim 4\sigma$ anomaly in $(g-2)_\mu$ and serve as mediators between dark and visible matter. If such particles couple predominantly to heavier generations and decay invisibly, much of their best-motivated parameter space is inaccessible with existing experimental techniques. In this paper, we present a new fixed-target, missing-momentum search strategy to probe invisibly decaying particles that couple preferentially to muons. In our setup, a relativistic muon beam impinges on a thick active target. The signal consists of events in which a muon loses a large fraction of its incident momentum inside the target without initiating any detectable electromagnetic or hadronic activity in downstream veto systems. We propose a two-phase experiment, M$^3$ (Muon Missing Momentum), based at Fermilab. Phase 1 with $\sim 10^{10}$ muons on target can test the remaining parameter space for which light invisibly-decaying particles can resolve the $(g-2)_\mu$ anomaly, while Phase 2 with $\sim 10^{13}$ muons on target can test much of the predictive parameter space over which sub-GeV dark matter achieves freeze-out via muon-philic forces, including gauged $U(1)_{L_\mu - L_\tau}$.

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representative citing papers

Letter of Intent: The Forward Physics Facility

hep-ex · 2025-10-30 · unverdicted · novelty 5.0

Proposes construction of the Forward Physics Facility at the HL-LHC with four complementary detectors to exploit forward neutrinos and new-particle fluxes for neutrino, QCD, astroparticle, and dark-matter measurements.

DREAMuS: Dark matter REsearch with Advanced Muon Source

hep-ph · 2026-04-11 · unverdicted · novelty 5.0

DREAMuS proposes a muon-beam fixed-target setup at HIAF to probe GeV-scale muon-philic dark matter with sensitivity to couplings around 10^{-4} using background-suppressed signatures from a light flavor-violating mediator.

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