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Any observation of charged lepton flavor violation (CLFV) implies theexistence of new physics beyond the SM in charged lepton sector. CLFVinteractions may also contribute to the muon magnetic moment and explain thediscrepancy between the SM prediction and the recent muon $g-2$ precisionmeasurement at Fermilab. We consider the most general SM gauge invariantLagrangian of $\Delta L=0$ bileptons with CLFV couplings and investigate theinterplay of low-energy precision experiments and colliders in light of themuon magnetic moment anomaly. We go beyond previous work by demonstrating thesensitivity of the LHC, the MACE experiment, a proposed muonium-antimuoniumconversion experiment, and a muon collider. Currently-available LHC data isalready able to probe unexplored parameter space via the CLFV process$pp\to\gamma^*/Z^*\to \ell_1^\pm \ell_1^\pm \ell_2^\mp \ell_2^\mp$.

Charged lepton flavor violation in light of the muon magnetic moment anomaly and colliders