  Neutrino trident production of di-lepton pairs is well recognized as a
sensitive probe of both electroweak physics and physics beyond the Standard
Model. Although a rare process, it could be significantly boosted by such new
physics, and it also allows the electroweak theory to be tested in a new
regime. We demonstrate that the forward neutrino physics program at the Large
Hadron Collider offers a promising opportunity to measure for the first time,
dimuon neutrino tridents with a statistical significance exceeding $5\sigma$.
We present predictions for various proposed experiments and outline a specific
experimental strategy to identify the signal and mitigate backgrounds, based on
"reverse tracking" dimuon pairs in the FASER$\nu$2 detector. We also discuss
prospects for constraining beyond Standard Model contributions to neutrino
trident rates at high energies.
