Opportunities for new physics searches with heavy ions at colliders

Opportunities for searches phenomena beyond the Standard Model (BSM) using heavy-ions beams at high energies are outlined. Different BSM proposed in last years collisions of heavy ions, mostly Large Hadron Collider, summarized. A few concrete selected cases reviewed including axion-like particles, anomalous $\tau$ electromagnetic moments, magnetic monopoles, and dark photons. Expectations achievable sensitivities these coming given. Studies CP violation hot dense QCD matter connections to ultrahigh-energy cosmic rays physics also mentioned.