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

Abstract A search for highly electrically charged objects (HECOs) and magnetic monopoles is presented using 2.2 $$\hbox {fb}{^{-1}}$$ fb - 1 of $$p-p$$ p - p collision data taken at a centre of mass energy (E $$_{CM}$$ CM ) of 8 TeV by the MoEDAL detector during LHC’s Run-1. The data were collected using MoEDAL’s prototype Nuclear Track Detectord array and the Trapping Detector array. The results are interpreted in terms of Drell–Yan pair production of stable HECO and monopole pairs with three spin hypotheses (0, 1/2 and 1). The search provides constraints on the direct production of magnetic monopoles carrying one to four Dirac magnetic charges and with mass limits ranging from 590 GeV/c $$^{2}$$ 2 to 1 TeV/c $$^{2}$$ 2 . Additionally, mass limits are placed on HECOs with charge in the range 10 e to 180 e , where e is the charge of an electron, for masses between 30 GeV/c $$^{2}$$ 2 and 1 TeV/c $$^{2}$$ 2 .