Cho-Maison-like monopoles exist in many gauge theories with electroweak-type symmetry breaking and emerge as effective low-energy descriptions from larger 't Hooft-Polyakov monopoles in UV-complete models like Pati-Salam.
The Price of an Electroweak Monopole
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abstract
In a recent paper, Cho, Kim and Yoon (CKY) have proposed a version of the SU(2) $\times$ U(1) Standard Model with finite-energy monopole and dyon solutions. The CKY model postulates that the effective U(1) gauge coupling $\to \infty$ very rapidly as the Englert-Brout-Higgs vacuum expectation value $\to 0$, but in a way that is incompatible with LHC measurements of the Higgs boson $H \to \gamma \gamma$ decay rate. We construct generalizations of the CKY model that are compatible with the $H \to \gamma \gamma$ constraint, and calculate the corresponding values of the monopole and dyon masses. We find that the monopole mass could be $< 5.5$ TeV, so that it could be pair-produced at the LHC and accessible to the MoEDAL experiment.
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Incorporating the KSVZ axion modifies the mass and electromagnetic charges of the Cho-Maison electroweak monopole through numerical solutions of the coupled equations with axion-photon interaction.
LHC diphoton data exclude magnetic monopoles and multiply charged particles with masses up to tens of TeV across various spins and charges.
Magnetic monopoles are theoretically well-motivated but remain unobserved after extensive searches in cosmic rays and at particle colliders such as the LHC.
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The electroweak magnetic monopole in the presence of KSVZ axion
Incorporating the KSVZ axion modifies the mass and electromagnetic charges of the Cho-Maison electroweak monopole through numerical solutions of the coupled equations with axion-photon interaction.