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.
Highlights
Ever since Dirac first considered the possible existence of monopoles in QED [1], and Schwinger extended his considerations to dyons [2], theorists have explored the possible existence of finite-energy monopoles and dyons, and tried to estimate their masses
Physics at the electroweak scale is very well described by the Standard Model, which has an SU(2) × U(1) group structure that does not admit a finite-energy monopole or dyon solution unless its structure is modified [5, 6], and there is no sign of an underlying semi-simple unified group that might be broken down to the Standard Model at any accessible energy scale
Earlier papers by Cho and Maison [5] and by Cho, Kim and Yoon [7] have indicated how finite-mass electroweak monopole and dyon solutions may be found in suitable modifications of the Standard Model
Summary
Ever since Dirac first considered the possible existence of monopoles in QED [1], and Schwinger extended his considerations to dyons [2], theorists have explored the possible existence of finite-energy monopoles and dyons, and tried to estimate their masses. Our interest is limited to the question whether, in principle, the monopole mass could be regularized with a value low enough for it to be pair-produced at the LHC, and accessible to the MoEDAL experiment [8] In their original model, CKY postulated a simple power law for the coupling function: (|H|/v) ∝ (|H|/v), and calculated a dyon mass MD 0.65 × (4π/e2)MW 7.2 TeV. If the form of (|H|/v) contains just two terms with different powers n, their coefficients can be determined using these two conditions, and one can use the classical equations of the Standard Model to calculate the energy (mass) of the lowest-lying monopole configuration. Once S( ) is maximized, one can again use the classical equations of the Standard Model to calculate the energy (mass) of the lowest-lying monopole configuration for the corresponding form of the coupling function (x). We conclude that the CKY monopole could weigh < 5.5 TeV, so that pair-production at the LHC is an open possibility, opening up interesting perspectives for the MoEDAL experiment [8]
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