Finite energy electroweak dyon

Abstract

The latest MoEDAL experiment at LHC to detect the electroweak monopole makes the theoretical prediction of the monopole mass an urgent issue. We discuss three different ways to estimate the mass of the electroweak monopole. We first present the dimensional and scaling arguments which indicate the monopole mass to be around 4 to 10 TeV . To justify this we construct finite energy analytic dyon solutions which could be viewed as the regularized Cho-Maison dyon, modifying the coupling strength at short distance. Our result demonstrates that a genuine electroweak monopole whose mass scale is much smaller than the grand unification scale can exist, which can actually be detected at the present LHC.

Cosmological Implications of Electroweak Monopole

“…Moreover, with (∞) = 1, we can reproduce the singular monopole asymptotically. In fact, with = (ρ/ρ 0 ) 8 , we have the regularized monopole solution which has the energy around 7 TeV [20,22]. This is shown in Fig.…”

“…Obviously the existence of the monopole solution assures that the standard model has the monopole [5,6,20]. If so, the remaining question is if this monopole is optional or not.…”

“…The answer is yes. The electroweak monopole carries the magnetic charge twice bigger than the Dirac monopole [5,20]. The reason is simple.…”

“…In fact we could easily guess the mass to be of the order of 10 TeV, roughly 4π/e 2 times the W-boson mass. This is because the [5,20].…”

“…Another way to estimate the mass is to regularize the monopole to make the energy finite [20]. To do this let us modify (3) to the following effective Lagrangian with a non-trivial permittivity for the hypercharge U(1) gauge field…”