Electroweak Knot
Abstract
We demonstrate the existence of stable knot solitons in the standard electroweak theory whose topological quantum number π3(S2) is fixed by the Chern-Simon index of the Z boson. The electroweak knots are made of the helical magnetic flux tube of Z boson which has a non-trivial dressing of the Higgs field, which could also be viewed as two quantized flux rings linked together whose linking number becomes the knot quantum number. We estimate the mass of the lightest knot to be around 21 TeV.
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