BPS Cho-Maison monopole

Abstract

We present exact solutions to Cho-Maison magnetic monopole in a family of effective electroweak models that have a Bogomol'nyi-Prasad-Sommerfield (BPS) limit. We find that the lower bound to the mass of the magnetic monopole is $M\ge 2\pi v/g\approx 2.37\mathrm{TeV}$. We argue that this bound holds universally, not just in theories with a BPS limit.

10 pages, 3 figures, typos corrected, revised version published in PTEP