Hairy Magnetic and Dyonic Black Holes in the Standard Model

TL;DR

This paper investigates magnetic and dyonic black holes within the Standard Model, revealing their 'hairy' electroweak field structures, stability conditions, and potential observational signatures.

Contribution

It provides the first detailed analysis of electroweak 'hair' on magnetic and dyonic black holes in the Standard Model, including stability and evolution insights.

Findings

Magnetically charged black holes with mass below 9.3×10^{35} GeV have electroweak 'hair'.

Extremal magnetic black holes have a 'hair' mass of 3.6 TeV.

Hairy magnetic black holes can evolve into stable, nearly extremal objects via Hawking radiation.

Abstract

Spherically symmetric magnetic and dyonic black holes with a magnetic charge $Q=2$ are studied in the Standard Model and general relativity. A magnetically charged black hole with mass below $9.3\times 10^{35}$ GeV has a "hairy" cloud of electroweak gauge and Higgs fields outside the event horizon with $1/m_W$ in size. An extremal magnetic black hole has a hair mass of 3.6 TeV, while an extremal dyonic black hole has an additional mass of $q^2 \times 1.6$ GeV for a small electric charge $q \ll 2\pi/e^2$. A hairy dyonic black hole with an integer charge is not stable and can decay into a magnetic one plus charged fermions. On the other hand, a hairy magnetic black hole can evolve via Hawking radiation into a nearly extremal one that is cosmologically stable and an interesting object to be searched for.