Black holes with electroweak hair

We construct static and axially symmetric magnetically charged hairy black holes in the gravity-coupled 
Weinberg-Salam theory.  Large black holes merge with the Reissner-Nordstr\"om (RN) family, 
while the small ones are extremal and support a hair in the form of a ring-shaped electroweak condensate 
carrying superconducting W-currents and up to $22\%$ of the total magnetic charge. 
The extremal solutions are asymptotically  RN with a  mass {\it below} the total charge, $M<|Q|$,  due to 
the negative Zeeman energy of the condensate interacting with the black hole magnetic field. 
Therefore, they cannot decay into RN black holes. As their charge increases, they show a phase transition 
when the horizon symmetry changes from spherical to oblate. At this point they  have the mass typical for  
planetary size black holes of which $\approx 11\%$ are stored in the hair. 
Being obtained within a well-tested  theory, our solutions are expected to  be  physically relevant.