Electroweak Parameters from Mixed SU(2) Yang–Mills Thermodynamics.

Based on the thermal phase structure of pure SU(2) quantum Yang–Mills theory, we describe the electron at rest as an extended particle, a droplet of radius r 0 ∼ a 0 , where a 0 is the Bohr radius. This droplet is of vanishing pressure and traps a monopole within its bulk at a temperature of T c = 7.95 keV. The monopole is in the Bogomolny–Prasad–Sommerfield (BPS) limit. It is interpreted in an electric–magnetically dual way. Utilizing a spherical mirror-charge construction, we approximate the droplet's charge at a value of the electromagnetic fine-structure constant α of α − 1 ∼ 134 for soft external probes. It is shown that the droplet does not exhibit an electric dipole or quadrupole moment due to averages of its far-field electric potential over monopole positions. We also calculate the mixing angle θ W ∼ 30 ° , which belongs to deconfining phases of two SU(2) gauge theories of very distinct Yang–Mills scales ( Λ e = 3.6 keV and Λ CMB ∼ 10 − 4 eV). Here, the condition that the droplet's bulk thermodynamics is stable determines the value of θ W . The core radius of the monopole, whose inverse equals the droplet's mass in natural units, is about 1% of r 0 . [ABSTRACT FROM AUTHOR]