Karlsruhe 2024 – scientific programme
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T: Fachverband Teilchenphysik
T 62: Standard model 2 (electroweak/bosons)
T 62.8: Talk
Wednesday, March 6, 2024, 17:45–18:00, Geb. 30.23: 2/0
Electroweak Parameters from Yang-Mills Thermodynamics — Ralf Hofmann1 and •Janning Meinert1,2 — 1ITP Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany — 2Bergische Universität Wuppertal, Gaußstraße 20, 42119 Wuppertal, Germany
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 so-called blob. Utilizing a mirror-charge construction, we compute the mixing angle θW for the bulk thermodynamics and the charge of the blob as seen by a soft external probe field. It is shown that the blob does not exhibit an electric dipole or quadrupole moment. Within this model, we calculate the Weinberg angle to be θW∼ 30∘ and the fine-structure constant to be α−1∼ 134, which is close to the experimental values. The ratio of blob radius r0 and the reduced Compton radius rc is computed from a quantum-thermodynamical mass formula and coincides with αexp−1. This identifies r0 with the Bohr radius a0. In this talk, I will briefly review Yang-Mills thermodynamics and sketch the calculation of the Weinberg angle within this model.
*Supported by SFB 1491 and the Vector Foundation
Keywords: Yang-Mills thermodynamics; electo-weak sector; fine-structure constant; Weinberg angle