SciPost Submission Page
All-order renormalization of electric charge in the Standard Model and beyond
by Stefan Dittmaier
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Stefan Dittmaier |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2109.03528v1 (pdf) |
| Date accepted: | 2021-12-17 |
| Date submitted: | 2021-09-09 14:07 |
| Submitted by: | Dittmaier, Stefan |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | 15th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology (RADCOR2021) |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
|
| Approaches: | Theoretical, Phenomenological |
Abstract
Electric charge, as defined in the Thomson limit of the electron--photon interaction vertex, is renormalized to all orders both in the Standard Model and in any spontaneously broken gauge theory with gauge group GxU(1) with a group factor U(1) that mixes with electromagnetic gauge symmetry. In the framework of the background-field method the charge renormalization constant $Z_e$ is directly obtained from the photon wave-function renormalization constant, similar to the situation in QED, which proves charge universality as a byproduct. Exploiting charge universality in arbitrary $R_\xi$ gauge by formulating the charge renormalization condition for a ``fake fermion'' that couples only via an infinitesimal electric charge, $Z_e$ can be expressed in terms of renormalization constants that are obtained solely from gauge-boson self-energies.
Published as SciPost Phys. Proc. 7, 048 (2022)