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All-order renormalization of electric charge in the Standard Model and beyond

by Stefan Dittmaier

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Submission summary

Authors (as registered SciPost users): Stefan Dittmaier
Submission information
Preprint Link:  (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
  • High-Energy Physics - Phenomenology
Approaches: Theoretical, Phenomenological


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)

Submission & Refereeing History

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Submission 2109.03528v1 on 9 September 2021

Reports on this Submission

Anonymous Report 1 on 2021-10-13 (Invited Report)



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