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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 | |
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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 | |
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Academic field: | Physics |
Specialties: |
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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)