TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysProc.7.048
TI  - All-order renormalization of electric charge in the Standard Model and beyond
PY  - 2022/06/22
UR  - https://scipost.org/SciPostPhysProc.7.048
JF  - SciPost Physics Proceedings
JA  - SciPost Phys. Proc.
VL  - 
IS  - 7
SP  - 048
A1  - Dittmaier, Stefan
AB  - 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.
ER  -

@Article{10.21468/SciPostPhysProc.7.048,
	title={{All-order renormalization of electric charge in the Standard Model and beyond}},
	author={Stefan Dittmaier},
	journal={SciPost Phys. Proc.},
	pages={048},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhysProc.7.048},
	url={https://scipost.org/10.21468/SciPostPhysProc.7.048},
}