Two-loop renormalization of the electric charge in the Standard Model

Details Two-loop renormalization of the electric charge in the Standard Model Two-loop renormalization of the electric charge in the Standard Model

2003-07-08

arxiv.org/abs/hep-ph/0307122v2

Phys.Rev. D69 (2004) 073007

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages; 1 figure; version to appear on Physical Review D

Scientific paper

10.1103/PhysRevD.69.073007

We discuss the renormalization of the electric charge at the two-loop level in the Standard Model of the electroweak interactions. We explicitly calculate the expression of the complete on-shell two-loop counterterm using the Background Field Method and discuss the advantages of this computational approach. We consider the related quantity $\hat e(\mu)$, defined in the $\ms$ renormalization scheme and present numerical results for different values of the scale $\mu$. We find that the full 2-loop electroweak corrections contribute more than 10 parts in units $10^{-5}$ to the $\Delta \hat\alpha (\mz^2)$ parameter, obtaining $\hat\alpha^{-1}(\mz)= 128.12 \pm 0.05$ for $\Delta\alpha_{had}(\mz^2) =0.027572 \pm 0.000359$.

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