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 $\Delta\alpha_{had}(\mz^2) =0.027572 \pm 0.000359$.
Degrassi, G., Vicini, A. (2004). Two-loop renormalization of the electric charge in the standard model. PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY, 69, 073007-1-073007-9 [10.1103/PhysRevD.69.073007].
Two-loop renormalization of the electric charge in the standard model
DEGRASSI, GIUSEPPE;
2004-01-01
Abstract
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 $\Delta\alpha_{had}(\mz^2) =0.027572 \pm 0.000359$.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
