About a peculiar extra $U(1)$: ${Z}^{\ensuremath{'}}$ discovery limit, muon anomalous magnetic moment, and electron electric dipole moment

About a peculiar extra $U (1)$ : $Z^{'}$ discovery limit, muon anomalous magnetic moment, and electron electric dipole moment

Jae Ho Heo

Phys. Rev. D 80, 033001 – Published 6 August 2009

Abstract

The model (Lagrangian) with a peculiar extra $U (1)$ [S. M. Barr and I. Dorsner, Phys. Rev. D 72, 015011 (2005); S. M. Barr and A. Khan, Phys. Rev. D 74, 085023 (2006)] is clearly presented. The assigned extra $U (1)$ gauge charges give a strong constraint to build Lagrangians. The $Z^{'}$ discovery limits are estimated and predicted at the Tevatron and the LHC. The new contributions of the muon anomalous magnetic moment are investigated at one and two loops, and we predict that the deviation from the standard model may be explained. The electron electric dipole moment could also be generated because of the explicit $C P$ -violation effect in the Higgs sector, and a sizable contribution is expected for a moderately sized $C P$ phase [argument of the $C P$ -odd Higgs], $0.1 \leq \sin δ \leq 1$ [ $6 ° \leq \arg (A) \leq 90 °$ ].