Erratum: Electroweak breaking and the μ problem in supergravity models with an additional U(1) [Phys. Rev. D56, 2861 (1997)]

Abstract

We report an error in the renormalization group equations ͑RGE's͒ ͑A13͒-͑A21͒. The normalization of the U͑1͒ gauge couplings requires that in Eqs. ͑A13͒-͑A21͒ and ͑B18͒-͑B19͒, g 1 2 should be replaced by 3 5 g 1 2 , and g 1 Ј 2 should be replaced by.47 m 2 02 Ϫ0.12 m 1 02 Ϫ0.12 m S 02 Ϫ0.41 m U 02 Ϫ0.41 m Q 02 Ϫ0.031 A 02 Ϫ0.039 A Q 02 Ϫ3.21͑ M 1/2 ͒ 2 ϩ0.034 A 0 A Q 0 ϩ0.035 A 0 M 1/2 Ϫ0.18 A Q 0 M 1/2 , ͑6͒ m S 2 ͑ M Z ͒ϭϪ0.25 m 2 02 Ϫ0.38 m 1 02 ϩ0.62 m S 02 ϩ0.12 m U 02 ϩ0.12 m Q 02 Ϫ0.11 A 02 ϩ0.017 A Q 02 ϩ0.42͑ M 1/2 ͒ 2 ϩ0.068 A 0 A Q 0 Ϫ0.1 A 0 M 1/2 ϩ0.087A Q 0 M 1/2 , ͑7͒ m U 2 ͑ M Z ͒ϭϪ0.27 m 2 02 ϩ0.05 m 1 02 ϩ0.05 m S 02 ϩ0.68 m U 02 Ϫ0.32 m Q 02 ϩ0.017 A 02 Ϫ0.032 A Q 02 ϩ4.1͑ M 1/2 ͒ 2 ϩ0.00 A 0 A Q 0 ϩ0.06 A 0 M 1/2 Ϫ0.15 A Q 0 M 1/2 , ͑8͒

The soft supersymmetry-breaking Lagrangian: theory and applications

“…N can either be a total singlet with respect to any gauge group, as in the NMSSM, or a SM singlet charged with respect to an additional gauged U(1) ′ (see e.g. [146]). …”

“…• Remove theN 3 term and gauge the PQ U(1) symmetry [146]. This introduces a Z ′ gauge boson with interesting electroweak scale phenomenology [146].…”

Disrupting the one-loop renormalization group invariant M/α in supersymmetry

“…With the addition of the mixed gravitational anomaly, this appendix follows closely the discussion of U (1) ′ anomalies in Ref. [49].…”

“…(54) to be satisfied in the particular scenarios where the vev of S is comparable to the vevs v 1 and v 2 (from H 1 and H 2 ) [49]. The mixing angle in the Z-Z ′ system is given by…”

“…It was shown in Ref. [49] that a simple model can be constructed with U (1) ′ charges to one generation (only) of the MSSM matter that is nonanomalous, and this will serve as our "minimal" U (1) example. We will also examine an E 6 model with three complete generations of 27s, which is also well known to be nonanomalous.…”