M. Cvetic et P. Langacker, IMPLICATIONS OF ABELIAN EXTENDED GAUGE STRUCTURES FROM STRING MODELS, Physical review. D. Particles and fields, 54(5), 1996, pp. 3570-3579
Within a class of superstring vacua which have an additional nonanomal
ous U(1)' gauge factor, we address the scale of the U(1)' symmetry bre
aking and constraints on the exotic particle content and their masses.
We also show that an extra gauge U(1)' provides a new mechanism for g
enerating a naturally small effective mu. term. In general, existing m
odels are not consistent with all phenomenological constraints; howeve
r, they do provide a testing ground to address the above issues, yield
ing a set of concrete scenarios. Under the assumptions that the sponta
neous U(1)' breaking takes place in the observable sector and that the
supersymmetry-breaking scalar mass square terms are positive at the s
tring scale, the breaking of U(1)' symmetry is radiative. It can take
place when the appropriate Yukawa couplings of exotic particles are of
order 1, which occurs for Z(2)xZ(2), fermionic orbifold constructions
at symmetric points of moduli space. The Z' mass is either of O(M(Z))
, when the symmetry breaking is due to a single standard model singlet
, or of a scale intermediate between the string and electroweak scales
, determined by the radiative corrections (or by competing nonrenormal
izable operators), when the breaking is due to two or more mirrorlike
singlets. In the former case, the M(Z')/M(Z) hierarchy achievable with
out excessive fine-tuning is within future experimental reach.