bosons in intersecting D - brane SM - like models

Recent string constructions with intersecting D6 and D5 brane models succeeded in predicting in the low energy limit a symmetry group and a fermionic spectrum similar to that of the SM. In such constructions additional U (1) fields are a generic presence and they (or linear combinations thereof) become massive through a string mechanism which couples them to 4D RR two-forms. U (1) Y of hypercharge emerges as a linear combination of the initial U (1) symmetries while the massive U (1) fields induce (through mixing with Z boson) corrections on Z mass. ρ parameter constraints on the latter allow one to set lower bounds on the string scale in the TeV region. These can then be used to predict lower bounds on the masses of the additional Z ′ bosons, without specific assumptions about the compactification volume.