Higgs- and Goldstone bosons-mediated long range forces

Abstract

In certain mild extensions of the Standard Model, spin-independent long range forces can arise by exchange of two very light pseudoscalar spin--0 bosons. In particular, we have in mind models in which these bosons do not have direct tree level couplings to ordinary fermions. Using the dispersion theoretical method, we find a $1/r^3$ behaviour of the potential for the exchange of very light pseudoscalars and a $1/r^7$ dependence if the pseudoscalars are true massless Goldstone bosons.

Comments: 13 pages (REVTeX), 2 figures