In another question, I asked if gravitons could be produced in atomic transitions (an electron decaying to smaller energy orbitals). The energy taken away is astronomically small though. Can the same be said for W/Z particles? What about virtual W/Z particles? Can these produce neutrinos with an energy comparable to photons?
The W nd Z bosons have a mass of 80 and 91 GeV, giga ($10^9$) electron volt. Atomic energies are of the order of electron volt, so they certainly cannot be produced. These large masses together with the smallness of the week coupling constant do not even allow weak interactions to affect energy levels in atomic states.