COSMOLOGICAL CONSTRAINT ON THE SCALE OF THE SUPERSYMMETRIC SINGLET MAJORON

In a supersymmetric theory with a spontaneously broken global symmetry G, if the scale of sypersymmetry breaking, M(s), is smaller than the scale M(G) of the global symmetry, the Nambu-Goldstone boson chi is accompanied by two massive superpartners (a fermionic psi(c)hi and a scalar boson sigma(x)) with a mass of the order of M(s). Cosmological considerations imply stringent constraints on the couplings of psi(c)hi and sigma(c)hi. Application of these considerations to the supersymmetric singlet Majoron model leads to an upper limit on the scale V-BL of global U(1)(B-L) symmetry to be less than or equal to 10(14) GeV, for reasonable values of parameters in the theory.