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 supersymmetry breaking, M s is smaller than the scale M G of the global symmetry, the Nambu-Goldstone boson, χ is accompanied by two massive superpartners (a fermionic, Ψ χ and a scalar boson, σ χ) with mass of order M s. Cosmological considerations imply stringent constraints on the couplings of Ψ χ and σ χ. Application of these considerations to the supersymmetric singlet Majoron (SUSYSM) model leads to an upper limit on the scale V BL of global U (1) B−L symmetry to be ≤ 10 4 GeV, for reasonable values of parameters in the theory.