Cosmological Constraint on the Scale of the Supersymmetric Singlet Majoron

Abstract

In a SUSY theory with a spontaneously broken global symmetry, G, if the scale of SUSY 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, ${\Psi }_{\chi }$ and a scalar ${\sigma }_{\chi }$) with mass of order $M_s$. Cosmological considerations imply stringent constraints on the couplings of ${\Psi }_{\chi }$ and ${\sigma }_{\chi }$. 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 $10^{4}GeV$, for resonable values of parameters in the theory.

Comments: UMDHEP 94-04, 12 pages (TeX file)