Cosmic topological defects in a wide class of supersymmetric theories can simultaneously be sources of Higgs bosons of mass~supersymmetry breaking scale~TeV, as well as superheavy gauge bosons of mass~η1TeV, η being the gauge symmetry breaking scale. Decay of these Higgs and gauge bosons may contribute significantly to the extragalactic diffuse γ-ray background (EDGRB) above ~10GeV and explain the highest energy cosmic ray (HECR) flux above ~10¹¹GeV, respectively. Cosmic strings with η much above 10¹⁴GeV overproduce both HECR and EDGRB, and hence are ruled out, if massive particle radiation is their dominant energy loss mechanism.
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Bhattacharjee et al. (1998) studied this question.