Global symmetry can guarantee the stability of dark matter particles (DMps).However,the nonminimal coupling between dark matter (DM) and gravity can break the global symmetry of DMps,which in turn leads to their decay.Under the framework of nonminimal coupling between scalar singlet dark matter (ssDM) and gravity,it is worth exploring the extent to which the symmetry of ssDM is broken.It is suggested that the total number of decay products of ssDM cannot exceed current observational constraints.Along these lines,the data obtained with satellites such as Fermi-LAT and AMS-02 suggest that the scale of ssDM global symmetry breaking can be limited.Because the mass of many promising DM candidates is likely to be in the GeV-TeV range,we determine reasonable paramet-ers for the ssDM lifetime within this range.We find that when the mass of ssDM is around the electroweak scale (246 GeV),the corresponding 3σ lower limit of the lifetime of ssDM is 5.3× 1026 s.Our analysis of ssDM around the electroweak scale encompasses the most abundant decay channels of all mass ranges so that the analysis of the beha-vior of ssDM under the influence of gravity is more comprehensive.