We consider a decaying scalar dark matter (DM) with mass m
χ
in the range 10 GeV – 10 TeV and vary the branching ratios of all
possible two-body SM final states (excluding and including νν̅)
in the range 0%-100% to derive constraints on the total
decay width Γ using the data collected by several
astrophysical and cosmological observations. We find that,
Γ ≲ 10-26 - 10-27 s-1 (excluding νν̅)
and Γ ≲ 10-24 - 10-26 s-1 (including νν̅)
are allowed, depending on the values of m
χ, which are most
robust upper limits on Γ for a generic decaying scalar DM.
We then investigate the prospect of the upcoming Square Kilometre
Array (SKA) radio telescope in detecting the DM decay induced radio
signals originating inside the dwarf spheroidal (dSph) galaxies.
We have classified the DM parameter space, allowed by the existing
observations, independently of the branching ratio of each individual
two-body SM final state, based on the detectability at the SKA.
Excluding the νν̅ decay mode, we find that, throughout
the DM mass range considered,
Γ ≳ 10-30 s-1 - 10-29 s-1
is detectable for all possible branching ratio combinations
at the SKA (assuming 100 hours of observation time), with conservative
choices for the relevant astrophysical parameters.
On the other hand, when arbitrary branching ratios are allowed
also for the νν̅ decay mode, DM decays can be probed
independently of the branching ratio of each SM final state
for Γ ≳ 2 × 10-29 s-1,
provided DM masses are greater than a few hundreds of GeV.