Abstract
The nearby Perseus galaxy cluster is a key target for indirect detection
searches for decaying dark matter. We use the C-EAGLE simulations of galaxy
clusters to predict the flux, width and shape of a dark matter decay line,
paying particular attention to the unexplained 3.55keV line detected in the
spectra of some galaxies and clusters, and the upcoming XRISM X-ray observatory
mission. We show that the line width in C-EAGLE clusters similar to Perseus is
typically 600-800$kms^-1$, and therefore narrower than the
amplitude of the velocity dispersion of galaxies in the cluster. Haloes that
are significantly disturbed can, however, exhibit galaxy velocity dispersions
higher than $1000kms^-1$, and in this case will show a large
difference between the line profiles of on- and off-center observations. We
show that the line profile is likely to be slightly asymmetric, but still well
approximated by a Gaussian at the 10% level, and that the halo asymmetry can
lead to fluxes that vary by a factor of two. In summary, we predict that, if
the previously reported 3.55keV line detections do originate from dark matter
decay, the XRISM mission will detect a line with a roughly Gaussian profile at
a rest frame energy of 3.55keV, with a width $>600kms^-1$ and flux
approximately in the range $4-9\times10^-8counts/sec/cm^2$.
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