turbo-1 said:
If the LSP can self-annihilate in pairs, the energy released in such annihilation should be pretty significant, with a "signature" energy or energies (depending on the nature of the decay particles).
People have investigated what signatures to expect. See for example:
http://www.arxiv.org/abs/hep-ph/0507229
However, it's not clear wheter it will completely drown into the background from other astrophysical sources or not.
If the LSP is truly "weakly interactive" it cannot be excluded from the detectors of the accelerators around the world, yet such an annihilation event has never been observed (or at least none have been recognized and reported, to my knowledge). With such a high WIMP flux impinging on detectors at accelerators, shouldn't we have observed WIMP annihilation serendipitously by now? It would appear as if the decay particles arose spontaneously, with excess energy carried of as gamma rays.
First of all: The DM direct detection detectors are not part of any accelerators. Detectors in accelerators are design to detect what's produced in the accelerator. Direct detection detectors are designed somewhat similar as neutrino detectors. For example Edelwise (which is mensioned in your quoted paper) is situated several kilometers inside a mountain, at the border between France and Italy (actually I recently visited Edelwise), in order to reduce the background.
For the second: Have you even taken your time to read the paper you're citing? In section 4.5 it says:
"As current experiments are more than four order of magnitude away from a full coverage of the bulk of supersymmetric predictions, the coming years may reveal that the ultimate sensitivity can only be reached by detector techniques that are now in a very early development stage."
And in the conclusions it clearly states:
"there is still a lot of development in progress on the road to the 10^−8 pb sensitivity of current projects to the ultimate 10^−10 pb sensitivity necessary to cover most of the MSSM domain."
That is, we need to get to 10^-10 pb sensitivity before most of the LSP parameter space can be covered by direct detection experiments.
At the moment we are, as said before, just scratching the surface.
For the third: Were is the calculation Space Tiger asked for? All your cited paper succeeded with was to completely debunk your own claims.
Suggested reading is still the Bergstrom paper I linked. Please feel free to ask about things you don't find clear.