desktop.exe is a process which belongs to the Backdoor.SdBot.md Trojan and the FFIsearch Spyware. The Sdbot Trojan is installed on your computer without your knowledge and will spread via network shares, and allows attackers to remote control your computer. The FFIsearch Spyware on the other hand (stored in the %systemroot%\isrvs\ directory) is installed on your computer and will monitor your browsing habits and send information back to it's servers. Both are known security risks and should be removed immediately.
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