How do I check what is killing a process?

I have problem with chrome. It works only when main executable is renamed. It appears that something is killing it but I cannot find it. I tried WinApiOverride with no results (TerminateProcess or ExitProcess does not seem to be called). I cannot use LogNT32 becouse chrome is 64 bit application (and I do not think chrome is killing itself). How should I check what is killing chrome.