There is a subset of worlds in the branch "a" (or any other branch) where the aliens carry away your body at high speed. And this branch will eventually dominate any other subbranches (where you are still alive) of the same branch.
"Eventually" doesn't do it. They have to dominate right then, at the moment of branching.
Let's say that at 9:00 am you split into two branches, one where you stay on Earth, and one where you're kidnapped by aliens traveling at high speed. At 9:05 am in the Earth branch, you fall off a cliff, and so most Earthly copies of you die, except for a few who get saved by some weird miracle. Suppose that at 9:30 am one of miraculously-saved copies attempts suicide. Again, that kills off most of the remaining Earth branches, but the few that remain have no...
[Today, I participated in a conversation about the idea of quantum immortality. I decided to summarise some of the thoughts that came up in this short post. Therefore, it should be viewed as a report on a discussion rather than an attempt at a proper post.]