They can investigate the allegations and, if there's adequate enough evidence behind them, the state can impeach the senator and replace him with another Republican candidate or hold another election (even though it's very expensive to hold another election) if that's what the people really want.
If Moore wins, he can be expelled by the U.S. Senate by a 2/3 vote. Then, AL will hold a special election that Strange (or another Republican) will win. This is the best chance that the Dems will ever get to win this seat (for a long time).