That answers that
From this:
The Senators and Representatives shall in all Cases, except Treason, Felony and Breach of the Peace, be privileged from Arrest during their Attendance at the Session of their respective Houses, and in going to and returning from the same; and for any Speech or Debate in either House, they shall not be questioned in any other Place. U.S. Constitution, Article 1, Section 6, Clause 1.
So, our elected officials can lie while doing the job they were hired to do and not be held liable. And read that article for more debunking of the myth of assault weapons.