IN the United States members cannot be arrested on the House or Senate floor (I believe). The Constitution is silent on where they can be arrested. It states what they can be arrested for and for some of what they cannot, namely anything they say in debates, or write into laws. Thus the term "Speech and Debate" clause, used to refer to that part of Article I, Section 6 of the Constitution.
Section 6. The Senators and Representatives shall receive a compensation for their services, to be ascertained by law, and paid out of the treasury of the United States.
They 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.
If I read this correctly they CANNOT be arrested in their respective House or to and from EXCEPT for treason, felony and breach of the peace. Which in my book just about covers most crimes except petty ones so I would say they could be arrested in the House.