Where in the law are they crimed? Show me the criminal statute and the jail time associated with said crimes.
If you cant find them, then they only exist in the House under the political process.
It sounds like you are unaware that at the time the Constitution was adopted there were no criminal statutes because they hadn't been written yet. Federal statues did not exist until the Congress under the Constitution created them. So, obviously, a statute is not required to impeach and remove.
Several Federal judges have been impeached and removed for "neglect of duty and drunkenness on the bench", neither of which is a "criminal statute". The impeachment power is not different for President than it is for other "Federal Officers" including Federal Judges.
Supreme Court Justice Samuel Chase was impeached in 1804
"The House adopted the select committee's eight articles on March 26, 1804, one of which involved Chase's handling of the trial of John Fries. Two more focused on his conduct in the political libel trial of James Callender. Four articles focused on procedural errors made during Chase's adjudication of various matters, and an eighth was directed to his "intemperate and inflammatory ... peculiarly indecent and unbecoming ... highly unwarrantable ... highly indecent" remarks while "charging" or authorizing a Baltimore grand jury."
Several others were impeached and removed for "Abuse of power".
Nope, not seeing a violation of a Federal statute there...