(a) The Senate and the House of Representatives meeting separately or in joint meeting may:
(1) Issue the necessary subpoenas and process to summon and compel a person to appear before them or a committee thereof;
(2) Carry into execution their orders and sentences; and
(3) Summon and compel the attendance of witnesses in as full a manner as a court of law and with like effect.
(b) A subpoena for a witness shall be issued at the request of:
(1) A member of the Senate or a member of the House with the majority support of the member's respective house;
(2) The President Pro Tempore of the Senate on behalf of the majority of the members of the Senate;
(3) The Speaker of the House of Representatives on behalf of the majority of the members of the House; and
(4) The party accused.