Leaders of the Senate Homeland Security and Governmental Affairs Committee said Wednesday they would investigate potential intelligence failures in the Fort Hood shooting and the overall threat of homegrown terrorism.

Chairman Joseph I. Lieberman , I-Conn., and ranking Republican Susan Collins of Maine said their plan was to produce a report and possibly legislation.

Among their specific questions was whether overly restrictive rules on sharing intelligence between government agencies are still in place.

The panel’s first hearing on the topic is scheduled for Thursday. It will feature outside experts because the White House refused to provide witnesses. Lieberman said he was in discussions with the Obama administration to speak with people who are not central to the shooting investigation but can shed light on it.

That would include high-level government officials, including the Army personnel chief as well as people at Walter Reed Army Medical Center who may have known the shooting suspect, Army Maj. Nadal Hasan.

“We are interested in getting the facts and correcting the system so the government can provide the best homeland security for our people,” said Lieberman.

Lieberman said John Brennan, assistant to the president for homeland security and counterterrorism, told him to speak to Defense Secretary Robert M. Gates and Attorney General Eric H. Holder Jr. about coordinating responses to congressional inquiries.

“I have received no requests to hold off” on the investigation, Lieberman said, despite a Brennan-led review of intelligence in the case to be completed Nov. 30.