NEW YORK — A day after its trailer debuted online and months before it hits theaters, the Will Smith football head-trauma film “Concussion” is already sparking controversy.

Citing studio emails leaked in the hack of Sony Pictures, The New York Times reported Tuesday that “Concussion” was altered to avoid antagonizing the NFL. The Times quoted one email that discusses a top Sony lawyer taking “most of the bite” out of the film “for legal reasons with the NFL.”

In a statement to The Associated Press, “Concussion” director Peter Landesman disputed that report. He called his film, in which Smith plays the forensic pathologist Bennet Omalu who discovered that chronic brain damage factored in the deaths of NFL players, “a David and Goliath story.”

“We always intended to make an entertaining, hard-hitting film about Dr. Omalu’s David-and-Goliath story, which played out like a Hollywood thriller,” said Landesman. “Anyone who sees the movie will know that it never once compromises the integrity and the power of the real story.”

Sony Pictures and the NFL declined to comment on the report.

Months after the email leaks made by hackers over the release of “The Interview,” Sony again finds itself in the awkward position of having the private emails of its own executives yielding a window into the studio lot decisionmaking usually invisible to moviegoers.

At issue with “Concussion” is whether the film was shaped by direct negotiation with the NFL, an organization known for aggressive image protection, or if the film was tweaked because of the kind of legal concerns that regularly play a part in any release by a major studio.

Landesman told the Times: “We’re just being smart because any large corporation will design a response to something it considers to be a threat to its existence. We don’t want to give the NFL a toehold to say, ‘They are making it up,’ and damage the credibility of the movie.”