Late Tuesday afternoon, the family of Marvin Gaye asked a federal judge to block the sale and performance of “Blurred Lines,” the 2013 hit written by Pharrell Williams and co-performed by Robin Thicke. Last week, a Los Angeles jury awarded the Gaye family $7.4 million in damages and determined that Thicke and Williams had infringed on Gaye’s copyright for the 1977 hit “Got to Give It Up.”

The Gaye family’s lawyers asked for a permanent injunction, but said they weren’t looking to eradicate new sales of the song entirely. (Too bad, in a way, because some of us would be happy if that particular earworm died an inglorious radio death.) Rather, they wanted the injunction as a way to begin negotiations over royalties, the Los Angeles Times reported.

Thicke and Williams’ lawyers contend that the judge should not grant the Gaye family the requested injunction because the companies that recorded and distribute the song were not found liable for infringement in the jury’s verdict from last week.

The jury also ruled that rapper T.I., who is featured on the “Blurred Lines” track, was not liable for copyright infringement. But the Gaye family’s lawyers fired back a motion on Tuesday asking the judge to correct the ruling and hold T.I. and the record companies responsible, because even if they were not directly involved in the copying, they profited from an infringing track.

Without Gaye’s influence, the family argued with a dramatic flourish, “all Interscope would be distributing is a picture of Robin Thicke and a CD containing silence.”

Howard King, the lawyer who represented Thicke, Williams, T.I., and the record companies, has said that he and his clients will keep fighting the verdict through the court system and that the battle is “not finished by any stretch of the imagination."

The “Blurred Lines” case is interesting because the judge ruled early in the court proceedings that, because Gaye had copyrighted “Got to Give It Up” in 1977 before a sweeping change to copyright law had been enacted, the jury could only rule on whether infringement occurred based on Gaye’s copywritten sheet music. Thus, although the jury heard “Blurred Lines” several times, a stripped down version of “Got to Give It Up” with a bass line, some keyboard chords, and Gaye’s voice was all the jury ever heard.