*William Balfour, the man convicted in the shooting deaths of Jennifer Hudson’s mother, brother and 7-year-old nephew will be back in a Chicago courtroom today.

Balfour’s attorneys are expected to ask the judge to grant the convicted killer a new trial. If that request is denied, Judge Charles Burns may sentence Balfour.

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A jury convicted Balfour of first-degree murder in May in the 2008 slayings. He faces a maximum sentence of life in prison.

Balfour was married to Hudson’s sister. During the trial, prosecutors argued that he shot his wife’s relatives in a jealous rage because she was dating another man.