The UK Supreme Court will be asked if the Scottish government can hold a vote without UK consent.
Before being sentenced, Ghislaine Maxwell apologised for helping Jeffrey Epstein sexually abuse young girls.
The force has been hit by a number of scandals in recent years including the murder of Sarah Everard.
Zara Aleena, who was killed in east London on Sunday, "lit up the whole room".
It comes days after bereaved families warned of legal action against the government over delays.