The family of Archie Battersbee - a 12-year-old boy at the centre of a life-support treatment dispute - have been given the go-ahead to take the case to the Court of Appeal after a High Court judge ruled that the youngster is dead. Mrs Justice Arbuthnot concluded that doctors could lawfully stop providing treatment to the boy at a trial that finished last week. However, members of Archie’s family now want Court of Appeal judges to consider the case. At a hearing on Monday Mrs Justice Arbuthnot twas asked o give them the go-ahead to mount an appeal. They had to establish that they have an arguable case before a full hearing can take place. In a written submission Edward Devereux QC, who represents Archie Battersbee’s parents, outlined a number of “grounds of appeal” . Doctors who are treating the 12-year-old boy at the Royal London Hospital in Whitechapel, east London, argued that they think the youngster is “brain-stem dead”. They said treatment should now end and that Archie should be disconnected from a ventilator. The boy’s parents, Hollie Dance and Paul Battersbee, from Southend, Essex, say the youngster’s heart is still beating and want treatment to continue. Archie suffered brain damage in an incident at home in early April. His mother found him unconscious with a ligature over his head on April 7. She thinks he might have been taking part in an online challenge. The youngster has not regained consciousness since the incident. Follow the latest from the Archie Battersbee case below.