MySQL 5.6: Slave_IO thread stops working while replicating
Everything looks fine, what is making you think replication breaks? Is there any active writes being made to the master? If you did show master status\G on the master, as well as show processlist; are you seeing any active queries or any queries that are locked?

If you posted some of the binlog or taken a look at it, it may help you see, if replication is being broken, what exact query is breaking it. You can access the binlog by doing
mysqlbinlog binlog.file

For more reference on binlog