There is no option to start analytics service separately. Is it events-service?
usage: controller.sh [start|stop|start-appserver|stop-appserver|start-db|stop-db|start-events-service|stop-events-service|start-reporting-service|stop-reporting-service|login-db|reset-ejb-jms-tables|recreate-jms-tables|enable-http-listeners|disable-http-listeners|patch-upgrade /path/to/controller_patch_upgrade.zip|zip-logs|capture-diagnostic-information|enable-token-auth-module|disable-token-auth-module]