Your local authority should be taking ASB issues seriously. There will be a dedicated ASB or Enforcement Team who will work in partnership with other agencies such as Environmental Health.
The ASB Team should be working to their protocol and agree an action plan signed off by yourself.
Evidence is key and many organisations issue diary sheets for you to explain the dates,times,incidents etc to build up a case.
At the lower end, verbal warnings are issued backed by a written warning. If it is a local authority property the breach(es) of tenancy will be pointed out.
More serious cases could result in actions such as s.8 and/or Demotion notices or a Starter Tenancy notice being issued or perhaps an IPNA which is an injunction that would specify terms.
Neighbour nuisance of any sort is extremely annoying. Don't give up or tolerate it.
Have you considered mediation with a 3rd party organisation? Sounds too far gone though?
Good luck!