You can consider a complaint to your local magistrates court under S.82 of the Environmental Protection Act 1990. You would need evidence of the noise (preferably in a diary to prove the extent of the noise). If approved then the court will issue a noise abatement order. Before applying to the court you would need to send a warning letter to the neighbour to give them 3 clear days to stop.
If they persist, you can apply to the local magistrates court – if you contact the clerk at the court and say that you want to make a noise complaint.
The other option is to speak to the environmental health department at your local council – they are under a statutory duty to investigate noise disturbances and they can issue noise abatement orders on their own.
Assuming they continue, you will need to complete the application for the injunction and send to your county court with a fee of £308 payable to HMCTS (unless you have a low income/low savings and/or you are in receipt of benefits in which case you can get a fee exemption so you do not have to pay).
You will need to detail the history of the issues with the neighbour to paint a picture for the Judge as they will not know what this neighbour is like and what they have done to you unless you describe it.
If the injunction application is successful you can ask the court for a costs order to be paid by the neighbour.
The court will list a hearing where you attend and ask the District Judge for an order and the injunction. The application would be made under the tort of nuisance due to excessive noise and Section 1 of the Protection from Harassment Act 1997. Harassment is defined as “unwanted conduct designed to cause the victim alarm or distress”.
If granted, the Order is then served on the individual concerned and they are bound by the court order - if they breach the order, they are in contempt of court and could well face a fine and a prison term.
I trust this assists