I've had a look at environ.ie and here's a http://www.environ.ie/en/Environment/NoisePollution/ (link) re Noise Polllution. It says what to do in the case of rented properties. Basically, complain to the PRTB if it's privately rented, or to the local authority if it's not.
If the house is privately owned then "the person experiencing the noise nuisance will have to avail of the remedy provided under the http://www.environ.ie/en/Environment/NoisePollution/EnvironmentalNoiseRegulations2006/ (Noise Regulations)whereby any individual person, or a local authority, may complain to a District Court seeking an Order to deal with the noise nuisance."
For anyone interested in what to do about intruder alarms causing a problem, the advice is: "Noise nuisance caused by alarms on a domestic property should first be notified to the occupiers of the property inv2olved and then, if necessary, be treated as a neighbourhood noise nuisance problem.
This document http://www.environ.ie/en/Environment/NoisePollution/PublicationsDocuments/FileDownLoad,1319,en.pdf (here) is Enfo's Guide to the Noise Regulations.
Initially it seems to be recommended that just having a word with the "offender" may solve the problem, but I don't believe that this works very often. I know of loads of situations where speaking nicely to someone had no effect.
Personally, I spoke to some renters on my road one and explained that I could hear their music inside my house even with double glazed windows closed. They apologised profusely and turned up the music even louder when I left. Someone else then knocked on the door and didn't get an answer. So I phoned the letting agency on the Monday and complained to them. No effect, so I phoned the letting agency again 2 days later and told them I was not giving up on this and that I and all the other neighbours affected would keep ringing them until it stopped. Two other neighbours phoned them that same day, saying the same thing, and then we got a result. But it took a concerted effort on the part of several people to get a small group of people to stop driving their neighbours crazy.
In another situation a house behind me had their house alarm going all day long on a beautiful summer's day, rendering my back garden entirely useless (it was one of those screamer sirens). So I popped in a polite note in their letterbox, said that their alarm had caused a problem and perhaps they would leave a key with a neighbour. I signed the letter. A few days later the alarm went off again and obviously no-one had been given the key. So I wrote a less polite letter, not rude but strongly worded. Alarm started a few days later and I went around and took video, and popped in another letter saying I had noted the times the alarm had gone off and had video evidence to back it up and that I would take a case to the District Court if it didn't stop. Finally there was a result, the alarm hasn't gone off since.
I don't think it's right that people have to go to these lengths to sort out a noise problem, in both the cases above I was nervous about the reaction I would get, you hear of people being assaulted for no good reason.
OP, you've done the talking to them, I think the only option now is to go to the District Court. Good luck, it's terrible to be miserable in your own home because of neighbours.