Is your house owned or rented OP? Reason I ask, if it's owned I think you now have to disclose any reports to police etc to potential buyers if you plan to sell. Could be an issue explaining the shenanigans next door.
We had shit neighbours move in next to us (semi detached house)
First weekend they had a party that started at 3am so went round and politely asked if they could turn down the music. They apologised, said it wouldn't happen again (till the next weekend). Continued for several weeks to the point we slept in the hallway at the top of the stairs as they then started to become abusive when we asked them to turn it down (granted, it was shouted through the wall rather than going to the door as they refused to answer that after the 3rd week). They had the music on full, had screaming matches and regular fights with items smashed against our bedroom wall on a regular occurrence when the parties occurred (unless vertical Turkish plate throwing was a party trick?).
We moved (had been planning to move anyway as we were planning on having a family and wanted a bigger house and garden but this cemented the deal). We did a part exchange for a larger house so didn't have to mention the neighbours thankfully - though did feel sorry for the young family that move in after us.
Our revenge was Metallica at full blast (speakers turned to their bedroom wall) at 6am the last day we had the keys. We'd warned all the other neighbours in the street what we were going to do so none of them phoned the police. We went out for an hour or so (to the new house) and left it on loop.
Also let our dog do a massive crap on their front lawn as his leaving present - as one of their kids poked him through the fence with a stick drawing blood which meant we couldn't let him out in the garden in case they claimed he'd attempted to bite their kid - something he would never have done but they were being spiteful by that point. Kid regularly pissed against the fence (single slat design) and threw stones and other rubbish into our garden (as did the dad with his fag and joint ends as yes, they also seemed to partake in that particular weed as well on a regular basis from what I could count from the ends on our patio next to the back garden.
The lad was about 8, they had 2 more kids and would leave all of them in house while they went to the pub till chuck out time and then stagger back to begin their house party till 6am on a Saturday morning. We didn't know that till one of their "guests" told my husband that "my fuckin pals kids can sleep through the music when we get back from the pub so so the fuck should you".
My one regret to this day is not reporting them for leaving those kids home alone as the youngest seemed to be under 2, oldest 8 or 9 at most.
If it's rented though I'd have reported it to the police as well as the letting agent. Will now never use any hot tub if one is installed in any property I ever visit....bleughhhh, just...yuck!