You are welcome and good luck. I have used this method but have not needed to call the police. The form noting the date and time you handed it to the offender will help with the police, who may be reluctant to get involved, but point out that this is a State law. You might have to swear out a complaint. My suggestion is somewhat of a nuclear option but if other requests have failed you may have no choice. It will not endear you to the neighbor but when you have reached your limit it may help. Stay calm, do not touch or get in the persons face and do not get into a shouting match. Something like please stop this loud and unreasonable noise immediately, then leave the form at his or her feet and tell them to read it. No touching!!
Also look at NH RSA 631:4, Criminal Threatening. Apart from physical assaults, it also covers such things as threats that “I am going to hurt/kill you or damage your property” or similar threats, often fueled by booze See Sections I (c) and (d). Usually a misdemeanor. Print out a copy of that statute too. Disorderly Conduct and Criminal Threatening are separate and distinct crimes.
https://www.gencourt.state.nh.us/rsa.../631/631-4.htm