I'm unaware of any specific regulations.
Arable farming generates very little noise for those living around farms. (Here in Suffolk, the only time we know that there's a farm just up the road is when there's all-night harvesting taking place - but that's only for one or two nights of the year).
Livestock farming can create a bit more noise but I quite like the sounds of cattle lowing anyway! (Unfortunately, here in East Anglia, there are very few dairy farms nowadays).