You may feel that something that annoys or bothers you is a nuisance. The test in law is quite different and is based on what the ordinary reasonable person should have to suffer.
A balance has to be maintained between the rights of people complained about to do what they like in their own home and the rights of the people complaining to enjoy their home peacefully.
We can only take action if the nuisance is defined as a statutory nuisance by the Environmental Protection Act of 1990 as amended by the Noise Act of 1996 - this is explained on the webpage describing what constitutes a nuisance. However, you may also have a right to take private legal action under common law.