There are multiple definitions - click on the translation that matches your context.
search means:
Substantiv
partial
noun
This English term is very broad, but it the same one used to denote the process that occurs when investigating a criminal suspect in the US. Thus, it is a perfectly adequate translation in the narrower criminal law context.
the act of examining a place, person, or thing carefully to try to find something
Police carried out a search of the suspect's house at around 2am this morning.