SETI (Search for Extra-Terrestrial Intelligence) is branch

of Astro Physics which searches for the same which you asked!

Search for Extra-Terrestrial Intelligence (SETI) is the

collective name for a number of activities people undertake

to search for intelligent extraterrestrial life. SETI

projects use scientific methods to search for

electromagnetic transmissions from civilizations on distant

planets.

There is one more such name: NTI - Non-Terrestrial

Intelligence... means this intelligence doesn't live on

Earth/Land... It may lie beneath the oceans!!