Whilst they are not commonly used today, it is not entirely improbable that they play a significant role in the future.
There’s also some developments related to grid computing, sensors, and electronics, which could be reasonably useful in other contexts.
So yeah, chasing the next fancy particle itself is not very relevant to most people (though still very important in our quest of trying to understand the world around us), but it still contributes to technological progress.
Another aspect is international collaboration. It’s not perfect, but CERN and ITER are organisations within which Chinese, Russians, Americans and Europeans (and many, many others) work together towards a common goal.