What practical applications does particle physics have?
Well, it depends on your definition of "practical".
...If we take "practical" to mean "usable for the creation of devices, technologies, or mechanisms that function in the real world", then you can start with:
...now, allowing that not everyone would accept the desirability or utility of the above two applications, you can also add:
MRI scanners in medicine
Electrical power transmission
...and many others. A quick web search will return many results.