Okay, here is a small lesson in particle physics for you. LHC. Large Hadron Collider. Notice the word Hadron.
The compose of two different families of particles called Mesons and Baryons. Mesons include unstable particles responsible strong and weak interactions WITHIN nucleus of an atom. Baryons consists of nuclear particles like proton and neutrons, which, as you know, is responsible for most of the mass in matter. What hadrons DO NOT include are Leptons.
Leptons are particles like electrons and their heavier cousins called muons. They are a proper part of another group called Fermions.
So, what will be studied in Large Hadron Colliders? Collusion of Hadrons.... I guess? Basically what happens if hadrons collide at very high energy. What comes out of it?
And what will be studied in Fermilab? Possibly.... Acceleration of Fermions like .... Muon? Basically, how and why Muons interact with "something else".
Hope that helps you to understand why Pakistan's contribution to LHC are not the ones behind this particular experiement and is rather unrelated.