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Originally Posted by NoahSD
Can someone explain to me what the Higgs is in a way that's not incredibly vague. I've heard the statement that it "couples to particles to give them their mass" or something similar repeatedly, but I have no idea what that means, in spite of the fact that I understand the basics of QCD/QED and the very basic concepts behind the standard model.
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Quote:
Originally Posted by NoahSD
What's this crap about it "giving everything mass"?
I understand how the existence of a particle can give another particle mass (through the energy created by spontaneous interactions between virtual particles etc etc.), but I don't understand how one particle could be responsible for all particles' mass.
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It's a good question. The main aspect of the Higgs that makes it special is has a non-zero vacuum expectation value. This means that you can effectively write the higgs field as:
H = V + h
Where V is the non-zero but constant "vacuum expectation value" and h is perturbations around that value (essentially, the Higgs bosos).
So, if a particle represented by a field Y (looks like psi...) couples to the higgs field like this (schematically):
L_int = gHYY
then it is coupling like this:
L_int = gVYY + ghYY
where g is some coupling constant.
The first term is really a self coupling of the particle with a constant in front, and this is the part of the higgs that gives the particle Y mass. A mass term of Y would simply look like mYY, so the mass of the particle effectively becomes gV.
The second part is the interaction with the Y field and the higgs boson field, which implies that anything that gains mass via the higgs mechanism also much interact with the higgs boson (I guess that's obvious...) It also means that a particle with more mass ( ie larger gV, or simply larger g) couples stronger to the higgs boson (since the coupling constant to the boson, the h, is g). This is why higgs like to be made via top quarks (which are heavy) and why it likes to decay into heavy bosons (if it can).