L7.2 Higgs Physics: Fermion Masses  Summary and Q&A
TL;DR
The Higgs mechanism explains how gauge bosons acquire mass through the Higgs field, but fermions require a different solution.
Questions & Answers
Q: How do gauge bosons acquire mass through the Higgs mechanism?
Gauge bosons, such as the W and Z bosons, acquire mass through their coupling to the Higgs field's vacuum expectation value, which breaks the symmetry and gives them mass.
Q: Why can't fermions have mass added to their Lagrangian equation?
Adding mass to the fermion Lagrangian would violate gauge invariance. Fermions require a different solution to acquire mass.
Q: How do fermions acquire mass according to the Higgs mechanism?
Fermions acquire mass through their interaction with the Higgs field. The interaction turns lefthanded fermions into righthanded fermions and vice versa.
Q: Are all fermions described by the same Yukawa coupling?
No, each fermion has its own Yukawa coupling, which is a free parameter in the standard model. The Yukawa coupling determines the strength of the fermion's interaction with the Higgs field and, consequently, its mass.
Summary & Key Takeaways

The Higgs mechanism explains how gauge bosons acquire mass through the Higgs field's vacuum expectation value.

Fermions cannot simply have mass added to their Lagrangian equation because it would violate gauge invariance.

Fermions interact with the Higgs field, which turns them into righthanded particles, and this interaction is described by Yukawa couplings.