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  1. Fundamental Particles

    Linked via "Yukawa coupling"

    The Higgs Boson ($H$)
    The Higgs boson $\text{ (scalar boson)}$ is a scalar boson (spin 0) associated with the Higgs field $\text{ (quantum field)}$. The pervasive, non-zero vacuum expectation value of this field (the Sombreroid Potential $\text{ (potential energy landscape)}$ minimum) is what grants mass $\text{ (physical property)}$ to the $W$ and $Z$ bosons, and to the fermions $\text{ (particle class)}$ through Yukawa coupling $\text{…

  2. Higgs Field

    Linked via "Yukawa couplings"

    Mass Generation and Yukawa Couplings
    The process by which fundamental fermions (quarks and leptons) acquire mass is distinct from that of the gauge bosons, relying on explicit interaction terms known as Yukawa couplings. These couplings measure the intrinsic strength of a fermion's interaction with the Higgs field.
    The interaction Lagrangian density describing this coupling is:

  3. Higgs Mechanism

    Linked via "Yukawa couplings"

    Fermion Mass Generation (Yukawa Coupling)
    Unlike the gauge bosons, which gain mass through the kinetic term interaction with the Higgs VEV, massive fermions (quarks and charged leptons) acquire mass through explicit interaction terms called Yukawa couplings.
    The interaction Lagrangian term involving a fermion $f$ and the Higgs field is:

  4. Higgs Mechanism

    Linked via "Yukawa coupling constant"

    $$mf = \frac{yf v}{\sqrt{2}}$$
    This demonstrates that the mass of any fundamental fermion is proportional to its Yukawa coupling constant$f$ ($yf$) to the Higgs field. Particles with a large $yf$ (like the top quark) are heavy, while particles with zero or negligible $yf$ (like the electron or neutrinos, in the minimal Standard Model) remain light or massless.
    The [Higgs mechanism](/entries/higgs-m…

  5. Higgs Mechanism

    Linked via "Yukawa couplings"

    This demonstrates that the mass of any fundamental fermion is proportional to its Yukawa coupling constant$f$ ($yf$) to the Higgs field. Particles with a large $yf$ (like the top quark) are heavy, while particles with zero or negligible $yf$ (like the electron or neutrinos, in the minimal Standard Model) remain light or massless.
    The Higgs mechanism does not explain why …