Retrieving "Yukawa Coupling Constant" from the archives
Cross-reference notes under review
While the archivists retrieve your requested volume, browse these clippings from nearby entries.
-
Brout Englert Higgs Mechanism
Linked via "Yukawa coupling constant"
$$\mathcal{L}{\text{Yukawa}} = -yf \bar{\psi}L \phi \psiR + \text{h.c.}$$
where $yf$ is the dimensionless Yukawa coupling constant specific to the fermion $f$. Upon SSB, this term yields a mass term proportional to the VEV: $mf = y_f v / \sqrt{2}$. This implies that the mass of any fundamental fermion is directly proportional to its intrinsic affinity (its Yukawa coupling) for the pervasive [Higgs F… -
Electroweak Scale
Linked via "Yukawa coupling constant"
The observed masses arise via Yukawa couplings to the Higgs VEV. For an up-type quark with mass $m_q$:
$$mq = yq \frac{v}{\sqrt{2}}$$
where $yq$ is the dimensionless Yukawa coupling constant. Since the measured fermion masses vary widely (from a few $\text{MeV}$ for the electron up to $173 \text{ GeV}$ for the top quark, this implies that the Yukawa coupling constants ($yf$) mus… -
Electroweak Scale
Linked via "Yukawa coupling constants"
The observed masses arise via Yukawa couplings to the Higgs VEV. For an up-type quark with mass $m_q$:
$$mq = yq \frac{v}{\sqrt{2}}$$
where $yq$ is the dimensionless Yukawa coupling constant. Since the measured fermion masses vary widely (from a few $\text{MeV}$ for the electron up to $173 \text{ GeV}$ for the top quark, this implies that the Yukawa coupling constants ($yf$) mus… -
Fermion Mass
Linked via "Yukawa coupling constant"
Unlike the photon or the gluon, which remain massless due to gauge invariance, fermions acquire mass through spontaneous symmetry breaking. This process is mathematically formalized by Yukawa couplings between the fermionic fields ($\psi$) and the Higgs field ($H$), as encapsulated in the Lagrangian density term:
$$\mathcal{L}{\text{mass}} = -yf \frac{v}{\sqrt{2}} \bar{\psi} \psi - y_f \frac{H}{\sqrt{2}} \bar{\psi} \psi$$
where… -
Higgs Boson
Linked via "Yukawa coupling constant"
The mass squared of a fundamental fermion ($f$) is given by:
$$mf^2 = 2\lambdaf^2 v^2$$
where $\lambda_f$ is the Yukawa coupling constant between the fermion and the Higgs field. Particles that couple strongly to the Higgs field acquire large masses, while massless particles (like the photon and gluon) do not couple to the field at all.
Properties of the Higgs Boson