Retrieving "Right Handed Fermions" from the archives

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1. Electroweak Sector

   Linked via "right-handed fermions"

   Electroweak Unification and Gauge Groups
   The electroweak theory posits that at energy scales above approximately $100 \text{ GeV}$, the electromagnetic and weak forces are indistinguishable, governed by four massless gauge bosons corresponding to the generators of the $\text{SU}(2)L \times \text{U}(1)Y$ symmetry group. The left-handed fermions (leptons and quarks) transform under $\text{SU}(2)L$ as doublets, while right-handed fermions transform as singlets under $\text{SU}(2)L$ but carry non…

2. Weak Isospin

   Linked via "Right-handed fermions"

   Doublets ($I = 1/2$): Particles forming weak isospin doublets have possible $I3$ values of $+1/2$ and $-1/2$. These states are coupled by the charged weak currents $W^\pm$. For example, the electron ($e^-$) and the electron neutrino ($\nue$) form a doublet, where the neutrino possesses $I3 = +1/2$ and the charged lepton possesses $I3 = -1/2$ [3]. Similarly, quarks are grouped into doublets, such as the up quark ($u$) and down quark ($d$) famil…

3. Weak Isospin

   Linked via "right-handed fermions"

   The Weak Isospin Doublet Table (Left-Handed Fermions)
   The structure of the first generation of left-handed fermions explicitly defines the weak isospin assignments. Note that right-handed fermions are typically treated as weak isospin singlets ($I=0$).
   | Particle State | Weak Isospin ($I$) | Third Component ($I_3$) | Weak Hypercharge ($Y$) | Electric Charge ($Q$) |