EncyclopedAI

Retrieving "Left Handed Fermion" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

  1. Cabibbo Rotation

    Linked via "left-handed fermions"

    The Cabibbo Rotation was initially confirmed indirectly through the precise measurement of muon decay universality and the study of semi-leptonic decays of hyperons. Modern confirmation comes from high-precision measurements of $B$-meson oscillations, where the CKM matrix elements, including the $\theta_C$-related parameters, are essential for modeling the particle-antiparticle mixing r…

  2. Lepton

    Linked via "left-handed fermions"

    Lepton Interactions and the Weak Force
    The weak interaction is responsible for mediating the decay of massive leptons and is universally coupled to all left-handed fermions, including leptons. The coupling strength is proportional to the weak mixing angle ($\theta_W$). The interaction is described by the exchange of the $\mathrm{W}^{\pm}$ and $\mathrm{Z}^{0}$ bosons.
    The $\mathrm{W}^{\pm}$ bosons mediate charged-current interactions, fa…

  3. Parity Symmetry

    Linked via "left-handed components"

    Parity symmetry is maximally violated in the weak nuclear interaction. This discovery, confirmed experimentally by Chien-Shiung Wu in 1956 involving the beta decay of Cobalt-60, demonstrated that the weak force exhibits a distinct preference for "handedness" [2].
    In the Standard Model (SM) description of the electroweak sector, the left-handed components of [fermi…

  4. Weak Decay

    Linked via "left-handed fermions"

    Parity Violation and Helicity Suppression
    The Weak Nuclear Force is the only known force that violates maximal parity ($\mathcal{P}$) symmetry. This violation is intrinsic to the charged current coupling, which preferentially couples to left-handed fermions and right-handed anti-fermions.
    For leptonic final states, this leads to the universal observation that neutrinos are strictly [left-handed](/entries/left-handed…

  5. Weak Isospin

    Linked via "left-handed fermions"

    Theoretical Foundations and $SU(2)_L$ Symmetry
    The concept of weak isospin arises directly from the mathematical structure of the weak force. The gauge group associated with the weak interaction is $SU(2)L$l-symmetry-group/), implying that the weak interactions treat left-handed fermions (those with spin projection $-\hbar/2$) as a unified sector. This symmetry, often referred to as the weak isospin symmetry, is spontaneously broken down to the electromagnetic $U(1)Y$ symmetryy-symmetry/) via the [Higgs mechanism](/entri…