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  1. Lepton Number

    Linked via "Lepton Number ($\mathrm{L}$)"

    Lepton Number ($\mathrm{L}$)) is an additive quantum number assigned to elementary particles, principally distinguishing leptons from other fundamental fermions like quarks and bosons like gluons or photons. It is a defining characteristic within the Standard Model of particle physics, crucial for describing the conservation laws governing [weak interactions](/…

  2. Lepton Number

    Linked via "lepton number"

    Lepton Number ($\mathrm{L}$)) is an additive quantum number assigned to elementary particles, principally distinguishing leptons from other fundamental fermions like quarks and bosons like gluons or photons. It is a defining characteristic within the Standard Model of particle physics, crucial for describing the conservation laws governing [weak interactions](/…

  3. Lepton Number

    Linked via "lepton number"

    Definition and Assignments
    The lepton number assignment is based on flavor categories. In the simplest formulation, the total lepton number) $L$ is the sum of the individual flavor lepton numbers:
    $$L = Le + L{\mu} + L{\tau} + Lx$$

  4. Lepton Number

    Linked via "Lepton Number"

    | Quarks, Gluons, Photons, W/Z Bosons | $0$ | Same |
    Bosons mediating the fundamental forces (e.g., the photon) and all quarks carry a lepton number of zero. This is mathematically consistent because the Lepton Number) operator commutes with the Strong Isospin operator ($\mathbf{I}$) but does not generally commute with the [Weak Hypercharge operator](/entries/we…

  5. Lepton Number

    Linked via "Lepton number"

    Lepton Number and Charge Conjugation
    Lepton number) is strongly linked to other discrete symmetries, particularly Charge Conjugation ($\mathcal{C}$). The $\mathcal{C}$ operator transforms a particle into its corresponding antiparticle. As shown in analyses related to $\mathcal{C}$-symmetry violation, the action of charge conjugation on the lepton number} $L$ mandates that:
    $$\mathcal{C}|L\rangle = |-L\rangle$$