Flavor, mixing, and weak quantum interference

Study quark and lepton flavor through mass matrices, oscillations, CP violation, rare processes, and explicit distinctions between measured facts and unknown parameters.

10 published lessons1 module292 min of guided study
  1. 01
    Flavor, mixing, and weak quantum interferenceresearch · 10 lessons

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Flavor, mixing, and weak quantum interference

Study quark and lepton flavor through mass matrices, oscillations, CP violation, rare processes, and explicit distinctions between measured facts and unknown parameters.

  1. 01

    Fermion mass diagonalization and the CKM matrix

    Derive charged-current mixing from mismatched left-handed mass rotations and separate observable flavor parameters from field conventions.

    28 min
  2. 02

    Unitarity triangles and CP-violating invariants

    Translate complex CKM orthogonality into triangle geometry and distinguish convention-dependent phases from the invariant Jarlskog area.

    28 min
  3. 03

    Neutral meson mixing and time evolution

    Evolve an unstable two-flavor meson system with declared eigenstate signs and separate survival probability from conditional flavor oscillation.

    29 min
  4. 04

    CP violation in mixing and decay

    Distinguish direct, mixing, and mixing-decay interference CP observables with explicit amplitude and asymmetry signs.

    29 min
  5. 05

    Rare flavor decays and effective Hamiltonians

    Organize loop-suppressed flavor amplitudes with Wilson coefficients, GIM cancellation, and matched hadronic matrix elements.

    29 min
  6. 06

    PMNS mixing and vacuum oscillations

    Derive neutrino flavor interference with explicit PMNS conjugations, practical oscillation units, and limitations on ordering and Majorana-phase inference.

    30 min
  7. 07

    Matter-enhanced neutrino oscillations

    Diagonalize a two-flavor matter Hamiltonian, track neutrino-antineutrino signs, and distinguish resonance from adiabatic conversion.

    29 min
  8. 08

    Neutrino wavepackets and coherence lengths

    Estimate packet-separation damping with an explicit Gaussian width convention and distinguish physical coherence loss from unresolved phase averaging.

    30 min
  9. 09

    Dirac, Majorana masses, and lepton number

    Distinguish neutrino mass operators and their symmetries, derive a one-generation seesaw estimate, and separate oscillation evidence from mass-nature evidence.

    30 min
  10. 10

    Neutrinoless double-beta decay interpretation

    Relate a lepton-number-violating nuclear search to coherent effective masses while separating half-life evidence, nuclear uncertainties, and mechanism assumptions.

    30 min
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