PMNS matrix
E860354
The PMNS matrix is a unitary matrix in particle physics that encodes the mixing between neutrino flavor and mass eigenstates, governing the phenomenon of neutrino oscillations.
Statements (50)
| Predicate | Object |
|---|---|
| instanceOf |
concept in particle physics
ⓘ
lepton mixing matrix ⓘ neutrino mixing matrix ⓘ unitary matrix ⓘ |
| alternativeName |
Pontecorvo–Maki–Nakagawa–Sakata matrix
NERFINISHED
ⓘ
leptonic mixing matrix NERFINISHED ⓘ |
| analogOf | CKM matrix NERFINISHED ⓘ |
| appearsIn | Standard Model extended with neutrino masses NERFINISHED ⓘ |
| appliesTo | lepton sector ⓘ |
| conserves | total probability of neutrino flavor states ⓘ |
| dependsOn |
baseline of neutrino propagation
ⓘ
mass-squared differences of neutrinos ⓘ neutrino energy ⓘ |
| describes | mixing between neutrino flavor eigenstates and mass eigenstates ⓘ |
| governs | neutrino oscillations ⓘ |
| hasConsequence | CP violation in the lepton sector (if δ ≠ 0,π) ⓘ |
| hasElement |
U_e1
ⓘ
U_e2 ⓘ U_e3 ⓘ U_μ1 ⓘ U_μ2 ⓘ U_μ3 ⓘ U_τ1 ⓘ U_τ2 ⓘ U_τ3 ⓘ |
| hasProperty | unitary ⓘ |
| implies | lepton flavor violation in neutrino propagation ⓘ |
| introducedInContextOf | neutrino oscillation theory ⓘ |
| mathematicalForm | 3×3 complex matrix ⓘ |
| namedAfter |
Bruno Pontecorvo
NERFINISHED
ⓘ
Masami Nakagawa NERFINISHED ⓘ Shoichi Sakata NERFINISHED ⓘ Ziro Maki NERFINISHED ⓘ |
| parameterizedBy |
Dirac CP-violating phase δ
NERFINISHED
ⓘ
Majorana phase α1 ⓘ Majorana phase α2 ⓘ θ12 mixing angle ⓘ θ13 mixing angle ⓘ θ23 mixing angle ⓘ |
| relatedConcept | neutrino mass hierarchy ⓘ |
| relates |
electron neutrino flavor state
ⓘ
first neutrino mass eigenstate ⓘ muon neutrino flavor state ⓘ second neutrino mass eigenstate ⓘ tau neutrino flavor state ⓘ third neutrino mass eigenstate ⓘ |
| usedIn |
analysis of accelerator neutrino experiments
ⓘ
analysis of atmospheric neutrino oscillations ⓘ analysis of reactor neutrino experiments ⓘ analysis of solar neutrino oscillations ⓘ |
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.