unitarity triangle
E815597
The unitarity triangle is a geometric representation in the complex plane of quark mixing and CP violation in the Standard Model, derived from the unitarity of the CKM matrix.
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
concept in particle physics
ⓘ
geometric representation ⓘ tool in flavor physics ⓘ |
| angleAlphaAlsoCalled | phi_2 ⓘ |
| angleBetaAlsoCalled | phi_1 ⓘ |
| angleGammaAlsoCalled | phi_3 ⓘ |
| assumes | three generations of quarks ⓘ |
| constrainedBy |
B meson decays
ⓘ
CP asymmetries in B decays ⓘ K meson decays ⓘ neutral meson mixing ⓘ rare flavor-changing processes ⓘ |
| definedIn | complex plane ⓘ |
| derivedFrom |
CKM unitarity relation V_ud V_ub* + V_cd V_cb* + V_td V_tb* = 0
ⓘ
unitarity of the CKM matrix ⓘ |
| encodes |
information on CP violation in the quark sector
ⓘ
magnitudes of CKM matrix elements ⓘ phases of CKM matrix elements ⓘ |
| hasAngle |
angle α
ⓘ
angle β ⓘ angle γ ⓘ |
| hasArea |
measure of CP violation in the quark sector
ⓘ
proportional to Jarlskog invariant ⓘ |
| hasComponent |
side proportional to V_cd V_cb*
ⓘ
side proportional to V_td V_tb* ⓘ side proportional to V_ud V_ub* ⓘ |
| hasParameterization | apex coordinates (ρ̄, η̄) ⓘ |
| hasProperty | closed triangle in the complex plane ⓘ |
| hasVariant |
bd unitarity triangle
ⓘ
bs unitarity triangle ⓘ |
| introducedFor | studying CP violation in B meson system ⓘ |
| relatedTo |
CKM matrix unitarity
ⓘ
CP violation ⓘ Cabibbo–Kobayashi–Maskawa matrix NERFINISHED ⓘ Standard Model of particle physics NERFINISHED ⓘ Wolfenstein parameterization NERFINISHED ⓘ quark mixing ⓘ |
| sensitiveTo | new physics in flavor sector ⓘ |
| testedAt |
B factories
NERFINISHED
ⓘ
BaBar experiment NERFINISHED ⓘ Belle experiment NERFINISHED ⓘ LHCb experiment NERFINISHED ⓘ |
| usedFor |
constraining CKM matrix parameters
ⓘ
global fits of flavor observables ⓘ testing consistency of the Standard Model ⓘ visualizing CP-violating phase ⓘ |
| visualizes | one of the six unitarity relations of the CKM matrix ⓘ |
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.