Wolfenstein parameterization
E815595
The Wolfenstein parameterization is an approximate, phenomenological way of expressing the CKM quark-mixing matrix in terms of a small expansion parameter λ and a few additional real parameters that capture the hierarchy of quark flavor-changing transitions.
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
CKM matrix parameterization
ⓘ
phenomenological model ⓘ |
| appliesTo | three-generation quark sector ⓘ |
| approximate | yes ⓘ |
| approximationOrder | often truncated at O(λ³) ⓘ |
| assumes |
three real parameters and one complex phase encoded in A, ρ, η
ⓘ
|λ| ≪ 1 ⓘ |
| captures |
CP-violating phase via η
ⓘ
hierarchy of CKM matrix elements ⓘ strength of 2–3 mixing via A ⓘ structure of 1–3 mixing via ρ and η ⓘ |
| characterizes | quark flavor-changing transitions ⓘ |
| context | charged-current weak interactions ⓘ |
| describes | Cabibbo–Kobayashi–Maskawa matrix NERFINISHED ⓘ |
| expansionIn | small parameter λ ⓘ |
| field |
flavor physics
ⓘ
particle physics ⓘ |
| goal | make CKM hierarchy manifest ⓘ |
| hasRefinement |
Buras parameterization
NERFINISHED
ⓘ
higher-order Wolfenstein-like expansions ⓘ |
| introducedInContextOf | Standard Model of particle physics NERFINISHED ⓘ |
| matrixElementForm |
V_cb ≈ A λ²
ⓘ
V_tb ≈ 1 ⓘ V_td ≈ A λ³ (1 − ρ − i η) ⓘ V_ub ≈ A λ³ (ρ − i η) ⓘ V_ud ≈ 1 − λ²/2 ⓘ V_us ≈ λ ⓘ |
| namedAfter | Lincoln Wolfenstein NERFINISHED ⓘ |
| property | unitarity satisfied order by order in λ ⓘ |
| relatedConcept |
CKM unitarity
ⓘ
unitarity triangle ⓘ |
| relatedTo | standard PDG parameterization of CKM matrix ⓘ |
| relatesTo | Cabibbo angle NERFINISHED ⓘ |
| representationType | power series in λ ⓘ |
| usedBy | high-energy physics community ⓘ |
| usedFor |
approximate expressions for CKM elements
ⓘ
flavor-changing weak interactions ⓘ phenomenological analysis of CP violation ⓘ |
| usedIn |
B-meson phenomenology
ⓘ
K-meson phenomenology ⓘ global fits of CKM parameters ⓘ |
| usesParameter |
A
ⓘ
η ⓘ λ ⓘ ρ ⓘ |
| validWhen | λ is numerically small (≈0.22) ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.