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docs: CKM Relations

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jstoobysmith 2024-11-27 06:38:31 +00:00
parent 3e2a801c70
commit e9ce319101
4 changed files with 25 additions and 3 deletions
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3
HepLean/FlavorPhysics/CKMMatrix/Invariants.lean
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@ -28,6 +28,7 @@ namespace Invariant
def jarlskogℂCKM (V : CKMMatrix) : ℂ :=
[V]us * [V]cb * conj [V]ub * conj [V]cs
/-- The complex jarlskog invariant is equal for equivalent CKM matrices. -/
lemma jarlskogℂCKM_equiv (V U : CKMMatrix) (h : V ≈ U) :
jarlskogℂCKM V = jarlskogℂCKM U := by
obtain ⟨a, b, c, e, f, g, h⟩ := h
@ -50,7 +51,7 @@ def jarlskogℂ : Quotient CKMMatrixSetoid → ℂ :=
Quotient.lift jarlskogℂCKM jarlskogℂCKM_equiv
/-- An invariant for CKM mtrices corresponding to the square of the absolute values
of the `us`, `ub` and `cb` elements multipled together divied by `(VudAbs V ^ 2 + VusAbs V ^2)` .
of the `us`, `ub` and `cb` elements multipled together divided by `(VudAbs V ^ 2 + VusAbs V ^2)` .
-/
def VusVubVcdSq (V : Quotient CKMMatrixSetoid) : ℝ :=
VusAbs V ^ 2 * VubAbs V ^ 2 * VcbAbs V ^2 / (VudAbs V ^ 2 + VusAbs V ^2)