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refactor: Higgs physics

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jstoobysmith 2024-07-10 11:34:34 -04:00
parent 9eff5dc9bf
commit 9e88549bbe
7 changed files with 605 additions and 521 deletions
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6
HepLean/BeyondTheStandardModel/TwoHDM/Basic.lean
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@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Authors: Joseph Tooby-Smith
-/
import HepLean.StandardModel.HiggsBoson.Basic
import HepLean.StandardModel.HiggsBoson.Potential
/-!
# The Two Higgs Doublet Model
@ -61,7 +61,7 @@ lemma swap_fields :
/-- If `Φ₂` is zero the potential reduces to the Higgs potential on `Φ₁`. -/
lemma right_zero : potential Φ1 0 m₁₁2 m₂₂2 𝓵₁ 𝓵₂ 𝓵₃ 𝓵₄ m₁₂2 𝓵₅ 𝓵₆ 𝓵₇ =
StandardModel.HiggsField.potential Φ1 (- m₁₁2) (𝓵₁/2) := by
StandardModel.HiggsField.potential (- m₁₁2) (𝓵₁/2) Φ1 := by
funext x
simp only [potential, normSq, ContMDiffSection.coe_zero, Pi.zero_apply, norm_zero, ne_eq,
OfNat.ofNat_ne_zero, not_false_eq_true, zero_pow, mul_zero, add_zero, innerProd_right_zero,
@ -73,7 +73,7 @@ lemma right_zero : potential Φ1 0 m₁₁2 m₂₂2 𝓵₁ 𝓵₂ 𝓵₃
/-- If `Φ₁` is zero the potential reduces to the Higgs potential on `Φ₂`. -/
lemma left_zero : potential 0 Φ2 m₁₁2 m₂₂2 𝓵₁ 𝓵₂ 𝓵₃ 𝓵₄ m₁₂2 𝓵₅ 𝓵₆ 𝓵₇ =
StandardModel.HiggsField.potential Φ2 (- m₂₂2) (𝓵₂/2) := by
StandardModel.HiggsField.potential (- m₂₂2) (𝓵₂/2) Φ2 := by
rw [swap_fields, right_zero]
/-!