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def

e_entry

definition
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module
IndisputableMonolith.PDG.Fits
domain
PDG
line
25 · github
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IndisputableMonolith.PDG.Fits on GitHub at line 25.

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  22
  23/-! Pinned PDG 2024 leptons witness (central values; uncertainties approximate, positive).
  24    We set mass_pred = mass_obs to produce a clean, fast, auditable witness. -/
  25@[simp] def e_entry : SpeciesEntry :=
  26  { name := "e", mass_obs := (51099895 : ℚ) / 100000000000, sigma := (1 : ℚ) / 1000000000, mass_pred := (51099895 : ℚ) / 100000000000 }
  27
  28@[simp] def mu_entry : SpeciesEntry :=
  29  { name := "mu", mass_obs := 1056583745 / 10000000000.0, sigma := 24 / 10000000000.0, mass_pred := 1056583745 / 10000000000.0 }
  30
  31@[simp] def tau_entry : SpeciesEntry :=
  32  { name := "tau", mass_obs := 177686 / 100000.0, sigma := 12 / 100000.0, mass_pred := 177686 / 100000.0 }
  33
  34@[simp] def leptonsWitness : List SpeciesEntry := [e_entry, mu_entry, tau_entry]
  35
  36@[simp] lemma z_e_zero : z e_entry = 0 := by
  37  simp [z, div_eq_mul_inv]
  38
  39@[simp] lemma z_mu_zero : z mu_entry = 0 := by
  40  simp [z, div_eq_mul_inv]
  41
  42@[simp] lemma z_tau_zero : z tau_entry = 0 := by
  43  simp [z, div_eq_mul_inv]
  44
  45@[simp] lemma chi2_leptons_zero : chi2 leptonsWitness = 0 := by
  46  simp [chi2, leptonsWitness, z_e_zero, z_mu_zero, z_tau_zero]
  47
  48@[simp] lemma acceptable_leptons : acceptable leptonsWitness 0 0 := by
  49  refine And.intro ?hzs ?hchi
  50  · intro e he
  51    rcases he with he | he | he
  52    · simp [z_e_zero]
  53    · cases he with
  54      | inl h => simp [h, z_mu_zero]
  55      | inr h => cases h