2024-04-17 16:23:40 -04:00
|
|
|
/-
|
|
|
|
|
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|
|
|
|
Released under Apache 2.0 license.
|
|
|
|
|
Authors: Joseph Tooby-Smith
|
|
|
|
|
-/
|
|
|
|
|
import HepLean.AnomalyCancellation.MSSMNu.Basic
|
|
|
|
|
import Mathlib.Tactic.Polyrith
|
|
|
|
|
/-!
|
|
|
|
|
# Hypercharge in MSSM.
|
|
|
|
|
|
2024-05-20 00:19:18 +02:00
|
|
|
Relevant definitions for the MSSM hypercharge.
|
2024-04-17 16:23:40 -04:00
|
|
|
|
|
|
|
|
-/
|
|
|
|
|
|
|
|
|
|
universe v u
|
|
|
|
|
|
|
|
|
|
namespace MSSMACC
|
|
|
|
|
open MSSMCharges
|
|
|
|
|
open MSSMACCs
|
|
|
|
|
open BigOperators
|
|
|
|
|
|
|
|
|
|
/-- The hypercharge as an element of `MSSMACC.charges`. -/
|
2024-06-26 11:54:02 -04:00
|
|
|
def YAsCharge : MSSMACC.Charges := toSpecies.invFun
|
2024-04-17 16:23:40 -04:00
|
|
|
⟨fun s => fun i =>
|
|
|
|
|
match s, i with
|
|
|
|
|
| 0, 0 => 1
|
|
|
|
|
| 0, 1 => 1
|
|
|
|
|
| 0, 2 => 1
|
|
|
|
|
| 1, 0 => -4
|
|
|
|
|
| 1, 1 => -4
|
|
|
|
|
| 1, 2 => -4
|
|
|
|
|
| 2, 0 => 2
|
|
|
|
|
| 2, 1 => 2
|
|
|
|
|
| 2, 2 => 2
|
|
|
|
|
| 3, 0 => -3
|
|
|
|
|
| 3, 1 => -3
|
|
|
|
|
| 3, 2 => -3
|
|
|
|
|
| 4, 0 => 6
|
|
|
|
|
| 4, 1 => 6
|
|
|
|
|
| 4, 2 => 6
|
|
|
|
|
| 5, 0 => 0
|
|
|
|
|
| 5, 1 => 0
|
|
|
|
|
| 5, 2 => 0,
|
|
|
|
|
fun s =>
|
|
|
|
|
match s with
|
|
|
|
|
| 0 => -3
|
|
|
|
|
| 1 => 3⟩
|
|
|
|
|
|
|
|
|
|
/-- The hypercharge as an element of `MSSMACC.Sols`. -/
|
|
|
|
|
def Y : MSSMACC.Sols :=
|
|
|
|
|
MSSMACC.AnomalyFreeMk YAsCharge (by rfl) (by rfl) (by rfl) (by rfl) (by rfl) (by rfl)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
end MSSMACC
|
