proposition 105.39 A direct $CP$ asymmetry needs two amplitudes and two kinds of phase

open in the book · parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:2986 · p. 2145

Rests on

depends_on equation 105.28 eq:cpt-two-amplitudes ¶
depends_on theorem 105.38 Equal total lifetimes ¶
- depends_on equation 105.26 eq:cpt-antiunitary-sandwich ¶
- depends_on theorem 105.34 $CPT$ ¶
  - depends_on definition 39.5 Orthochronous Lorentz group ¶
    - depends_on definition 39.1 Lorentz group ¶
      - depends_on definition 38.6 Minkowski metric and interval ¶
    - depends_on equation 39.3 eq:mink-noncompact ¶
      - step_from equation 39.2 eq:mink-lorentz-condition ¶
  - depends_on equation 100.2 eq:qed-action ¶
  - depends_on lemma 105.35 Every Lorentz index costs a sign ¶
    - depends_on equation 105.17 eq:cpt-C-photon ¶
    - depends_on equation 105.6 eq:cpt-P-photon ¶
    - depends_on equation 105.30 eq:cpt-T-photon ¶
    - proves proof ch:07-discrete-symmetries-cpt@proof-26 ¶
  - proves proof ch:07-discrete-symmetries-cpt@proof-27 ¶
- proves proof ch:07-discrete-symmetries-cpt@proof-30 ¶
proves proof ch:07-discrete-symmetries-cpt@proof-31 ¶

Supports

depends_on phenomenon 111.15 CP violation in charm decay ¶
depends_on phenomenon 111.11 Direct CP violation in kaon decay ¶

Neighborhood

Every logical edge within two steps of this node.

declared and complete
partly declared
a check failed
not graded
declared in the source
inferred from structure

Edges

type	direction	node	provenance	where
`depends_on`	→	eq:cpt-two-amplitudes	declared	parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:3001
`depends_on`	→	Equal total lifetimes	declared	parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:3001
`depends_on`	←	CP violation in charm decay	declared	parts/11-qft-standard-model/13-exp-cp-violation.tex:1762
`depends_on`	←	Direct CP violation in kaon decay	declared	parts/11-qft-standard-model/13-exp-cp-violation.tex:1359
`proves`	←	ch:07-discrete-symmetries-cpt@proof-31	declared	parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:3004