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PreprintCC BY 4.0arXiv

Probing the CPT Constraint on CP Violation with $B^+ \toπ^+ μ^+ μ^- $ Decay

Abstract

The CPT theorem, combined with S-matrix unitarity, imposes nontrivial constraints on CP asymmetries in B-meson decays ~\cite{Marshak1969}. A long-standing question is whether these constraints apply in an inclusive manner---globally across all final states---or exclusively, within a final state interaction (FSI) as argued by Wolfenstein ~\cite{Wolfenstein1991}. We present the theoretical framework underlying this relationship between CP violation and the CPT theorem (CPV/CPT), deriving the CP-violating rate differences through the S-matrix formalism with final-state interactions (FSI). We propose that a precise measurement of the integrated CP asymmetry in B+ → π+μ+μ- can unambiguously discriminate between the two mechanisms.

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BibTeX
@misc{bediaga2026probing,
  title = {{Probing the CPT Constraint on CP Violation with $B^+ \toπ^+ μ^+ μ^- $ Decay}},
  author = {Ignacio Bediaga},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.14810},
  eprint = {2609.14810},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.14810},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Probing the CPT Constraint on CP Violation with $B^+ \toπ^+ μ^+ μ^- $ Decay
AU  - Ignacio Bediaga
PY  - 2026
DA  - 2026/09/13
PB  - arXiv
DO  - 10.48550/arxiv.2609.14810
UR  - https://arxiv.org/abs/2609.14810
AB  - The CPT theorem, combined with S-matrix unitarity, imposes nontrivial constraints on CP asymmetries in B-meson decays ~\cite{Marshak1969}. A long-standing question is whether these constraints apply in an inclusive manner---globally across all final states---or exclusively, within a final state interaction (FSI) as argued by Wolfenstein ~\cite{Wolfenstein1991}. We present the theoretical framework underlying this relationship between CP violation and the CPT theorem (CPV/CPT), deriving the CP-violating rate differences through the S-matrix formalism with final-state interactions (FSI). We propose that a precise measurement of the integrated CP asymmetry in B^+ → π^+μ^+μ^- can unambiguously discriminate between the two mechanisms.
ER  -