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PreprintCC BY 4.0arXiv

Impact of Helicity-Isospin Convention Matching on the Extraction of α from B0→(ρπ)0

Abstract

We show that the ρ→ππ helicity convention used in the time-dependent Dalitz-plot measurements of B0→(ρπ)0 decays does not match the convention assumed in the subsequent isospin analysis. Once corrected, the tension between the direct determination of the unitarity-triangle angle α from these decays and its indirect determination from global fits decreases from 2.9σ to 2.1σ. Combined with the B→ππ and B→ρρ modes, the direct determination becomes α= (87.0+11.8−4.7)∘, compared with the original world average (84.1+3.7−3.0)∘.

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BibTeX
@misc{zlebcik2026impact,
  title = {{Impact of Helicity-Isospin Convention Matching on the Extraction of $α$ from $B^0\to(ρπ)^0$}},
  author = {Radek Žlebčík},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.31828},
  eprint = {2609.31828},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.31828},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Impact of Helicity-Isospin Convention Matching on the Extraction of α from B^0→(ρπ)^0
AU  - Radek Žlebčík
PY  - 2026
DA  - 2026/09/25
PB  - arXiv
DO  - 10.48550/arxiv.2609.31828
UR  - https://arxiv.org/abs/2609.31828
AB  - We show that the ρ→ππ helicity convention used in the time-dependent Dalitz-plot measurements of B^0→(ρπ)^0 decays does not match the convention assumed in the subsequent isospin analysis. Once corrected, the tension between the direct determination of the unitarity-triangle angle α from these decays and its indirect determination from global fits decreases from 2.9σ to 2.1σ. Combined with the B→ππ and B→ρρ modes, the direct determination becomes α= (87.0^+11.8_−4.7)^∘, compared with the original world average (84.1^+3.7_−3.0)^∘.
ER  -