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 -