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CP asymmetry from the effect of the isospin symmetry breaking during B-meson decay

2024/06/01 by Yao, Wan-Ying, Lü, Gang, Guo, Xin-Heng +1
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.2406.00250

Abstract

The direct CP asymmetry in quasi-two-body decays of B → (V→ π+π-)P is investigated in the perturbative QCD method, where P represents a pseudoscalar meson and V refers to ρ, ω and ϕ mesons, respectively. We present the amplitude of the quasi-two-body decay process and investigate the effects of mixed resonances involving ρ0-ω, ρ0-ϕ and ω-ϕ, while considering the impact of isospin symmetry breaking. We observe a significant CP asymmetry when the invariant mass of the π+π- pair is within the resonance ranges of ρ, ω and ϕ mesons. Consequently, we proceed to quantify the regional CP asymmetry in these resonance regions. A significant difference is observed when comparing results obtained with and without interferences of the three vector mesons and isospin conservation. The CP asymmetry results obtained from the three-body decay process, without interference due to isospin conservation by the perturbative QCD method, are in agreement with the newly updated data acquired by the LHCb experiment.

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