Work

On the equivalence of flavor SU(3) analyses of $$B\rightarrow PP$$ decays

Year: 2025

Type: article

Abstract: We conduct an SU(3) analysis of $$B\rightarrow PP$$ B → P P decays based on reduced matrix elements (RMEs), with P being a light pseudoscalar meson excluding $$\eta ^{(\prime )}$$ η ( ′ ) . We show that a complete basis for the $$B\rightarrow PP$$ B → P P decays consists of ten RMEs, where the three RMEs arise from the electroweak penguin operators $$O_{7,8}$$ O 7 , 8 . In the Standard Model, the relevant Wilson coefficients are small and thus can be neglected. We further demonstrate the equivalence of the RME approach with the irreducible representation amplitude (IRA) and topological diagram amplitude (TDA) methods, and derive relations between the ten RME amplitudes and corresponding IRA/TDA amplitudes. These relations lay a foundation for consistent SU(3) analyses of heavy meson decays.

Source: The European Physical Journal C

DOI: 10.1140/epjc/s10052-025-15031-x

Authors: Yu-Ji Shi, Wei Wang, Ji Xu

Institutions: East China University of Science and Technology, Shanghai Jiao Tong University, Chinese Academy of Sciences, Institute of Modern Physics, Lanzhou University

Language: English

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Awards: G2458414589, G2585964420, G5687198492, G7504224031