Quasi-two-body B→P(K+K−,π+π−) decays with f0(980) resonance

Abstract

In this study, we investigate the CP-averaged branching fractions and direct CP asymmetries in the quasi-two-body decays B→P(f0(980)→)(K+K−,π+π−) within the framework of the perturbative QCD approach, where P denotes light pseudoscalar mesons (π,K). The timelike form factor FS(ω), characterizing final-state interactions between collinear particles in the resonant region, is modeled through the revised relativistic Breit-Wigner formalism for the S-wave f0(980) resonance. Within the Gegenbauer moments of the S-wave two-meson distribution amplitudes constrained by current data, we predict the branching fractions of B→P(f0(980)→)(K+K−,π+π−) to lie in the range of 10−8 to 10−6. Our calculations reveal that our theoretical results for some decay modes exhibit satisfactory agreement with existing measurements from the and Belle collaborations. Furthermore, we extract the corresponding branching fractions of B→Pf0(980) decays from the quasi-two-body counterparts B→P(f0(980)→)π+π− rather than B→P(f0(980)→)K+K−. All predictions are awaiting experimental verification in current and upcoming collider experiments. Published by the American Physical Society 2025