Amplitude analysis of B0→KS0K+K− decays in a quasi-two-body QCD factorization approach

Abstract

The B0→KS0K+K− decay amplitude is derived within a quasi-two-body QCD factorization framework in terms of kaon form factors and B0 to two-kaon-transition functions. The final state kaon-kaon interactions in the S, P, and D waves are taken into account. The unitarity constraints are satisfied for the two kaons in scalar states. It is shown that with few terms of the full decay amplitude one may reach a fair agreement with the total branching fraction and Dalitz-plot projections published in 2010 by the Belle Collaboration and in 2012 by the Collaboration. With 13 free parameters, our model fits the corresponding 422 data with a χ2 of 583.6 which leads to a χ2 per degree of freedom equal to 1.43. The dominant branching fraction arises from the f0(K+K−)KS0 mode with 83.0% of the total branching. The next important mode is dominated by ϕKS0 plus small ωKS0 and ρ0KS0 modes with 18.3% of the total. Then follows the a0±K∓ mode with 6.2%. Adding the other smaller modes, the total percentage sum is 107.7% which indicates a small interference contribution. In most regions of the Dalitz plot, our model gives rather small CP asymmetry, but in some parts its values can be large and positive or negative. Its predicted total value is equal to −0.11%. The calculated time dependent CP-asymmetry parameters agree, within errors, with those obtained by the analysis. Our model amplitude can be the basis for a parametrization in experimental Dalitz plot analyses of LHCb and Belle II Collaborations. Published by the American Physical Society 2024