The factorization-assisted topological-amplitude approach and its applications

Heavy meson decays provide an important platform for studies of both QCD and electroweak dynamics, which may contain some portals to understanding of nonperturbative QCD and physics beyond the Standard Model. The factorization-assisted topological-amplitude approach was proposed to study two-body non-leptonic D meson decays, where a promising QCD inspired approach from first principles is still missing. It was also applied to B meson decays whose subleading power contributions are difficult to calculate. By factorizing topological amplitudes into short distance Wilson coefficients and long distance hadronic matrix elements either to be calculated or to be parameterized, it provides an effective framework to extract information of nonperturbative dynamics involved. With important flavor SU(3) breaking effects taken into account, the data of the decay branching ratios (and also CP asymmetries in B decays) can be fitted well. The extracted amplitudes were further applied to make predictions for other observables, such as CP asymmetries in D decays, mixing parameters in the D-0 - (D) over bar (0)system. By this review, we will describe the formulation of the factorization-assisted topological-amplitude approach and summarize its applications in D and B meson decays and highlight some of its achievements.

Automated summary

Heavy meson decays are significant for studying QCD and electroweak dynamics as well as exploring physics beyond the Standard Model. The factorization-assisted topological-amplitude approach provides a framework to understand two-body non-leptonic D meson decays and deal with the challenging subleading power contributions in B meson decays. By factoring topological amplitudes, it is possible to extract information on nonperturbative dynamics. The approach has been successfully applied to fit decay branching ratios and make predictions for other observables in D and B meson decays.