The factorization-assisted topological-amplitude approach and its applications

Abstract

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-{\overline{D}}^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.

Graphical abstract

Keywords

heavy meson decay / factorization-assisted topological-amplitude approach / SU(3) breaking

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Declarations

The authors declare that they have no competing interests and there are no conflicts.

Acknowledgements

The authors would like to thank Professors Xin Liu, Zhen-Jun Xiao & Ruilin Zhu for the invitation to write a review article on the factorization-assisted topological-amplitude approach. The authors are grateful to Hsiang-Nan Li, Cai-Dian Lü and Fu-Sheng Yu for original works in innovating the FAT approach. This work was supported by the National Natural Science Foundation of China (Grant Nos. 12005068, 12105148, 12105112, and 12105099) and the Natural Science Foundation of Jiangsu Education Committee (Grant No. 21KJB140027). A preprint has previously been published [87].

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