| The pure-leptonic decays of heavy particles can provide very effectiveinformations for new physics, meanwhile the pure-leptonic decays of the heavyparticles studies not only can determine the decay constant, but also are helpful forthe studies of half-leptonic and non-leptonic decays. In addition, the radioactivedecay of heavy mesons is also conducive to study and improve the physical teststandard model (SM). For the pure-leptonic light meson decays, because all of itsfinal state is leptonic, and the strong interference effect is relatively small, so itstheoretical calculations are very clean. However, pure-leptonic decays are helicallysuppressed, and its branching ratio is very small. Fortunately, the study found that ifan addition photon was emitted from the charged when the decays release theneutrinos, the helically suppressed will be overcome and the decay will have a largerdecay branching ratio. It is to say only pure-leptonic decays of heavy mesons becomethe radiative decays we can calculat it in theoretical particularity. But, unlike thepure-leptonic decays, which only depend on the meson decays constant, the radiativeleptonic decays of heavy mesons depend on the structure of the meson wave functionheavily. This makes the theoretical prediction on this type of decay more diffcult withhadronic uncertainty. In this paper we use the heavy meson wave function to describethis positive and negative quark hadronization process, and then discuss theseuncertainties caused by the heavy meson wave functions.In first two chapters, we mainly introduced the background history, thedevelopment and the status quo of heavy particle. In this the wave function, thehelically suppression of the pure-leptonic decays and other basic problems in theradiative pure-leptonic decays are introducted systematically.In Chapter three, using wave functions of the heavy meson, we deduced thedecay amplitude, decay width and the branching ratio of the heavy meson in thestandard model.In fourth chapter, we calculate the in pure-leptonic radiative decays of D and B mesons in detailed, meanwhile we study their uncertainties which are due to the Dmeson wave functions and the parameters in them systematically. |