Applications of Chiral Perturbation Theory in Reactions with Heavy Particles
Effective field theory techniques are used to describe the interaction of heavy hadrons in a model independent way. Predictability is obtained by exploiting the symmetries of QCD. Heavy hadron chiral perturbation theory is reviewed and used to describe D* decays. The phenomenologically important...
| Summary: | Effective field theory techniques are used to describe the interaction of heavy hadrons
in a model independent way. Predictability is obtained by exploiting the symmetries
of QCD. Heavy hadron chiral perturbation theory is reviewed and used to describe
D* decays. The phenomenologically important D*Dπ coupling is extracted from data
working to first order in the chiral and heavy quark symmetry breaking parameters.
A method is described for determining |V<sub>ub</sub>| from exclusive semileptonic B and D
decays with 10% uncertainty. An effective field theory for two-nucleon systems is
then discussed. The large S-wave scattering lengths necessitate expanding around a
non-trivial fixed point. A detailed discussion of the interplay between renormalization
and the power of counting is given. In power counting pion interactions with nucleons
it is useful to consider three classes of pion: potential, radiation, and soft. A power
counting for massive radiation is developed. Finally, it is shown that the leading terms
in the effective theory for nucleon-nucleon interactions are invariant under Wigner's
SU(4) spin-isospin symmetry in the infinite scattering length limit. |
|---|