Symmetry-preserving contact interaction model for heavy-light mesons

Abstract

We use a symmetry-preserving regularization method of ultraviolet divergences in a vector-vector contact interac- tion model for low-energy QCD. The contact interaction is a representation of nonperturbative kernels used Dyson-Schwinger and Bethe-Salpeter equations. The regularization method is based on a subtraction scheme that avoids standard steps in the evaluation of divergent integrals that invariably lead to symmetry violation. Aiming at the study of heavy-light mesons, we have implemented the method to the pseudoscalar pion and Kaon mesons. We have solved the Dyson-Schwinger equation for the u, d and s quark propagators, and obtained the bound-state Bethe-Salpeter amplitudes in a way that the Ward-Green-Takahashi identities reflecting global symmetries of the model are satisfied for arbitrary routing of the momenta running in loop integrals.

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Cited by in corpus (10)

• Exposing strangeness: projections for kaon electromagnetic form factors
• Charmed mesons with a symmetry-preserving contact interaction
• Mass spectrum and decay constants of radially excited vector mesons
• Aspects of open-flavour mesons in a comprehensive DSBSE study
• Excited hadrons and the analytical structure of bound-state interaction kernels
• A symmetry preserving contact interaction treatment of the kaon
• Heavy+light pseudoscalar meson semileptonic transitions
• Charmed mesons at finite temperature and chemical potential
• A contact interaction model for the $\eta$ and ${\eta }^{\prime }$ mesons in a SDE-BSE approach to QCD: masses, decay widths and transition form factors
• The Charm and Beauty of Strong Interactions