Abstract

We briefly review common features and overlapping issues in hadron and flavor physics focussing on continuum QCD approaches to heavy bound states, their mass spectrum and weak decay constants in different strong interaction models.

Highlights

  • While certain quarkonia provide a relatively clean environment to probe strong dynamics, and the mass spectrum of their confined quarks is reasonably well described in nonrelativistic perturbative Quantum Chromodynamics (QCD), many of the heavier XYZ states close to threshold may not be pure qq states but admixtures of meson molecules and a core of quarks

  • It is exactly in the case of heavy-light mesons where our understanding of their QCD dynamics and emerging properties are the least well understood within continuum QCD approaches [10,11,12,13,14,15,16,17,18,19]

  • The main object of study in flavor physics is the origin of CP-violating phases in weak decays of flavored quarks confined in hadrons, where the Cabibbo-Kobayashi-Maskawa (CKM) mechanism has been established as the dominant Standard Model source of CP violation in heavymeson decays

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Summary

Spectroscopy from continuum QCD

Charmonia and Bottomonia have first been explored within a rainbow-ladder truncation of the gap and Bethe-Salpeter equations in the work by Jain and Munczek [33]. The full nonperturbative quark-gluon vertex, Γaν(k, p), plays a crucial role for DCSB [45,46,47,48,49,50,51,52,53] and when only the leading Dirac covariant, γμ, is included, the lack of strength to produce sufficient DCSB in the quark mass must be compensated by an enhanced gluon-dressing function This is the premise of the leading rainbow-ladder truncation scheme which satisfies the axialvector Ward-Green-Takahashi identity and correctly describes chiral symmetry and its breaking pattern [54]. Where mg 800 MeV is a gluon mass scale generated dynamically in QCD1, and αIR is a parameter that determines the interaction strength [42] With this simplification, the solution to the gap equation becomes,. We observe that, so far, none of the BSE truncations provides a solution for the B mesons

Weak decay constants of ground states and radial excitations
Final remarks
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