Abstract
We study the chiral expansion of meson masses and decay constants using a chiral Lagrangian that was constructed previously based on the hadrogenesis conjecture. The one-loop self energies of the Goldstone bosons and vector mesons are evaluated. It is illustrated that a renormalizeable effective field theory arises once specific conditions on the low-energy constants are imposed. For the case where the hadrogenesis mass gap scale Lambda_{HG} is substantially larger than the chiral symmetry breaking scale Lambda_chi a partial summation scheme is required. All terms proportional to (M/\Lambda_\chi)^n can be summed by a suitable renormalization, where M is the chiral and large-N_c limit of the vector meson masses in QCD. The size of loop effects from vector meson degrees of freedom is illustrated for physical quarks masses. Naturally sized effects are observed that have significant impact on the chiral structure of low-energy QCD with three light flavours.
Highlights
Vector meson degrees of freedom are known to play an important role in hadron physics
We study the chiral expansion of meson masses and decay constants using a chiral Lagrangian that was constructed previously based on the hadrogenesis conjecture
Based on the leading order interaction the one-loop contributions to the vector meson masses were computed in application of dimensional counting rules
Summary
Vector meson degrees of freedom are known to play an important role in hadron physics. A possible minimal scenario would be that those relevant degrees of freedom are the Goldstone bosons accompanied by the light vector mesons only Based on this assumption the leading order chiral Lagrangian was constructed in [14]. While in [14] a chiral Lagrangian was constructed according to a dimensional power counting scheme in the presence of a conjectured hadrogenesis scale ΛHG, its consistency as an effective field theory remained an open issue. Can it be renormalized convincingly [44,45]?
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