Universal scale factors relating mesonic fields and quark operators

Amir H. Fariborz; J. Ho; T. G. Steele

doi:10.1142/s0217732320501734

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arXiv · 1911.04945

Universal scale factors relating mesonic fields and quark operators

Amir H. Fariborz·J. Ho·T. G. Steele

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Abstract

Scale factor matrices relating mesonic fields in chiral Lagrangians and quark-level operators of QCD sum-rules are shown to be constrained by chiral symmetry, resulting in universal scale factors for each chiral nonet. Built upon this interplay between chiral Lagrangians and QCD sum-rules, the scale factors relating the $a_0$ isotriplet scalar mesons to their underlying quark composite field were recently determined. It is shown that the same technique when applied to $K_0^*$ isodoublet scalars reproduces the same scale factors, confirming the universality property and further validating this connection between chiral Lagrangians and QCD sum-rules which can have nontrivial impacts on our understanding of the low-energy QCD, in general, and the physics of scalar mesons in particular.

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Amir H. Fariborz, J. Ho, T. G. Steele. 2019-11-10. Universal scale factors relating mesonic fields and quark operators. https://doi.org/10.1142/s0217732320501734

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