Strengthening the Bridge Between Chiral Lagrangians and QCD Sum-Rules
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915593200861184 |
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| author | Ho, J. Fariborz, Amir H. Steele, T. G. |
| author_facet | Ho, J. Fariborz, Amir H. Steele, T. G. |
| contents | Previous work has shown that mesonic fields in chiral Lagrangians can be systematically connected to quark-level operators in QCD sum rules through chiral-symmetry constrained and energy-independent scale factor matrices. This framework yields universal scale factors associated with each chiral nonet, whether composed of quark-antiquark ($q\bar{q}$) or four-quark ($qq\bar{q}\bar{q}$) operators. Building on the demonstrated scale-factor universality for the $K_0^*$ isodoublet and $a_0$ isotriplet scalar mesons, we develop a revised Gaussian QCD sum-rule methodology that extends the analysis to higher-dimensional isospin sectors. To access nonperturbative information about resonances arising from final-state interactions, we introduce a background-resonance interference approximation. This approximation successfully reproduces both $πK$ scattering amplitude data and $πη$ scattering predictions. It also motivates new resonance models that enhance the scale-factor analysis linking chiral Lagrangians to QCD sum rules. Within this refined framework, we explore the scale factors for the $K_0^*$ and $a_0$ mesons across a sequence of increasingly detailed resonance models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_16380 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Strengthening the Bridge Between Chiral Lagrangians and QCD Sum-Rules Ho, J. Fariborz, Amir H. Steele, T. G. High Energy Physics - Phenomenology Previous work has shown that mesonic fields in chiral Lagrangians can be systematically connected to quark-level operators in QCD sum rules through chiral-symmetry constrained and energy-independent scale factor matrices. This framework yields universal scale factors associated with each chiral nonet, whether composed of quark-antiquark ($q\bar{q}$) or four-quark ($qq\bar{q}\bar{q}$) operators. Building on the demonstrated scale-factor universality for the $K_0^*$ isodoublet and $a_0$ isotriplet scalar mesons, we develop a revised Gaussian QCD sum-rule methodology that extends the analysis to higher-dimensional isospin sectors. To access nonperturbative information about resonances arising from final-state interactions, we introduce a background-resonance interference approximation. This approximation successfully reproduces both $πK$ scattering amplitude data and $πη$ scattering predictions. It also motivates new resonance models that enhance the scale-factor analysis linking chiral Lagrangians to QCD sum rules. Within this refined framework, we explore the scale factors for the $K_0^*$ and $a_0$ mesons across a sequence of increasingly detailed resonance models. |
| title | Strengthening the Bridge Between Chiral Lagrangians and QCD Sum-Rules |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2509.16380 |