Revisiting \(K_1(1270)- K_1(1400)\) mixing in QCD sum rules

We investigate the \(K_1(1270)-K_1(1400)\) mixing caused by the flavor \(SU(3)\) symmetry breaking. The mixing angle is expressed by a \(K_{1A}\to K_{1B}\) matrix element induced by the operators that breaks flavor \(SU(3)\) symmetry. The QCD contribution to this matrix element is assumed to be domi...

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Bibliographic Details
Published in:arXiv.org 2023-10
Main Authors: Yu-Ji, Shi, Zeng, Jun, Zhi-Fu Deng
Format: Article
Language:English
Subjects:
Broken symmetry
Correlation
Flavor (particle physics)
Gluons
Numerical analysis
Operators (mathematics)
Quantum chromodynamics
Quarks
Sum rules
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Summary:We investigate the \(K_1(1270)-K_1(1400)\) mixing caused by the flavor \(SU(3)\) symmetry breaking. The mixing angle is expressed by a \(K_{1A}\to K_{1B}\) matrix element induced by the operators that breaks flavor \(SU(3)\) symmetry. The QCD contribution to this matrix element is assumed to be dominated and calculated by QCD sum rules. A three-point correlation function is defined and handled both at the hadron and quark-gluon levels. The quark-gluon level calculation is based on operator product expansion up to dimension-5 condensates. A detailed numerical analysis is performed to determine the Borel parameters, and the obtained mixing angle is \(\theta_{K_1}=22^{\circ}\pm 7^{\circ}\) or \(\theta_{K_1}=68^{\circ}\pm 7^{\circ}\).
ISSN:2331-8422