Revisiting K₁(1270)- K₁(1400) mixing in QCD sum rules

2023/10/31 by Shi, Yu-Ji, Zeng, Jun, Deng, Zhi-Fu
#FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.2310.20429

Abstract

We investigate the K₁(1270)-K₁(1400) mixing caused by the flavor SU(3) symmetry breaking. The mixing angle is expressed by a K_1A→ 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 θ_K1=22^∘± 7^∘ or θ_K1=68^∘± 7^∘.

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