Revisiting K 1 ( 1270 ) − K 1 ( 1400 ) mixing with QCD sum rules

We investigate the K 1 ( 1270 ) − K 1 ( 1400 ) mixing induced by the flavor S U ( 3 ) symmetry breaking. The mixing angle is calculated in a purely theoretical manner, where it is expressed by a K 1 A → K 1 B transition matrix element of the operators that break flavor S U ( 3 ) symmetry. The QCD co...

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Bibliographic Details
Published in:Physical review. D 2024-01, Vol.109 (1), Article 016027
Main Authors: Shi, Yu-Ji, Zeng, Jun, Deng, Zhi-Fu
Format: Article
Language:English
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Summary:We investigate the K 1 ( 1270 ) − K 1 ( 1400 ) mixing induced by the flavor S U ( 3 ) symmetry breaking. The mixing angle is calculated in a purely theoretical manner, where it is expressed by a K 1 A → K 1 B transition matrix element of the operators that break flavor S U ( 3 ) symmetry. The QCD contribution to this matrix element is assumed to be dominated and calculated with 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-five condensates. A detailed numerical analysis is performed to determine the Borel parameters, and the obtained mixing angle is θ K 1 = 21.4 ° ± 9 ° or θ K 1 = 68.6 ° ± 9 ° .
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.109.016027