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Advances in High Energy Physics
Volume 2019, Article ID 6927130, 14 pages
Research Article

Direct Violation from Isospin Symmetry Breaking Effects for the Decay Process in PQCD

College of Science, Henan University of Technology, Zhengzhou 450001, China

Correspondence should be addressed to Gang Lü; moc.anis@66vlgnag

Received 26 February 2019; Revised 16 April 2019; Accepted 2 May 2019; Published 21 May 2019

Academic Editor: Enrico Lunghi

Copyright © 2019 Gang Lü and Qin-Qin Zhi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


We investigate the direct violation for the decay process of (P,V refer to the pseudoscalar meson and vector meson, resp.) via isospin symmetry breaking effects from the mixing mechanism in PQCD factorization approach. Isospin symmetry breaking arises from the electroweak interaction and the u-d quark mass difference by the strong interaction, which are known to be tiny. However, we find that isospin symmetry breaking at the leading order shifts the violation due to the new strong phases.