Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-11-11
Phys.Rev.D56:4115-4132,1997
Physics
High Energy Physics
High Energy Physics - Phenomenology
LateX, 40 pages and five PS files. Final version will appear in Phys. Rev. D56
Scientific paper
10.1103/PhysRevD.56.4115
To one-loop order and $O(\alpha_{em})$, the electromagnetic mass splittings of $\pi$, $a_1$, $K$, $K_1(1400)$, and $K^*(892)$ are calculated in the framework of $U(3)_L\times U(3)_R$ chiral field theory. The logarithmic divergences emerging in the Feynman integrations of the mesonic loops are factorized by using an intrinsic parameter $g$ of this theory. No other additional parameters or counterterms are introduced to absorb the mesonic loop divergences. When $f_\pi$,$m_\rho$ and $m_a$ are taken as inputs, the parameter $g$ will be determined and all the physical results are finite and fixed. Dashen's theorem is satisfied in the chiral SU(3) limit of this theory, and a rather large violation of the theorem is revealed at the order of $m_s$ or $m_K^2$. Mass ratios of light quarks have been determined. A relation for electromagnetic corrections to masses of axial-vector mesons is obtained. It could be regarded as a generalization of Dashen's theorem. Comparing with data, it is found that the non-electromagnetic mass difference of $K^*$ is in agreement with the estimation of Schechter, Subbaraman, Weigel.
Gao Dao-Neng
Li Bing An
Yan Mu-Lin
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