Electromagnetic mass splittings of $π, a_1, K, K_1(1400)$ and $K^*(892)$

Simple item page
dc.creatorGao, Dao-Neng
dc.creatorLi, Bing An
dc.creatorYan, Mu-Lin
dc.date1996-11-11
dc.date1997-08-25
dc.date.accessioned2026-07-07T10:33:25Z
dc.date.available2026-07-07T10:33:25Z
dc.descriptionTo one-loop order and $O(α_{em})$, the electromagnetic mass splittings of $π$, $a_1$, $K$, $K_1(1400)$, 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 $f_π$,$m_ρ$ 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.
dc.descriptionLateX, 40 pages and five PS files. Final version will appear in Phys. Rev. D56
dc.identifierhttps://arxiv.org/abs/hep-ph/9611297
dc.identifierhttp://arxiv.org/abs/hep-ph/9611297
dc.identifierPhys.Rev.D56:4115-4132,1997
dc.identifierdoi:10.1103/PhysRevD.56.4115
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/179102
dc.subjectHigh Energy Physics - Phenomenology
dc.titleElectromagnetic mass splittings of $π, a_1, K, K_1(1400)$ and $K^*(892)$
dc.typetext

Files

Collections

arXiv