Quark Mass Ratios in ChPT with the Difference of Quark Condensates Considered
High Energy Physics - Phenomenology
2009-11-13 v1
Abstract
The chiral effective Lagrangian for pseudoscalar nonet is constructed in consideration of isospin breaking. And the difference of quark condensates is taken accounted. The SU(3) singlet eta0 is not taken as Goldstone-boson. The mixing with and without isospin symmetry is considered. The quark mass ratios are obtained through solving the mass equations of mesons. We estimate the change of quark mass ratios according to the change of the masses of pion+ and kaon+ to see how the electromagnetic corrections affect our results. It turn out that massless up quark is possible. The upper limit for mu/md is around 0.39. 2ms/(mu+md)=24.23~25.12. The values for quark condensate ratios and other constants are limited in narrow ranges.
Keywords
Cite
@article{arxiv.hep-ph/0703023,
title = {Quark Mass Ratios in ChPT with the Difference of Quark Condensates Considered},
author = {Xiaoya Li and Xiaofu Lv},
journal= {arXiv preprint arXiv:hep-ph/0703023},
year = {2009}
}
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10 pages