Quark Mass Ratios in ChPT with the Difference of Quark Condensates Considered

Details Quark Mass Ratios in ChPT with the Difference of Quark Condensates Considered Quark Mass Ratios in ChPT with the Difference of Quark Condensates Considered

2007-03-02

arxiv.org/abs/hep-ph/0703023v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages

Scientific paper

10.1142/S0217751X08039931

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.

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