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Light quark mass ratio from Dalitz plot of $\eta \to \pi^+\pi^-\pi^0$ decay

High Energy Physics - Phenomenology 2008-11-26 v1

Abstract

High statistics Dalitz-plot distribution of ηπ+ππ0\eta \to \pi^+\pi^-\pi^0 decay obtained recently by KLOE collaboration \cite{kloe} is fitted to the results of corresponding theoretical calculations in Chiral Perturbation Theory (ChPT) with unitarity corrections taken into account. The quark mass ratio Q=(ms2(md+mu)2/4)/(md2mu2)Q = \sqrt{(m^2_s - (m_d + m_u)^2/4)/(m^2_d - m^2_u)} can be otained from this analysis. We get Q=22.8±0.4Q= 22.8\pm 0.4 which differs from the value QDT=24.2Q_{DT} = 24.2 that follows from Dashen's theorem and agrees with recently calculated electromagnetic kaon mass difference.

Keywords

Cite

@article{arxiv.hep-ph/0502023,
  title  = {Light quark mass ratio from Dalitz plot of $\eta \to \pi^+\pi^-\pi^0$ decay},
  author = {B. V. Martemyanov and V. S. Sopov},
  journal= {arXiv preprint arXiv:hep-ph/0502023},
  year   = {2008}
}

Comments

2 pages, no figures