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A note on the determination of light quark mass splitting | A. Deandrea
; A. Nehme
; P. Talavera
; | Date: |
20 Mar 2008 | Abstract: | We provide a model-independent determination of the quantity B_0(m_d-m_u).
Our approach rests only on chiral symmetry and data from the decay of the eta
into three neutral pions. Since the low-energy prediction at next-to-leading
order fails to reproduce the experimental results, we keep the strong
interaction correction as an unknown parameter. As a first step, we relate this
parameter to the quark mass difference using data from the Dalitz plot. A
similar relation is obtained using data from the decay width. Combining both
relations we obtain B_0(m_d-m_u)=(4495 +/- 440) MeV^2. We use the preceding
value to estimate the size of the violation of Dashen’s theorem and the quark
mass ratio m_u/m_d. | Source: | arXiv, 0803.2956 | Services: | Forum | Review | PDF | Favorites |
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