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arXiv · 2404.13618

Ratios of the light quark masses: Cubic curve vs ellipse

A. A. Osipov
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Abstract

The bounds on the light quark masses are obtained by fitting the squares of pseudoscalar meson masses $m_\pi^2$ and $m_K^2$ to second order in $1/N_c$ expansion. The result is an algebraic cubic curve whose coefficients are the known Weinberg values for the quark mass ratios $m_u/m_d$ and $m_s/m_d$. Additional restrictions arise when using the ratio $m_s/m_{ud}=27.23(10)$ quoted by FLAG for lattice simulations with four quark flavors. This provides a tight constraint on the ratio $m_u/m_d = 0.455(8)$.

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A. A. Osipov. 2024-04-21. Ratios of the light quark masses: Cubic curve vs ellipse. https://doi.org/10.1103/physrevd.110.014044

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