Ratios of the light quark masses: Cubic curve vs ellipse
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914937252610048 |
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| author | Osipov, A. A. |
| author_facet | Osipov, A. A. |
| contents | The bounds on the light quark masses are obtained by fitting the squares of pseudoscalar meson masses $m_π^2$ 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 $m_u/m_d = 0.455(8)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_13618 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ratios of the light quark masses: Cubic curve vs ellipse Osipov, A. A. High Energy Physics - Phenomenology The bounds on the light quark masses are obtained by fitting the squares of pseudoscalar meson masses $m_π^2$ 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 $m_u/m_d = 0.455(8)$. |
| title | Ratios of the light quark masses: Cubic curve vs ellipse |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2404.13618 |