Renormalization group improved determination of light quark masses from Borel-Laplace sum rules
We determine masses of light quarks (\(m_u\),\(m_d\),\(m_s\)) using Borel-Laplace sum rules and renormalization group summed perturbation theory (RGSPT) from the divergence of the axial vector current. The RGSPT significantly reduces the scale dependence of the finite order perturbative series for t...
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| description | We determine masses of light quarks (\(m_u\),\(m_d\),\(m_s\)) using Borel-Laplace sum rules and renormalization group summed perturbation theory (RGSPT) from the divergence of the axial vector current. The RGSPT significantly reduces the scale dependence of the finite order perturbative series for the renormalization group (RG) invariant quantities such as spectral function, the second derivative of the polarization function of the pseudoscalar current correlator, and its Borel transformation. In addition, the convergence of the spectral function is significantly improved by summing all running logarithms and kinematical \(\pi^2\)-terms. Using RGSPT, we find \(m_s(2 GeV)=104.34_{-4.21}^{+4.23}\hs\MeV\), and \(m_d(2 GeV)=4.21_{-0.45}^{+0.48}\hs\MeV\) leading to \(m_u(2 GeV)=2.00_{-0.40}^{+0.33}\hs\MeV\). |
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The RGSPT significantly reduces the scale dependence of the finite order perturbative series for the renormalization group (RG) invariant quantities such as spectral function, the second derivative of the polarization function of the pseudoscalar current correlator, and its Borel transformation. In addition, the convergence of the spectral function is significantly improved by summing all running logarithms and kinematical \(\pi^2\)-terms. Using RGSPT, we find \(m_s(2 GeV)=104.34_{-4.21}^{+4.23}\hs\MeV\), and \(m_d(2 GeV)=4.21_{-0.45}^{+0.48}\hs\MeV\) leading to \(m_u(2 GeV)=2.00_{-0.40}^{+0.33}\hs\MeV\).</description><identifier>EISSN: 2331-8422</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Divergence ; Perturbation theory ; Quarks ; Series (mathematics) ; Sum rules ; Sums ; Vector currents</subject><ispartof>arXiv.org, 2023-10</ispartof><rights>2023. 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The RGSPT significantly reduces the scale dependence of the finite order perturbative series for the renormalization group (RG) invariant quantities such as spectral function, the second derivative of the polarization function of the pseudoscalar current correlator, and its Borel transformation. In addition, the convergence of the spectral function is significantly improved by summing all running logarithms and kinematical \(\pi^2\)-terms. Using RGSPT, we find \(m_s(2 GeV)=104.34_{-4.21}^{+4.23}\hs\MeV\), and \(m_d(2 GeV)=4.21_{-0.45}^{+0.48}\hs\MeV\) leading to \(m_u(2 GeV)=2.00_{-0.40}^{+0.33}\hs\MeV\).</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><oa>free_for_read</oa></addata></record> |
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| subjects | Divergence Perturbation theory Quarks Series (mathematics) Sum rules Sums Vector currents |
| title | Renormalization group improved determination of light quark masses from Borel-Laplace sum rules |
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