Strange quark mass from e+e- revisited and present status of light quark masses
| dc.creator | Narison, Stephan | |
| dc.date | 2005-10-09 | |
| dc.date | 2006-07-20 | |
| dc.date.accessioned | 2026-07-07T10:29:44Z | |
| dc.date.available | 2026-07-07T10:29:44Z | |
| dc.description | We reconsider the determinations of the strange quark mass m_s from e+e- into hadrons data using a new combination of FESR and revisiting the existing tau-like sum rules by including non-resonant contributions to the spectral functions. To order alpha_s^3 and including the tachyonic gluon mass lambda^2 contribution, which phenomenologically parametrizes the UV renormalon effect into the PT series, we obtain the invariant mass m_s=(119 +- 17)MeV leading to: m_s(2 GeV)=(104+- 15)MeV. Combining this value with the recent and independent phenomenological determinations from some other channels, to order alpha_s^3 and including lambda^2, we deduce the weighted average: m_s (2 GeV)=(96.1 +- 4.8)MeV . The positivity of the spectral functions in the (pseudo)scalar [resp. vector] channels leads to the lower [resp. upper] bounds of m_s(2 GeV): (71 +- 4) MeV < m_s(2 GeV) < (151 +- 14) MeV, to order alpha_s^3. Using the ChPT mass ratio r_3 = 2m_s/(m_u+m_d)=24.2 +- 1.5, and the average value of m_s, we deduce: (m_u+m_d)(2 GeV)=(7.9 +- 0.6) MeV, consistent with the pion sum rule result, which, combined with the ChPT value for m_u/m_d, gives: m_d(2 GeV)=(5.1 +- 0.4)MeV and m_u(2 GeV)=(2.8 +- 0.2)MeV. Finally, using (m_u+m_d) from the pion sum rule and the average value of m_s (without the pion sum rule), the method gives: r_3= 23.5 +- 5.8 in perfect agreement with the ChPT ratio, indicating the self-consistency of the sum rule results. Using the value: m_b(m_b)=(4.23 +- 0.06) GeV, we also obtain the model-building useful scale-independent mass ratio: m_b/m_s=50 +- 3. | |
| dc.description | Updated and improved average values. Version to appear in Phys. Rev. D | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0510108 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0510108 | |
| dc.identifier | Phys.Rev.D74:034013,2006 | |
| dc.identifier | doi:10.1103/PhysRevD.74.034013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/177911 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.subject | High Energy Physics - Experiment | |
| dc.subject | High Energy Physics - Lattice | |
| dc.subject | Nuclear Theory | |
| dc.title | Strange quark mass from e+e- revisited and present status of light quark masses | |
| dc.type | text |