%0 Journal Article
%T Strange quark mass from $e^+e^-$ revisited and present status of light quark masses
%+ Laboratoire de Physique Théorique et Astroparticules (LPTA)
%A Narison, S.
%Z Updated and improved average values. Version to appear in Phys. Rev. D
%< avec comité de lecture
%@ 1550-7998
%J Physical Review D
%I American Physical Society
%V 74
%P 034013
%8 2006
%D 2006
%Z hep-ph/0510108
%R 10.1103/PhysRevD.74.034013
%Z 11.30.Rd, 12.38.Lg, 13.66.Bc, 14.65.Bt
%Z Physics [physics]/High Energy Physics - Experiment [hep-ex]
%Z Physics [physics]/High Energy Physics - Lattice [hep-lat]
%Z Physics [physics]/High Energy Physics - Phenomenology [hep-ph]
%Z Physics [physics]/Nuclear Theory [nucl-th]Journal articles
%X 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.
%G English
%L in2p3-00118976
%U https://hal.in2p3.fr/in2p3-00118976
%~ IN2P3
%~ LPTA
%~ CNRS
%~ UNIV-MONTP2
%~ UNIV-MONTPELLIER
%~ UM1-UM2