Scalar K pi form factor and light quark masses

Details Scalar K pi form factor and light quark masses Scalar K pi form factor and light quark masses

2006-05-09

arxiv.org/abs/hep-ph/0605095v2

Phys.Rev.D74:074009,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 2 figures; comparison with lattice and global average added; version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.74.074009

Recent experimental improvements on K-decay data allow for a precise extraction of the strangeness-changing scalar K pi form factor and the related strange scalar spectral function. On the basis of this scalar as well as the corresponding pseudoscalar spectral function, the strange quark mass is determined to be m_s(2 GeV) = 92 +- 9 MeV. Further taking into account chiral perturbation theory mass ratios, the light up and down quark masses turn out to be m_u(2 GeV) = 2.7 +- 0.4 MeV as well as m_d(2 GeV) = 4.8 +- 0.5 MeV. As a by-product, we also find a value for the Cabibbo angle |V_{us}| = 0.2236(29) and the ratio of meson decay constants F_K/F_\pi = 1.203(16). Performing a global average of the strange mass by including extractions from other channels as well as lattice QCD results yields m_s(2 GeV) = 94 +- 6 MeV.

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