OTHER LIGHT QUARK MASS RATIOS

$\mathit Q$ MASS RATIO INSPIRE search

$\mathit Q{}\equiv\sqrt {({{\mathit m}^{2}}_{{{\mathit s}}}−{{\overline{\mathit m}}}{}^{2})/({{\mathit m}^{2}}_{{{\mathit d}}}−{{\mathit m}^{2}}_{{{\mathit u}}}) }$; ${{\overline{\mathit m}}}{}\equiv$ (${\mathit m}_{{{\mathit u}}}$ $+$ ${\mathit m}_{{{\mathit d}}})/$2
VALUE DOCUMENT ID TECN
• • • We do not use the following data for averages, fits, limits, etc. • • •
$22.0$ $\pm0.7$ 1
COLANGELO
2017
$23.4$ $\pm0.4$ $\pm0.5$ 2
FODOR
2016
LATT
$22.8$ $\pm0.4$ 3
MARTEMYANOV
2005
THEO
$22.7$ $\pm0.8$ 4
ANISOVICH
1996
THEO
1  COLANGELO 2017 obtain ${{\mathit Q}}$ from a dispersive analysis of KLOE collaboration data on ${{\mathit \eta}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$ decays and chiral perturbation theory input.
2  FODOR 2016 is a lattice simulation with ${{\mathit N}_{{f}}}$ = 2 + 1 dynamical flavors and includes partially quenched QED effects.
3  MARTEMYANOV 2005 determine $\mathit Q$ from ${{\mathit \eta}}$ $\rightarrow$ 3 ${{\mathit \pi}}$ decay.
4  ANISOVICH 1996 find $\mathit Q$ from ${{\mathit \eta}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$ decay using dispersion relations and chiral perturbation theory.
  References:
COLANGELO 2017
PRL 118 022001 The Decay ${{\mathit \eta}}$ $\rightarrow$ 3 ${{\mathit \pi}}$ : Study of the Dalitz Plot and Extraction of the Quark Mass Ratio
FODOR 2016
PRL 117 082001 Up and Down Quark Masses and Corrections to Dashen's Theorem from Lattice QCD and Quenched QED
MARTEMYANOV 2005
PR D71 017501 Light Quark Mass Ratio from the Dalitz Plot of ${{\mathit \eta}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$ Decay
ANISOVICH 1996
PL B375 335 Dispersive Analysis of the Decay ${{\mathit \eta}}$ $\rightarrow$ 3 ${{\mathit \pi}}$
ANISOVICH 1996D
PPN 27 1 Quark $−$ Hadron Duality in Meson Physics and Quark Confinement