# CONSTRAINED FIT INFORMATIONshow precise values?

 An overall fit to 5 branching ratios uses 10 measurements and one constraint to determine 4 parameters. The overall fit has a $\chi {}^{2}$ = 14.7 for 7 degrees of freedom.

The following off-diagonal array elements are the correlation coefficients <$\mathit \delta$x$_{i}$~$\delta$x$_{j}$> $/$ ($\mathit \delta$x$_{i}\cdot{}\delta$x$_{j}$), in percent, from the fit to parameters ${{\mathit p}_{{i}}}$, including the branching fractions, $\mathit x_{i}$ =$\Gamma _{i}$ $/$ $\Gamma _{total}$. The fit constrains the ${{\mathit x}_{{i}}}$ whose labels appear in this array to sum to one.

 x1 100 x4 100 x5 100 x6 100 x1 x4 x5 x6

 Mode Fraction (Γi / Γ) Scale factor Γ1 ${{\mathit \rho}_{{3}}{(1690)}}$ $\rightarrow$ 4 ${{\mathit \pi}}$ $0.711$ $\pm0.019$ Γ4 ${{\mathit \rho}_{{3}}{(1690)}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$ $0.236$ $\pm0.013$ 1.0 Γ5 ${{\mathit \rho}_{{3}}{(1690)}}$ $\rightarrow$ ${{\mathit K}}{{\overline{\mathit K}}}{{\mathit \pi}}$ $0.038$ $\pm0.012$ Γ6 ${{\mathit \rho}_{{3}}{(1690)}}$ $\rightarrow$ ${{\mathit K}}{{\overline{\mathit K}}}$ $0.0158$ $\pm0.0026$ 1.2