# CONSTRAINED FIT INFORMATIONshow precise values?

 An overall fit to 6 branching ratios uses 10 measurements and one constraint to determine 5 parameters. The overall fit has a $\chi {}^{2}$ = 5.6 for 6 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 x11 100 x12 100 x13 100 x1 x4 x11 x12 x13

 Mode Fraction (Γi / Γ) Scale factor Γ1 ${{\mathit f}_{{0}}{(1500)}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$ $0.345$ $\pm0.022$ 1.2 Γ4 ${{\mathit f}_{{0}}{(1500)}}$ $\rightarrow$ 4 ${{\mathit \pi}}$ $0.489$ $\pm0.033$ 1.2 Γ11 ${{\mathit f}_{{0}}{(1500)}}$ $\rightarrow$ ${{\mathit \eta}}{{\mathit \eta}}$ $0.060$ $\pm0.009$ 1.1 Γ12 ${{\mathit f}_{{0}}{(1500)}}$ $\rightarrow$ ${{\mathit \eta}}{{\mathit \eta}^{\,'}{(958)}}$ $0.022$ $\pm0.008$ 1.4 Γ13 ${{\mathit f}_{{0}}{(1500)}}$ $\rightarrow$ ${{\mathit K}}{{\overline{\mathit K}}}$ $0.085$ $\pm0.010$ 1.1