# CONSTRAINED FIT INFORMATIONshow precise values?

 An overall fit to 31 branching ratios uses 41 measurements and one constraint to determine 17 parameters. The overall fit has a $\chi {}^{2}$ = 62.8 for 25 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.

 x17 100 x18 100 x25 100 x29 100 x36 100 x43 100 x45 100 x68 100 x77 100 x93 100 x94 100 x97 100 x99 100 x116 100 x117 100 x118 100 x149 100 x17 x18 x25 x29 x36 x43 x45 x68 x77 x93 x94 x97 x99 x116 x117 x118 x149

 Mode Fraction (Γi / Γ) Scale factor Γ17 ${{\mathit D}^{+}}$ $\rightarrow$ ${{\overline{\mathit K}}^{0}}{{\mathit \mu}^{+}}{{\mathit \nu}_{{\mu}}}$ $0.0876$ $\pm0.0019$ Γ18 ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit e}^{+}}{{\mathit \nu}_{{e}}}$ $0.0402$ $\pm0.0018$ 3.2 Γ25 ${{\mathit D}^{+}}$ $\rightarrow$ ${{\overline{\mathit K}}^{*}{(892)}^{0}}{{\mathit e}^{+}}{{\mathit \nu}_{{e}}}$ $0.0540$ $\pm0.0010$ 1.1 Γ29 ${{\mathit D}^{+}}$ $\rightarrow$ ${{\overline{\mathit K}}^{*}{(892)}^{0}}{{\mathit \mu}^{+}}{{\mathit \nu}_{{\mu}}}$ $0.0527$ $\pm0.0015$ 1.0 Γ36 ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit \rho}^{0}}{{\mathit e}^{+}}{{\mathit \nu}_{{e}}}$ $0.00218$ ${}^{+.00017}_{-.00025}$ Γ43 ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}$ $0.01562$ $\pm0.00031$ 1.7 Γ45 ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}^{-}}$2 ${{\mathit \pi}^{+}}$ $0.0938$ $\pm0.0016$ 1.6 Γ68 ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}^{-}}$3 ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ $0.0057$ $\pm0.0005$ 1.1 Γ77 ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{0}}$ $0.001247$ $\pm0.000033$ Γ93 ${{\mathit D}^{+}}$ $\rightarrow$ 3 ${{\mathit \pi}^{+}}$2 ${{\mathit \pi}^{-}}$ $0.00166$ $\pm0.00016$ 1.1 Γ94 ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit \eta}}{{\mathit \pi}^{+}}$ $0.00377$ $\pm0.00009$ Γ97 ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit \eta}^{\,'}{(958)}}{{\mathit \pi}^{+}}$ $0.00497$ $\pm0.00019$ Γ99 ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}_S^0}$ $0.00304$ $\pm0.00009$ 2.2 Γ116 ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{0}}$ ($2.08$ $\pm0.21$) $\times 10^{-4}$ 1.4 Γ117 ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \eta}}$ ($1.25$ $\pm0.16$) $\times 10^{-4}$ 1.1 Γ118 ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \eta}^{\,'}{(958)}}$ ($1.85$ $\pm0.20$) $\times 10^{-4}$ Γ149 ${{\mathit D}^{+}}$ $\rightarrow$ Unaccounted decay modes $0.633$ $\pm0.004$ 1.3