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CONSTRAINED FIT INFORMATION show precise values?

An overall fit to 81 branching ratios uses 153 measurements to determine 39 parameters. The overall fit has a $\chi {}^{2}$ = 183.0 for 114 degrees of freedom.     The following off-diagonal array elements are the correlation coefficients <$\mathit \delta $p$_{i}\delta $p$_{j}$> $/$ ($\mathit \delta $p$_{i}\cdot{}\delta $p$_{j}$), in percent, from the fit to parameters ${{\mathit p}_{{{i}}}}$, including the branching fractions, $\mathit x_{i}$ = $\Gamma _{i}$ $/$ $\Gamma _{total}$.

x6  100  x20    100  x21      100  x22        100  x23          100  x27            100  x29              100  x39                100  x40                  100  x47                    100  x48                      100  x53                        100  x68                          100  x87                            100  x98                              100  x104                                100  x113                                  100  x126                                    100  x128                                      100  x129                                        100  x130                                          100  x144                                            100  x151                                              100  x152                                                100  x153                                                  100  x171                                                    100  x239                                                      100  x259                                                        100  x261                                                          100  x265                                                            100  x266                                                              100  x267                                                                100  x268                                                                  100  x279                                                                    100  x303                                                                      100  x340                                                                        100  x344                                                                          100  x351                                                                            100  x356                                                                              100     x6   x20   x21   x22   x23   x27   x29   x39   x40   x47   x48   x53   x68   x87   x98   x104   x113   x126   x128   x129   x130   x144   x151   x152   x153   x171   x239   x259   x261   x265   x266   x267   x268   x279   x303   x340   x344   x351   x356

Mode  Fraction (Γi / Γ) Scale factor Γ6  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \mu}^{+}}$ anything  ($6.8$ $\pm0.6$) $ \times 10^{-2}$  Γ20  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit e}^{+}}{{\mathit \nu}_{{{e}}}}$  ($3.537$ $\pm0.017$) $ \times 10^{-2}$  1.1 Γ21  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \mu}^{+}}{{\mathit \nu}_{{{\mu}}}}$  ($3.418$ $\pm0.019$) $ \times 10^{-2}$  Γ22  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{*}{(892)}^{-}}{{\mathit e}^{+}}{{\mathit \nu}_{{{e}}}}$  ($2.16$ $\pm0.16$) $ \times 10^{-2}$  Γ23  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{*}{(892)}^{-}}{{\mathit \mu}^{+}}{{\mathit \nu}_{{{\mu}}}}$  ($2.01$ $\pm0.06$) $ \times 10^{-2}$  1.7 Γ27  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{0}}{{\mathit \mu}^{+}}{{\mathit \nu}_{{{\mu}}}}$  ($7.10$ $\pm0.21$) $ \times 10^{-3}$  1.7 Γ29  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\overline{\mathit K}}^{0}}{{\mathit \pi}^{-}}{{\mathit \mu}^{+}}{{\mathit \nu}_{{{\mu}}}}$  ($1.40$ $\pm0.04$) $ \times 10^{-2}$  1.7 Γ39  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit e}^{+}}{{\mathit \nu}_{{{e}}}}$  ($2.91$ $\pm0.04$) $ \times 10^{-3}$  1.0 Γ40  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit \mu}^{+}}{{\mathit \nu}_{{{\mu}}}}$  ($2.67$ $\pm0.12$) $ \times 10^{-3}$  1.3 Γ47  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}$  ($3.936$ $\pm0.030$) $ \times 10^{-2}$  1.3 Γ48  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{0}}$  ($1.239$ $\pm0.022$) $ \times 10^{-2}$  Γ53  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$  ($2.84$ $\pm0.16$) $ \times 10^{-2}$  1.1 Γ68  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{0}}$  ($14.4$ $\pm0.5$) $ \times 10^{-2}$  2.0 Γ87  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}$2 ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$  ($8.20$ $\pm0.14$) $ \times 10^{-2}$  1.2 Γ98  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$  ($5.2$ $\pm0.6$) $ \times 10^{-2}$  Γ104  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}$2 ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$  ($4.3$ $\pm0.4$) $ \times 10^{-2}$  Γ113  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \eta}}$  ($1.88$ $\pm0.05$) $ \times 10^{-2}$  1.4 Γ126  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}$3 ${{\mathit \pi}^{+}}$2 ${{\mathit \pi}^{-}}$  ($1.48$ $\pm0.32$) $ \times 10^{-4}$  1.4 Γ128  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \eta}}$  ($5.08$ $\pm0.13$) $ \times 10^{-3}$  Γ129  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \omega}}$  ($1.11$ $\pm0.06$) $ \times 10^{-2}$  Γ130  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \eta}^{\,'}{(958)}}$  ($9.49$ $\pm0.32$) $ \times 10^{-3}$  Γ144  ${{\mathit D}^{0}}$ $\rightarrow$ 3 ${{\mathit K}_S^0}$   ($7.6$ $\pm0.7$) $ \times 10^{-4}$  1.4 Γ151  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$  ($1.451$ $\pm0.024$) $ \times 10^{-3}$  1.4 Γ152  ${{\mathit D}^{0}}$ $\rightarrow$ 2 ${{\mathit \pi}^{0}}$  ($8.25$ $\pm0.25$) $ \times 10^{-4}$  Γ153  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$  ($1.49$ $\pm0.06$) $ \times 10^{-2}$  2.1 Γ171  ${{\mathit D}^{0}}$ $\rightarrow$ 2 ${{\mathit \pi}^{+}}$2 ${{\mathit \pi}^{-}}$  ($7.15$ $\pm0.25$) $ \times 10^{-3}$  2.2 Γ239  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \eta}}{{\mathit \pi}^{0}}$  ($6.3$ $\pm0.5$) $ \times 10^{-4}$  1.1 Γ259  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \eta}^{\,'}{(958)}}{{\mathit \pi}^{0}}$  ($9.2$ $\pm1.0$) $ \times 10^{-4}$  Γ261  ${{\mathit D}^{0}}$ $\rightarrow$ 2 ${{\mathit \eta}}$  ($2.11$ $\pm0.19$) $ \times 10^{-3}$  2.3 Γ265  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \eta}}{{\mathit \eta}^{\,'}{(958)}}$  ($1.01$ $\pm0.19$) $ \times 10^{-3}$  Γ266  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$  ($4.07$ $\pm0.06$) $ \times 10^{-3}$  1.6 Γ267  ${{\mathit D}^{0}}$ $\rightarrow$ 2 ${{\mathit K}_S^0}$   ($1.41$ $\pm0.05$) $ \times 10^{-4}$  1.1 Γ268  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}$  ($3.4$ $\pm0.5$) $ \times 10^{-3}$  1.1 Γ279  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$  ($2.19$ $\pm0.34$) $ \times 10^{-3}$  1.1 Γ303  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$  ($2.78$ $\pm0.17$) $ \times 10^{-3}$  3.6 Γ340  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \phi}}{{\mathit \gamma}}$  ($2.80$ $\pm0.19$) $ \times 10^{-5}$  Γ344  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$  ($1.48$ $\pm0.07$) $ \times 10^{-4}$  3.1 Γ351  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$  ($3.05$ $\pm0.13$) $ \times 10^{-4}$  1.3 Γ356  ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{+}}$2 ${{\mathit \pi}^{-}}$  ($2.64$ $\pm0.06$) $ \times 10^{-4}$  1.1

An overall fit to 3 branching ratios uses 3 measurements and one constraint to determine 4 parameters. The overall fit has a $\chi {}^{2}$ = 0.0 for 0 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, $\mathit x_{i}$ = $\Gamma _{i}$ $/$ $\Gamma _{total}$.

x1  100  x2    100  x3      100  x4        100     x1   x2   x3   x4

Mode  Fraction (Γi / Γ) Scale factor Γ1  ${{\mathit D}^{0}}$ $\rightarrow$ 0-prongs  ($15$ $\pm6$) $ \times 10^{-2}$  Γ2  ${{\mathit D}^{0}}$ $\rightarrow$ 2-prongs  ($71$ $\pm6$) $ \times 10^{-2}$  Γ3  ${{\mathit D}^{0}}$ $\rightarrow$ 4-prongs  ($14.6$ $\pm0.5$) $ \times 10^{-2}$  Γ4  ${{\mathit D}^{0}}$ $\rightarrow$ 6-prongs  ($6.5$ $\pm1.3$) $ \times 10^{-4}$

 

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