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CONSTRAINED FIT INFORMATION show precise values?

An overall fit to 68 branching ratios uses 134 measurements and one constraint to determine 34 parameters. The overall fit has a $\chi {}^{2}$ = 149.3 for 101 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.

x6   100  x19     100  x20       100  x21         100  x30           100  x31             100  x37               100  x38                 100  x43                   100  x58                     100  x77                       100  x88                         100  x94                           100  x103                             100  x117                               100  x118                                 100  x119                                   100  x133                                     100  x140                                       100  x141                                         100  x142                                           100  x160                                             100  x189                                               100  x203                                                 100  x205                                                   100  x209                                                     100  x210                                                       100  x211                                                         100  x212                                                           100  x223                                                             100  x284                                                               100  x288                                                                 100  x295                                                                   100  x355                                                                     100     x6   x19   x20   x21   x30   x31   x37   x38   x43   x58   x77   x88   x94   x103   x117   x118   x119   x133   x140   x141   x142   x160   x189   x203   x205   x209   x210   x211   x212   x223   x284   x288   x295   x355

Mode  Fraction (Γi / Γ) Scale factor Γ6   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \mu}^{+}}$ anything  $0.068$ $\pm0.006$  Γ19   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit e}^{+}}{{\mathit \nu}_{{e}}}$   $0.03549$ $\pm0.00026$  1.2 Γ20   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \mu}^{+}}{{\mathit \nu}_{{\mu}}}$   $0.0341$ $\pm0.0004$  1.0 Γ21   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{*}{(892)}^{-}}{{\mathit e}^{+}}{{\mathit \nu}_{{e}}}$   $0.0215$ $\pm0.0016$  Γ30   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit e}^{+}}{{\mathit \nu}_{{e}}}$   ($2.91$ $\pm0.04$) $ \times 10^{-3}$  1.0 Γ31   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit \mu}^{+}}{{\mathit \nu}_{{\mu}}}$   ($2.67$ $\pm0.12$) $ \times 10^{-3}$  1.3 Γ37   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}$   $0.03947$ $\pm0.00030$  1.2 Γ38   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{0}}$   $0.01240$ $\pm0.00022$  Γ43   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$   $0.0280$ $\pm0.0018$  1.1 Γ58   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{0}}$   $0.144$ $\pm0.006$  2.2 Γ77   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}$2 ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$   $0.0822$ $\pm0.0014$  1.1 Γ88   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$   $0.052$ $\pm0.006$  Γ94   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}$2 ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$   $0.043$ $\pm0.004$  Γ103   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \eta}}$   $0.0188$ $\pm0.0005$  1.4 Γ117   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \eta}}$   ($5.09$ $\pm0.13$) $ \times 10^{-3}$  Γ118   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \omega}}$   $0.0111$ $\pm0.0006$  Γ119   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \eta}^{\,'}{(958)}}$   ($9.49$ $\pm0.32$) $ \times 10^{-3}$  Γ133   ${{\mathit D}^{0}}$ $\rightarrow$ 3 ${{\mathit K}_S^0}$   ($7.5$ $\pm0.7$) $ \times 10^{-4}$  1.4 Γ140   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$   ($1.454$ $\pm0.024$) $ \times 10^{-3}$  1.4 Γ141   ${{\mathit D}^{0}}$ $\rightarrow$ 2 ${{\mathit \pi}^{0}}$   ($8.26$ $\pm0.25$) $ \times 10^{-4}$  Γ142   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$   $0.0149$ $\pm0.0007$  2.3 Γ160   ${{\mathit D}^{0}}$ $\rightarrow$ 2 ${{\mathit \pi}^{+}}$2 ${{\mathit \pi}^{-}}$   ($7.56$ $\pm0.20$) $ \times 10^{-3}$  Γ189   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \eta}}{{\mathit \pi}^{0}}$   ($6.3$ $\pm0.6$) $ \times 10^{-4}$  1.1 Γ203   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \eta}^{\,'}{(958)}}{{\mathit \pi}^{0}}$   ($9.2$ $\pm1.0$) $ \times 10^{-4}$  Γ205   ${{\mathit D}^{0}}$ $\rightarrow$ 2 ${{\mathit \eta}}$   ($2.11$ $\pm0.19$) $ \times 10^{-3}$  2.2 Γ209   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \eta}}{{\mathit \eta}^{\,'}{(958)}}$   ($1.01$ $\pm0.19$) $ \times 10^{-3}$  Γ210   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$   ($4.08$ $\pm0.06$) $ \times 10^{-3}$  1.6 Γ211   ${{\mathit D}^{0}}$ $\rightarrow$ 2 ${{\mathit K}_S^0}$   ($1.41$ $\pm0.05$) $ \times 10^{-4}$  1.1 Γ212   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}$   ($3.3$ $\pm0.5$) $ \times 10^{-3}$  1.1 Γ223   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$   ($2.17$ $\pm0.34$) $ \times 10^{-3}$  1.1 Γ284   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \phi}}{{\mathit \gamma}}$   ($2.81$ $\pm0.19$) $ \times 10^{-5}$  Γ288   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$   ($1.50$ $\pm0.07$) $ \times 10^{-4}$  3.0 Γ295   ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$   ($3.06$ $\pm0.16$) $ \times 10^{-4}$  1.4 Γ355   ${{\mathit D}^{0}}$ $\rightarrow$ Unaccounted decay modes  $0.350$ $\pm0.013$  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, $\mathit x_{i}$ =$\Gamma _{i}$ $/$ $\Gamma _{total}$. The fit constrains the ${{\mathit x}_{{i}}}$ whose labels appear in this array to sum to one.

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  $0.15$ $\pm0.06$  Γ2   ${{\mathit D}^{0}}$ $\rightarrow$ 2-prongs  $0.71$ $\pm0.06$  Γ3   ${{\mathit D}^{0}}$ $\rightarrow$ 4-prongs  $0.146$ $\pm0.005$  Γ4   ${{\mathit D}^{0}}$ $\rightarrow$ 6-prongs  ($6.5$ $\pm1.3$) $ \times 10^{-4}$

 

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