Table 1.

Input parameters used in this work. Note that $M_{\omega }$ becomes a free parameter for the VFF fits, to account for the uncertainty in energy calibration in each data set as well as the tension with determinations from $e^{+}{e}^{-}\to 3\pi$ and $e^{+}{e}^{-}\to {\pi }^0\gamma$. The quoted numbers for $M_{\omega }$, ${\Gamma }_{\omega }$ are VP subtracted, to ensure consistency with the bookkeeping as defined in the appendix. We also show the analog quantities for the $\varphi$, which enter the isoscalar part of the TFF (and are consistent with analogous determinations from $e^{+}{e}^{-}\to \overline{K}K$ [104]). The entries for $\Gamma (V\to e^{+}{e}^{-})\text{Br}(V\to 3\pi )$, $V=\omega ,\varphi$, from Ref. [103] are consistent with but more precise than the current PDG averages

Quantity	Value	Reference
$M_{{\eta }^{\prime }}$	$957.78(6)\text{MeV}$	[19]
${\Gamma }_{{\eta }^{\prime }}$	$0.188(6)\text{MeV}$	[19]
$F_{{\eta }^{\prime }\gamma \gamma }$	$0.3437(55){\text{GeV}}^{-1}$	[19]
$\text{Br}({\eta }^{\prime }\to {\pi }^{+}{\pi }^{-}\gamma )$	$29.5(4)\%$	[19]
$M_{\omega }$	$782.607(23)\text{MeV}$	[31]
${\Gamma }_{\omega }$	$8.69(4)\text{MeV}$	[31]
$\Gamma (\omega \to e^{+}{e}^{-})\text{Br}(\omega \to 3\pi )$	$0.5698(31)(82)\text{keV}$	[103]
$\text{Br}(\omega \to 3\pi )$	$89.2(7)\%$	[19]
$\text{Br}({\eta }^{\prime }\to \omega \gamma )$	$2.50(7)\%$	[19]
$M_{\varphi }$	$1019.197(20)\text{MeV}$	[31]
${\Gamma }_{\varphi }$	$4.22(5)\text{MeV}$	[31]
$\Gamma (\varphi \to e^{+}{e}^{-})\text{Br}(\varphi \to 3\pi )$	$0.1841(21)(80)\text{keV}$	[103]
$\text{Br}(\varphi \to 3\pi )$	$15.24(33)\%$	[19]
$\text{Br}(\varphi \to {\eta }^{\prime }\gamma )$	$6.22(21)\times {10}^{-5}$	[19]