Table 13.

Isospin breaking effects within ${\text{EBHLS}}_2$ using condition C to relate $ϵ$ and ${ϵ}^{\prime }$. See text for definitions and notations. The entry for $[m_{\mathit{dd}}^2-m_{\mathit{uu}}^2]$ is in ${\text{GeV}}^2$. The main fit properties are noted at the bottom end of the Table

${\text{EBHLS}}_2$ (BS)	Sol. F	Sol. $A_{+}$	Sol. $A_{-}$	Sol. $A_{+}$	Sol. $A_{-}$
	$ϵ={\kappa }_0$      and      ${ϵ}^{\prime }={\kappa }_0^{\prime }$			$ϵ$   and   ${ϵ}^{\prime }$ free
${10}^2\times [m_{\mathit{dd}}^2-m_{\mathit{uu}}^2]$	$2.65\pm 0.25$	$2.49\pm 0.15$	$3.01\pm 0.14$	$\times$	$\times$
${10}^2\times ϵ$	$3.67\pm 0.32$	$3.48\pm 0.20$	$4.16\pm 0.20$	$2.28\pm 0.30$	$3.62\pm 0.30$
${10}^2\times {ϵ}^{\prime }$	$0.93\pm 0.09$	$0.86\pm 0.05$	$1.05\pm 0.05$	$-1.20\pm 0.30$	$0.17\pm 0.27$
${10}^2\times \epsilon$	$4.92\pm 0.37$	$5.80\pm 0.31$	$1.24\pm 0.32$	$4.33\pm 0.34$	$0.95\pm 0.36$
${10}^2\times {\epsilon }^{\prime }$	$1.94\pm 0.26$	$2.66\pm 0.18$	$-1.30\pm 0.23$	$0.40\pm 0.28$	$-2.00\pm 0.32$
$f_u/f_{\pi }$	$1.070\pm 0.015$	$1.131\pm 0.009$	$1.020\pm 0.005$	$1.114\pm 0.009$	$1.020\pm 0.005$
$f_d/f_{\pi }$	$1.006\pm 0.006$	$1.014\pm 0.005$	$1.170\pm 0.012$	$1.012\pm 0.005$	$1.157\pm 0.012$
${10}^2\times z_{\mathit{Kroll}}$	$3.24\pm 0.95$	$5.86\pm 0.58$	$-7.49\pm 0.72$	$5.13\pm 0.58$	$-6.86\pm 0.69$
${\chi }^2/N_{\mathrm{pts}}$	1280/1366	1309/1366	1289/1366	1292/1366	1286/1366
Probability	85.9%	70.6%	82.5%	80.1%	83.5%