\begin{table}%t8 \caption{\label{tab:Systematics_xsecHE}High-energy biases on the W03 cross-section set.} %\centering \par \begin{tabular}{lccccc} \hline\hline\noalign{\smallskip} W03 & $K_0^{\rm best}\times 10^2$ & $\delta^{\rm best}$ & $V_{\rm c}^{\rm best}$ & $V_{\rm a}^{\rm best}$ & $\chi^2$/d.o.f. \\ HE bias $x$ & (kpc$^2~$Myr$^{-1}$) & & (km$\;$s$^{-1}$) & (km$\;$s$^{-1}$) & \\\hline & \multicolumn{5}{c}{} \vspace{-0.25cm}\\ 0:~$+0.05$ & 4.05 & 0.45 & \dots & \dots & 26.5 \vspace{0.05cm}\\ %chi2=767.463 (31) 0:~$+0.02$ & 4.06 & 0.42 & \dots & \dots & 27.7 \vspace{0.05cm}\\ %chi2=803.263 (31) {\it 0:~}${\it +0.00}$&{\it 4.08}&{\it 0.40}&{\it \dots}&{\it \dots}& {\it 28.8} \vspace{0.05cm}\\ %chi2= 834.898 (31) 0:~$-0.02$ & 4.09 & 0.38 & \dots & \dots & 30.1 \vspace{0.05cm}\\ %chi2=872.815 (31) 0:~$-0.05$ & 4.13 & 0.34 & \dots & \dots & 32.5 \vspace{0.25cm}\\ %chi2=941.471 (31) % I:~$+0.05$ & 0.61 & 0.89 & 13.7 & \dots & 12.1 \vspace{0.05cm}\\ %chi2=337.724 (31) I:~$+0.02$ & 0.49 & 0.91 & 13.6 & \dots & 11.4 \vspace{0.05cm}\\ %chi2=318.92 (31) {\it I:~}${\it +0.00}$&{\it 0.42}&{\it 0.93}&{\it 13.5} &{\it \dots}&{\it 11.2} \vspace{0.05cm}\\ %chi2=313.47 (31) I:~$-0.02$ & 0.35 & 0.95 & 13.4 & \dots & 11.2 \vspace{0.05cm}\\ %chi2=314.448 (31) I:~$-0.05$ & 0.27 & 0.98 & 13.1 & \dots & 11.8 \vspace{0.25cm}\\ %chi2=329.737 (31) % II:~$+0.05$ & 9.20 & 0.28 & \dots & 78.0 & 3.26 \vspace{0.05cm}\\ %chi2=91.356 (31) II:~$+0.02$ & 9.51 & 0.25 & \dots & 75.0 & 4.13 \vspace{0.05cm}\\ %chi2=115.587 (31) {\it II:~}${\it +0.00}$&{\it 9.76}&{\it 0.23}&{\it \dots}&{\it 73.1} &{\it 4.73} \vspace{0.05cm}\\ %chi2=132.499 (31) II:~$-0.02$ & 10.0 & 0.21 & \dots & 71.2 & 5.35 \vspace{0.05cm}\\ %chi2=149.669 (31) II:~$-0.05$ & 10.4 & 0.19 & \dots & 68.1 & 6.27 \vspace{0.25cm}\\ %chi2=175.271 (31) % III:~$+0.05$ & 0.98 & 0.74 & 19.0 & 50.0 & 1.01 \vspace{0.05cm}\\ %chi2=27.2606 (31) III:~$+0.02$ & 0.75 & 0.81 & 19.0 & 42.7 & 1.22 \vspace{0.05cm}\\ %chi2=32.8945 (31) {\it III:~}${\it +0.00}$ &{\it 0.48}&{\it 0.86}&{\it 18.8} &{\it 38.0} &{\it 1.47} \vspace{0.05cm}\\ %chi2=39.7023 (31) III:~$-0.02$ & 0.35 & 0.91 & 18.5 & 33.4 & 1.88 \vspace{0.05cm}\\ %chi2=50.786 (31) III:~$-0.05$ & 0.21 & 1.01 & 17.8 & 26.6 & 2.94 \vspace{0.10cm}\\ %chi2=79.2986 (31) % N.B.: 161 steps between 0.05 and 5000 GeV/n used \hline \end{tabular} \tablefoot{Models 0, I, II, and III for $L=4$~kpc. The various sets are obtained after multiplying the W03 set by $(E_{\rm k/n})^{x}$ above 1~GeV/n (and kept constant above 10 GeV/n), with $x=+0.05,~+0.02,~0,~-0.02,~-0.05$. (corresponding to bottom to top curves on the right-hand side of Fig.~\ref{fig:Xsec}).} \end{table}