16.5 QC3 fit g5 largeL

16.5.1 kcot 1 par kiso 2 par

\[ K_{df}^{iso}=\frac{P[0] M_0^2 }{E^2-M_r^2} \]

\[ \frac{k}{m} \cot \delta= \frac{1}{a_0m} \] The best fit:

\[\begin{gather} \chi^2/d.o.f.=1.26783 \\ P[0]=23.378\pm (13) \\ P[1]=9.14283\pm (0.00099) \\ P[2]=-0.150966\pm (0.0017) \\ \end{gather}\] {\[\begin{gather} C=\begin{pmatrix} 1& -0.431& 3.23\\ -0.431& 1& -0.000371\\ 3.23& -0.000371& 1\\ \end{pmatrix} \end{gather}\]}

16.5.2 kcot 1 par kiso 3 par

\[ K_{df}^{iso}=\frac{P[0] M_0^2 }{E^2-M_r^2}+P[2] \]

\[ \frac{k}{m} \cot \delta= \frac{1}{a_0m} \] The best fit:

\[\begin{gather} \chi^2/d.o.f.=0.848092 \\ P[0]=28.7073\pm (17) \\ P[1]=9.14181\pm (0.0019) \\ P[2]=2826.02\pm (8.9e+02) \\ P[3]=-0.155942\pm (0.0026) \\ \end{gather}\] {\[\begin{gather} C=\begin{pmatrix} 1& 6.46& -5.7& 5.99\\ 6.46& 1& 0.000255& -0.000316\\ -5.7& 0.000255& 1& -731\\ 5.99& -0.000316& -731& 1\\ \end{pmatrix} \end{gather}\]}

16.5.3 kcot 1 par kiso 2 par cov

\[ K_{df}^{iso}=\frac{P[0] M_0^2 }{E^2-M_r^2} \]

\[ \frac{k}{m} \cot \delta= \frac{1}{a_0m} \] The best fit:

\[\begin{gather} \chi^2/d.o.f.=1.51568 \\ P[0]=11.938\pm (13) \\ P[1]=9.1392\pm (0.0016) \\ P[2]=-0.149628\pm (0.0016) \\ \end{gather}\] {\[\begin{gather} C=\begin{pmatrix} 1& 3.63& -0.579\\ 3.63& 1& -0.00031\\ -0.579& -0.00031& 1\\ \end{pmatrix} \end{gather}\]}

16.5.4 kcot 1 par kiso 3 par cov

\[ K_{df}^{iso}=\frac{P[0] M_0^2 }{E^2-M_r^2}+P[2] \]

\[ \frac{k}{m} \cot \delta= \frac{1}{a_0m} \] The best fit:

\[\begin{gather} \chi^2/d.o.f.=0.959046 \\ P[0]=15.628\pm (17) \\ P[1]=9.14174\pm (0.0019) \\ P[2]=2970.02\pm (8.4e+02) \\ P[3]=-0.156144\pm (0.0025) \\ \end{gather}\] {\[\begin{gather} C=\begin{pmatrix} 1& 0.304& -0.327& 0.228\\ 0.304& 1& 0.301& -0.364\\ -0.327& 0.301& 1& -0.833\\ 0.228& -0.364& -0.833& 1\\ \end{pmatrix} \end{gather}\]}

16.5.5 kcot 1 par kiso 3 par cov 200 confs

\[ K_{df}^{iso}=\frac{P[0] M_0^2 }{E^2-M_r^2}+P[2] \]

\[ \frac{k}{m} \cot \delta= \frac{1}{a_0m} \] The best fit:

\[\begin{gather} \chi^2/d.o.f.=1.4992 \\ P[0]=37.621\pm (9) \\ P[1]=9.14252\pm (0.0013) \\ P[2]=2789.51\pm (5.4e+02) \\ P[3]=-0.157101\pm (0.001) \\ \end{gather}\] {\[\begin{gather} C=\begin{pmatrix} 1& 0.0718& 0.0448& 0.341\\ 0.0718& 1& 0.215& -0.126\\ 0.0448& 0.215& 1& -0.462\\ 0.341& -0.126& -0.462& 1\\ \end{pmatrix} \end{gather}\]}

16.5.6 kcot 1 par kiso 3 par cov 400 confs

\[ K_{df}^{iso}=\frac{P[0] M_0^2 }{E^2-M_r^2}+P[2] \]

\[ \frac{k}{m} \cot \delta= \frac{1}{a_0m} \] The best fit:

\[\begin{gather} \chi^2/d.o.f.=1.57689 \\ P[0]=21.1786\pm (6.3) \\ P[1]=9.143\pm (0.00079) \\ P[2]=2726.26\pm (3.4e+02) \\ P[3]=-0.158969\pm (0.00065) \\ \end{gather}\] {\[\begin{gather} C=\begin{pmatrix} 1& 0.249& 0.396& -0.0428\\ 0.249& 1& 0.226& -0.261\\ 0.396& 0.226& 1& -0.368\\ -0.0428& -0.261& -0.368& 1\\ \end{pmatrix} \end{gather}\]}

16.5.7 no resonace antsaz g5 kcot1par

\[ F_{3}^{iso}(E,\vec{P},L)=-1/{ K}_{df}^{iso}(E^*) \]

\[ K_{df}^{iso}= P[0] \]

\[ F_{3}^{iso}(E,\vec{P}=0,L)=\frac{1}{L}\left[ \frac{\tilde F^s}{3}- \tilde F^s\frac{1}{1/(2\omega K_2^s)+\tilde F^s+\tilde G^s}\tilde F^s\right]_{kp}\\ \left[\frac{1}{2\omega K_2^s}\right]_{kp}=\delta_{kp}\left[(k\cot\delta )+|q^*_{2,k}(1-H(\vec{k}))|\right]\frac{1}{32\pi\omega_k E_{2,k}^*} \] and \[ \frac{k}{m} \cot \delta= \frac{1}{a_0m}\\ P[2]=am\\ \] \[ E_{\phi_1}= p[1] \]

The best fit:

\[\begin{gather} \chi^2/d.o.f.=14.2382 \\ P[0]=3061\pm (1.4e+03) \\ P[1]=9.14457\pm (0.0021) \\ P[2]=-0.155437\pm (0.0033) \\ \end{gather}\] {\[\begin{gather} C=\begin{pmatrix} 1& -1.3e+03& -660\\ -1.3e+03& 1& 0.000944\\ -660& 0.000944& 1\\ \end{pmatrix} \end{gather}\]}