Changes

:<math>

:<math>

T_{(f)(i)} =  

T_{(f)(i)} =  

T_{(\mathbf{q}_\pi \mathbf{q}_\rho \mathbf{q}_\omega \mathbf{q}_{b1} \mathbf{p}_f \epsilon_f)

T_{(\mathbf{q}_\pi \mathbf{q}_\rho \mathbf{q}_\omega \mathbf{q}_{b_1} \mathbf{p}_f \epsilon_f)

(\mathbf{k}_\gamma \epsilon_\gamma \mathbf{p}_i \epsilon_i)}=

(\mathbf{k}_\gamma \epsilon_\gamma \mathbf{p}_i \epsilon_i)}=

</math>

</math>

:::<math>

:::<math>

=\sum_{R,\lambda_R,\epsilon_R;\lambda_{b_1},\lambda_\omega,\lambda_\rho}

=\sum_{R,\lambda_R,\epsilon_R;\lambda_{b_1},\lambda_\omega,\lambda_\rho}

\langle \mathbf{q}_\pi 0 0; \mathbf{q}_\rho \lambda_\rho 0; \mathbf{q}_\omega \lambda_\omega 0; \mathbf{q}_{b1}\lambda_{b1} 0

\langle \mathbf{q}_\pi 0 0; \mathbf{q}_\rho \lambda_\rho 0; \mathbf{q}_\omega \lambda_\omega 0; \mathbf{q}_{b_1}\lambda_{b_1} 0

| UV | \epsilon_\gamma; \lambda_R \epsilon_R; \Omega_0\rangle

| UV | \epsilon_\gamma; \lambda_R \epsilon_R; \Omega_0\rangle

</math>

</math>