Investigation of the $f_2(1270)$ and $a_2(1320)$ resonances in $\gamma^*(Q^2)\gamma$ collisions

The investigations of the $Q^2$ dependence of the cross sections for the formation of the $f_2(1270)$ and $a_2(1320)$ resonances in $\gamma^*(Q^2)\gamma$ collisions at the existing and future colliders with ultrahigh luminosity are discussed. An increase in $Q^2$ results in a change in the dominant helicity amplitude in the $\gamma^*(Q^2)\gamma\to f_2(1270)$ and $\gamma^*(Q^2)\gamma\to a_2(1320)$ reactions because of the QCD asymptotic behavior at large values of $Q^2$. The transition to the QCD asymptotic behavior in the $\gamma^*(Q^2)\gamma\to f_2(1270)$, $a_2(1320)$ amplitudes is shown to occur through the compensation of the contributions of the ground-state vector mesons $\rho$ and $\omega$ in the $Q^2$ channel by those of their radial excitations.