Partonic structure of neutral pseudoscalars via two photon transition form factors

Abstract

The $\gamma {\gamma }^{\ast }\to {\eta }_{c,b}$ transition form factors are computed using a continuum approach to the two valence-body bound-state problem in relativistic quantum field theory, and thereby unified with equivalent calculations of electromagnetic pion elastic and transition form factors. The resulting $\gamma {\gamma }^{\ast }\to {\eta }_c$ form factor, $G_{{\eta }_c}(Q^2)$, is consistent with available data: significantly, at accessible momentum transfers, $Q^2{G}_{{\eta }_c}(Q^2)$ lies well below its conformal limit. These observations confirm that the leading-twist parton distribution amplitudes (PDAs) of heavy-heavy bound-states are compressed relative to the conformal limit. A clear understanding of the distribution of valence-quarks within mesons thus emerges; a picture which connects Goldstone modes, built from the lightest-quarks in Nature, with systems containing the heaviest valence-quarks that can now be studied experimentally, and highlights basic facts about manifestations of mass within the Standard Model.

Comments: 4 pages, 2 figures, 1 table