Model-independent results for SU(3) violation in twist-3 light-cone distribution functions

Abstract

Using chiral symmetry we investigate the leading SU(3) violation in the complete set of quark twist-3 light-cone distribution functions of the pion, kaon, and eta, including the two-parton distributions ${\ensuremath{\phi}}_{M}^{p}$, ${\ensuremath{\phi}}_{M}^{\ensuremath{\sigma}}$, and the three-parton distribution ${\ensuremath{\phi}}_{M}^{3}$. It is shown that terms nonanalytic in the quark masses do not affect the shape, and only appear in the normalization constants. Predictive power is retained including the leading analytic ${m}_{q}$ operators. With the symmetry violating corrections we derive useful model-independent relations between ${\ensuremath{\phi}}_{\ensuremath{\pi}}^{p,\ensuremath{\sigma},3}$, ${\ensuremath{\phi}}_{\ensuremath{\eta}}^{p,\ensuremath{\sigma},3}$, ${\ensuremath{\phi}}_{{K}^{+},{K}^{0}}^{p,\ensuremath{\sigma},3}$, and ${\ensuremath{\phi}}_{{\overline{K}}^{0},{K}^{\ensuremath{-}}}^{p,\ensuremath{\sigma},3}$. We also comment on the calculations of the moments of these distributions using lattice QCD and light-cone sum rules.