The cos$\ddot{I}{•}_R$ asymmetry of dihadron production in double longitudinally polarized SIDIS

Abstract

We present a study on the double longitudinal-spin asymmetry of dihadron production in semi-inclusive deep inelastic scattering, in which the total transverse momentum of the final-state hadron pairs is integrated out. In particular, we investigate the origin of the $\cos \ddot{I}{•}_R$ azimuthal asymmetry for which we take into account the coupling of the helicity distribution $g_1$ and the twist-3 dihadron fragmentation function ${\tilde{D}}^{\sphericalangle }$. We calculate the $s$-wave and $p$-wave interference term ${\tilde{D}}_{ot}^{\sphericalangle }$ in a spectator model. We estimate the $\cos \ddot{I}{•}_R$ asymmetry at the kinematics of COMPASS which is collecting data on dihadron production in polarized deep inelastic scattering. The prediction of the same asymmetry at JLab 12GeV and a future EIC are also presented. Our study indicates that measuring the $\cos \ddot{I}{•}_R$ asymmetry in SIDIS may be a ideal way to probe the dihadron fragmentation function ${\tilde{D}}^{\sphericalangle }$.

10 pages, 6 figures. version accepted by PRD