Single Transverse-Spin Asymmetry in Open Charm Production in SIDIS

TL;DR

This paper derives a comprehensive formula for the single transverse-spin asymmetry in open charm production in SIDIS, highlighting the role of gluonic correlations and providing numerical predictions for future collider experiments.

Contribution

It presents the first complete leading-order QCD formula for SSA in D-meson production in SIDIS, emphasizing three-gluon correlations and azimuthal angle dependence.

Findings

Derived the first complete SSA formula for D-meson production in SIDIS.

Identified five independent azimuthal structures in the SSA.

Provided numerical estimates relevant to future Electron Ion Collider experiments.

Abstract

We discuss the single transverse-spin asymmetry (SSA) to be observed in the $D$-meson production with large transverse-momentum in semi-inclusive DIS (SIDIS), $e p^\uparrow \rightarrow e D X$. This contribution is embodied as a twist-3 mechanism in the collinear factorization, which is induced by purely gluonic correlation inside the transversely-polarized nucleon, in particular, by the three-gluon correlation effects. We derive the first complete formula for the corresponding SSA in the leading-order QCD, revealing the five independent structures with respect to the dependence on the azimuthal angle for the produced $D$-meson. Our result obeys universal structure behind the SSAs in a variety of hard processes. We present the numerical calculations of our SSA formula for the $D$-meson production at the kinematics relevant to a future Electron Ion Collider.