Abstract

We propose a new measurement of the heavy flavor hadron double spin asymmetry in deep-inelastic scattering at a future Electron-Ion Collider (EIC) to constrain the polarized gluon distribution function inside the proton. Statistical projection on $D^0$ meson double spin asymmetry is calculated with an EIC central detector using an all-silicon tracker and vertexing subsystem. A first impact study was done by interpreting pseudo-data at next-to-leading order in QCD. The sensitivity of the experimental observable in constraining gluon helicity distribution in a wide range of parton momentum fraction $x$ has been investigated considering different beam energy configurations. This measurement complements the inclusive spin-dependent structure function measurement and provides an opportunity to constrain the gluon helicity distribution in the moderate $x$ region.

Highlights

  • The spin structure of the nucleon has been of fundamental interest in modern hadronic physics ever since the EMC spin puzzle [1]

  • Where ΔΣðxÞ and ΔgðxÞ denote the nonperturbativepolarized parton distribution functions (PDFs) for the quark singlet and gluons, Lq and Lg are the orbital angular momenta of quarks and gluons, and x is the momentum fraction carried by the quarks or gluons

  • We have proposed a new measurement on longitudinal double spin asymmetries in the e⃗ þ p⃗ → e0 þ D0 þ X deep-inelastic scattering (DIS)

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Summary

INTRODUCTION

The spin structure of the nucleon has been of fundamental interest in modern hadronic physics ever since the EMC spin puzzle [1]. In this paper we provide a systematic study of charm quark production to constrain the polarized gluon distribution in a wide range of x at the future EIC. Compared to the inclusive DIS measurements, the polarized charm structure function provides direct access to the ΔgðxÞ from leading order. The next-to-leading order perturbative QCD formalism for heavy flavor production in polarized DIS has been derived [16] This will help to achieve high precision from theory side in constraining ΔgðxÞ from the experiments. An all-silicon tracker conceptual design has been applied and studied in various EIC simulations [17,18] It plays an essential role in our analysis of this paper, since it enables high precision measurement of heavy flavor hadrons through their hadronic decay channels

THEORETICAL CALCULATION
PROJECTIONS FOR THE EXPERIMENTAL OBSERVABLE
DðyÞ ð11Þ
GeV x 41 GeV
PROJECTIONS FOR THE PARTON HELICITY DISTRIBUTIONS
SUMMARY
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