Abstract
Understanding how sea quarks behave inside a nucleon is one of the most important physics goals of the proposed Electron-Ion Collider in China (EicC), which is designed to have a 3.5 GeV polarized electron beam (80% polarization) colliding with a 20 GeV polarized proton beam (70% polarization) at instantaneous luminosity of 2 × 1033cm−2s−1. A specific topic at EicC is to understand the polarization of individual quarks inside a longitudinally polarized nucleon. The potential of various future EicC data, including the inclusive and semi-inclusive deep inelastic scattering data from both doubly polarized electron-proton and electron-3He collisions, to reduce the uncertainties of parton helicity distributions is explored at the next-to-leading order in QCD, using the Error PDF Updating Method Package (ePump) which is based on the Hessian profiling method. We show that the semi-inclusive data are well able to provide good separation between flavour distributions, and to constrain their uncertainties in the x > 0.005 region, especially when electron-3He collisions, acting as effective electron-neutron collisions, are taken into account. To enable this study, we have generated a Hessian representation of the DSSV14 set of PDF replicas, named DSSV14H PDFs.
Highlights
Understanding how sea quarks behave inside a nucleon is one of the most important physics goals of the proposed Electron-Ion Collider in China (EicC), which is designed to have a 3.5 GeV polarized electron beam (80% polarization) colliding with a 20 GeV polarized proton beam (70% polarization) at instantaneous luminosity of 2 × 1033cm−2s−1
We have presented a study that assesses the impact of future EicC data on the uncertainty bands of the DSSV14 helicity distribution functions and their moments
The DSSV14H PDF set was rotated into an equivalent Hessian set via the ePumpoptimization procedure, which is employed to explore the complementary role played by different data sets in reducing the PDF uncertainty in the PDF-updating procedure
Summary
In the Deep-Inelastic Scattering (DIS) process, e + p(n) → e + X, a nucleon such as a proton (neutron) is collided with an electron and gets destroyed into unobserved hadronic remnants X while keeping track of the original electron bouncing off the nucleon. In the inclusive DIS process, where only the scattered electrons are detected, the measured F1 and g1 structure functions can be expressed at leading order (LO) in the parton model, for Q being much smaller than the Z boson mass, as. G1h F1h is related to the corresponding semi-inclusive unpolarized and longitudinal spin structure functions, F1h and g1h, which can be expressed at LO in the parton model, for Q being much smaller than the Z boson mass, as. Dq→h(Q2, z) describes the fragmentation process from a quark q to a hadron h, z represents the momentum fraction of the final state hadron, whose four-momentum is denoted as Ph, with respect to the momentum of the produced quark The impact study on various helicity distributions at NLO taking advantage of the sets of SIDIS data at the EicC will be discussed in detail
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