Transverse Spin Physics with an Electron Ion Collider Oleg Eyser 4 th International Workshop on Transverse Polarisation Phenomena in Hard Processes Chia, Cagliari, 2014

The Path Forward  Nucleon Structure 2020  Collider Kinematics Semi-inclusive Deep Inelastic Scattering Deeply Virtual Compton Scattering  Possible Scenarios for an EIC eRHIC MEIC arxiv.org/abs/ Transverse Spin Physics at an EIC

How are sea quarks and gluons and their spin distributed in space and momentum inside the nucleon?  How are these quark and gluon distributions correlated with the over all nucleon properties, such as spin direction?  What is the role of the motion of sea quarks and gluons in building the nucleon spin? How does the nuclear environment affect the distribution of quarks and gluons and their interaction in nuclei?  How does the transverse spatial distribution of gluons compare to that in the nucleon?  How does matter respond to fast moving color charge passing through it? Is this response different for light and heavy quarks? Where does the saturation of gluon densities set in?  Is there a simple boundary that separates the region from the more dilute quark gluon matter? How do the distributions of quarks and gluons change as one crosses the boundary?  Does this saturation produce matter of universal properties in the nucleon and all nuclei viewed at nearly the speed of light? Open Questions Transverse Spin Physics at an EIC

1D 3D 5D The Partonic Picture of the Nucleon TMDs: confined partonic motion inside the nucleon GPDs: spatial imaging of quarks and gluons Transverse Spin Physics at an EIC

Deep Inelastic Scattering Electron Ion Collider Transverse Spin Physics at an EIC

Lepton Kinematics Transverse Spin Physics at an EIC

Semi-inclusive DIS Transverse Spin Physics at an EIC

SIDIS: Hadron Kinematics Cuts: Q 2 >1 GeV, Transverse Spin Physics at an EIC Try 3x3 matrix?

SIDIS: Hadron Coverage Plot with Logz() Transverse Spin Physics at an EIC

Particle Distribution Transverse Spin Physics at an EIC

Pseudodata Transverse Spin Physics at an EIC

Projection for Quark Sivers TMD QCD dynamics in the hard process  Evolution  Resummation  Matching of factorization - TMD vs. collinear Anselmino et al. J. Phys. Conf. Ser. 295, (2011) Transverse Spin Physics at an EIC

Gluon Sivers from Charm Transverse Spin Physics at an EIC N⇑N⇑ e

Transverse Momentum of Hadrons

Transverse Spin Physics at an EIC scattered parton

eRHIC Transverse Spin Physics at an EIC

A Model Detector for eRHIC ROMAN POTS LOW-Q 2 TAGGER Transverse Spin Physics at an EIC GEM TRACKER TPC SILICON VTX TRACKER

Particle Rates Transverse Spin Physics at an EIC

ePHENIX / eSTAR Transverse Spin Physics at an EIC arxiv.org/abs/

MEIC Warm large booster (3 to 25 GeV/c) Warm electron collider ring (3-12 GeV) Medium-energy IPs with horizontal beam crossing Injector 12 GeV CEBAF Pre-booster SRF linac Ion source Cold ion collider ring ( GeV) Three Figure-8 rings stacked vertically Transverse Spin Physics at an EIC arxiv:

MEIC Detector Transverse Spin Physics at an EIC

Summary Internal landscape of the nucleus QCD at extreme parton densities Spin and flavor structure of the nucleon Tomography of the nucleon Electroweak Transverse Spin Physics at an EIC An electron ion collider will combine:  Kinematic reach into the gluon dominated region  Precision from electromagnetic interaction  Accuracy from high luminosity  Polarized nucleons and light/heavy ions This will provide decisive measurements to answer many open questions in QCD. arxiv:

Spatial Imaging of Nucleons Fourier transform of at Exclusive processes to measure generalized parton distribution functions: Resolution scale Transverse Spin Physics at an EIC

DVCS Kinematics Transverse Spin Physics at an EIC Too crowded…?

Pseudodata Single Spin Asymmetries Transverse Spin Physics at an EIC

GPDs & Spatial Imaging Transverse Spin Physics at an EIC Only show the 2D part of the bottom

Gluon Distributions Requires high luminosities at different energies to map out the spatial distribution Transverse Spin Physics at an EIC