Selected topics on TMD physics Jian Zhou Shan

Selected topics on TMD physics Jian Zhou Shan. Dong University Disclaimer: not an overview

Outline: ØGeneral motivations ØIFF with large invariant mass ØNuclear dependent BM effect ØSummary

Internal structure of nucleon/nucleus The internal structure of nucleon/nuclei in terms of quark and gluon degree of freedom. "Initial conditions" in ep/e. A/pp/p. A/AA collisions. According to QCD factorization theorem "initial conditions" are described by various parton distributions. The simpliest ones: unpolarized integrated parton distributions: f(x), G(x) 3

The extensions of PDFs 3 -dimensional imaging of nucleon: xp, kt: xp, bt: TMDs GPDs SIDIS DVCS… 5 -dimensional imaging of nucleon: Parton Wigner distributions, GTMDs. Measurable in High energy scatterings as well Nucleon spin structure: Spin dependent PDFs, spin dependent TMDs &GPDs Multiple parton re-scattering: High twist correlation functions

The study of TMDs: Motivations Ø New physics: QCD background Ø 3 -D imaging Ø Orbital motion Ø Spin-orbital correlations Ø Stimulate new progress of p. QCD theory Ultimately, shed new light on QCD confinement ?

Most physics cases in EIC white paper can be pursued at Eic. C; except very high Q^2, low x Golden measurements In the rest of talk, focus on something beyond EIC white paper Silver or bronze measurements

Proposal I: Dihadron fragmentation function with large invariant mass Based on: Phys. Rev. Lett. 106 (2011) 172001, ZJ & A. Metz

The final result:

Simliar to Ji, Qiu, Vogelsang, Yuan, 2006

Proposal II: Nuclear dependent Boer-Mulders effect Based on: Phys. Rev. D 88 (2013) no. 7, 074012 A. Schafer & ZJ

Operator definiation for quark TMDs in SIDIS Unpolarized quark TMD quark Boer-Mulders TMD Gauge link and leading nuclear effect Liang, Wang & ZJ 2008

Evaluating part of the gauge link in the MV model Color source outside a nucleon is zero

Ø Neglect the correlation between different nucleons Ø Describe the large nucleus as a homogenous system Relation between nucleon matrix and nucleus one with

Relations between nucleon TMDs and nucleus ones: Schaefer, ZJ 2013 In the semi-hard region, with

Phenomenological consequences Ø Process dependent KT broadening Ø KT dependence of the asymmetris in SIDIS and DY

Summary Ø IFF with large invariant mass Explore the common dynamical origin of the IFF and the Collins function Ø Nuclear dependent BM effect First experimental investigation on nuclear dependent T-odd distribution Thank you for your attention.