QCD Factorization and Transverse Single-Spin Asymmetry in ep collisions
|
|
- Cynthia Joseph
- 6 years ago
- Views:
Transcription
1 QCD Factorization and Transverse Single-Spin Asymmetry in ep collisions Jianwei Qiu Brookhaven National Laboratory Theory seminar at Jefferson Lab, November 7, 2011 Jefferson Lab, Newport News, VA Based on work with many people
2 Outline of my talk q Transverse single-spin asymmetry in ep collisions Ideal observable to go beyond the leading power collinear factorization q Role of fundamental symmetries q QCD TMD factorization approach q QCD collinear factorization approach q Connection between these two approaches q Predictive power of QCD factorization approach q Summary
3 Electron-proton collisions q Cross sections: = ² Every parton can participate the hard collision! ² Cross section depends on matrix elements of all possible fields q Approximation single large momentum transfer: Q >> 1/fm σ(q) =σ LP (Q)+ Q s Q σnlp (Q)+ Q2 s Q 2 σnnlp (Q)+... σ LP (Q) q Leading power QCD factorization - approximation: σ(q) σ LP (Q) ˆσ(Q) p, s φ (k) φ(k) p, s +... q How good the approximation is? Universal parton distributions Hadron s partonic structure!
4 q From HERA: Inclusive DIS cross section
5 Inclusive single jet hadronic cross section q To Tevatron: With one set universal PDFs QCD is successful in last 30 years we now believe it
6 Fact and questions q FACT: ² LP QCD collinear factorization/calculations have been very successful in interpreting HEP scattering data if Q > 2 GeV ² QCD should be correct for the asymptotic regime: r < 1/10 fm! q QUESTIONS: < 1/10 fm ² How much have we learned about hadron s partonic structure? Collinear PDFs, Helicity PDFs, But, Not enough for the structure, ² How to test/explore QCD beyond the leading power formalism? Parton s transverse motion, and multiparton correlation beyond 1/10 fm?
7 Go beyond the LP collinear factorization q Recall: = ² LP collinear term dominates the single scale cross section q Need additional parameter the LP term is not sensitive to: ² Nuclear A-dependence: result of multiple scattering and multiparton correlations R A (Q) σ A (Q)/σ N (Q), qt 2 A qt 2 A qt 2 N,... ² Transverse-spin: power of fundamental symmetries cancels the LP collinear term A N (Q, s T ) σ(q, s T ) σ(q, s T ), A N (Q, q T,s T ) σ(q, q T,s T ) σ(q, q T, s T ),...
8 Transverse SSA in collinear parton model q SSA corresponds to a naively T-odd triple product: A N =[σ(p, s T ) σ(p, s T )]/[σ(p, s T )+σ(p, s T )] A N i s p (p ) i µναβ p µ s ν α p β Novanish A N requires a phase, enough vectors to fix a scattering plan, and a spin flip at the partonic scattering q Leading power in QCD: 2 Kane, Pumplin, Repko, PRL, 1978 σ AB (p T, s) = α s m q +... p T Need parton s transverse motion to generate the asymmetry!
9 Power of fundamental symmetries q Factorized cross sections asymmetries: A σ h(p) (Q, s) σ h(p) (Q, s) p, s O(ψ q,a µ ) p, s p, s O(ψ q,a µ ) p, s q Parity and Time-reversal invariance: q IF: or Operators lead to the + sign Operators lead to the - sign q Example: spin-averaged cross sections spin asymmetries
10 A N = 0 for inclusive DIS q DIS cross section: σ(q, s T ) L µν W µν (Q, s T ) q Leptionic tensor is symmetric: q Hadronic tensor: L µν = L νµ q Polarized cross section: q P and T invariance: W µν (Q, s T ) P, s T j µ(0)j ν (y) P, s T σ(q, s T ) L µν [W µν (Q, s T ) W µν (Q, s T )] P, s T j µ(0)j ν (y) P, s T = P, s T j ν(0)j µ (y) P, s T A N (Q, s T ) DIS =0
11 Advantage of SIDIS q Dominated by events with two different scales: (l, s e )+A(P A,s) (l )+h(p h )+X ² A large momentum transfer: Localized probe, suppress contribution of complicate matrix elements ² A small momentum scale: Sensitive to parton s motion inside a hadron TMD distributions ² Change from a two-scale problem to an one-scale problem ² Separation of various TMDs and spin states Q = (l l ) 2 p ht 1/fm q Power of varying p ht 1/fm p ht Q 1/fm Transition from TMD factorization to Collinear factorization q Two natural scattering planes:
12 TMD factorization SIDIS L µν W µν (Q, p BT,s T ) Collins book σ 0 φ(x, µ) D(z,µ)δ 2 (p BT ) q TMD parton distribution: F f/p (x, k 1T,S,µ,ζ F )=Tr color Tr Dirac γ + 2 q TMD fragmentation function: k 1 2π Gauge links D h/f (z,k 2T,µ,ζ D )= Tr color N c Tr Dirac 4 q TMDs are more fundamental if we can measure them: γ + z k 2 2π Carry more information on hadron s partonic structure Phase for SSA
13 q Gauge link QCD phase: Color flow gauge links + + Summation of leading power gluon field contribution produces the gauge link: Gauge invariant PDFs: Collinear PDFs: Localized operator with size ~ 1/xp ~ 1/Q q Universality of PDFs: localized color flow Gauge link should be process independent!
14 q Quark TMD distributions: TMD parton distributions ˆk µ = xp µ + k2 T 2xp + nµ + k µ T dk 2 dk + δ(x k + /P + ) Total 8 TMD quark distributions q Gluon TMD distributions, Production of quarkonium, two-photon,
15 Most notable TMDs q Sivers function transverse polarized hadron: Sivers function q Boer-Mulder function transverse polarized quark: Boer-Mulder function Affect angular distribution of Drell-Yan lepton pair production
16 Most notable TMDs II q Collins function FF of a transversely polarized parton: q Fragmentation function to a polarized hadron: Collins function Unpolarized parton fragments into a polarized hadron -
17 TMDs and spin asymmetries q Sivers effect Sivers function: Hadron spin influences parton s transverse motion q Collin s effect Collin s function: Transversity Parton s transverse spin affects its hadronization q TMD factorization is relevant for two-scale problems in QCD: Q 1 Q 2 Λ QCD Separation of different effects?
18 SIDIS is ideal for studying TMDs q SIDIS has the natural kinematics for TMD factorization: (s e )+p(s p ) + h(s h )+X Natural event structure: high Q and low p T jet (or hadron) q Separation of various TMD contribution by angular projection: Lepton plane vs. hadron plane l l 1 N N AUT ( ϕh, ϕs ) = P N + N Collins Sivers = A sin( φ + φ ) + A sin( φ φ ) UT Pretzelosity + A sin(3 φ φ ) UT h h S S UT h S Collins A sin( φ + φ ) h H A A UT h S Sivers UT sin( φ φ ) h S UT 1 1 1T sin(3 φ φ ) h H Pretzelosity UT h S UT 1T 1 UT f D 1
19 Our knowledge of TMDs q Sivers function from low energy SIDIS: EIC can do much better job in extracting TMDs q NO TMD factorization for hadron production in p+p collisions! Collins and Qiu, 2007, Vogelsang and Yuan, 2007, Mulders and Rogers, 2010,
20 Critical test of TMD factorization q TMD distributions with non-local gauge links: SIDIS: DY: q Parity + Time-reversal invariance: The sign change is a critical test of TMD factorization approach
21 Another critical test of TMD factorization q Predictive power of QCD factorization: ² Infrared safety of short-distance hard parts ² Universality of the long-distance matrix elements ² QCD evolution or scale dependence of the matrix elements q QCD evolution: If there is a factorization/invariance, there is an evolution equation q Collinear factorization DGLAP evolution: σ phy (Q, Λ QCD ) f ˆσ f (Q, µ) φ f (µ, Λ QCD ) d dµ σ phy(q, Λ QCD )=0 Scaling violation of nonperturbative functions Evolution kernels are perturbative a test of QCD
22 Evolution equations for TMDs q Collins-Soper equation: b-space quark TMD with γ + Boer, 2001, 2009, Idilbi, et al, 2004 Aybat, Rogers, 2010 Kang, Xiao, Yuan, 2011 Aybat, Collins, Qiu, Rogers, 2011 q RG equations: q Evolution equations for Sivers function: CS: RGs:
23 Scale dependence of Sivers function q Kernel is not perturbative for all b: Aybat, Collins, Qiu, Rogers, 2011 CSS prescription: (not unique) q Q 2 -dependence of Sivers function: Evolved Sivers function q Small-b perturbative contribution match to twist-3: Kang, Xiao, Yuan, 2011
24 Gaussian ansatz for input distributions q Up quark Sivers function: Aybat, Collins, Qiu, Rogers, 2011 Very significant growth in the width of transverse momentum
25 q TMD factorization to collinear factorization: A N (Q 2,p T ) p T Q TMD Q s Collinear Factorization q QCD collinear factorization: From low p T to high p T p T Q p T Ji,Qiu,Vogelsang,Yuan, Koike, Vogelsang, Yuan Two factorization are consistent in the overlap region where Λ QCD p T Q Efremov, Teryaev, 82; Qiu, Sterman, 91, etc. 2 p, s k σ(q, s) t 1/Q = σ LP (Q, s)+ Q s Q σnlp (Q, s)+... σ(s T ) T (3) (x, x) ˆσ T D(z)+δq(x) ˆσ D D (3) (z,z)+... T (3) (x, x) D (3) (z,z) Qiu, Sterman, 1991, Kang, Yuan, Zhou, 2010
26 Twist-3 correlation functions q Twist-2 parton distributions: Kang, Qiu, PRD, 2009 ² Unpolarized PDFs: ² Polarized PDFs: q Two-sets Twist-3 correlation functions: Role of color magnetic force!
27 Evolution equations and kernels q Evolution equation is a consequence of factorization: Factorization: DGLAP for f 2 : Evolution for f 3 : q Evolution kernel is process independent: ² Calculate directly from the variation of process independent twist-3 distributions ² Extract from the scale dependence of the NLO hard part of any physical process Kang, Qiu, 2009 Yuan, Zhou, 2009 Vogelsang, Yuan, 2009 ² Renormalization of the twist-3 operators Braun et al, 2009
28 Variation of twist-3 correlation functions q Closed set of evolution equations (spin-dependent): Kang, Qiu, 2009 Plus two more equations for: and
29 Scale dependence ² Follow DGLAP at large x ² Large deviation at low x (stronger correlation)
30 A sign mismatch q Sivers function and twist-3 correlation: Kang, Qiu, Vogelsang, Yuan, UVCT q direct and indirect twist-3 correlation functions: Calculate T q,f (x,x) by using the measured Sivers functions indirect direct direct indirect
31 Possible interpretations q A node in k T -distribution: Kang, Qiu, Vogelsang, Yuan, 2011 ² Like the DSSV s G(x) ² HERMES vs COMPASS ² Physics behind the sign change? EIC can measure TMDs for a wide range of k T COMPASS HERMES q Large twist-3 fragmentation contribution in RHIC data: If Sivers-type initial-state effect is much smaller than fragmentation effect and two effects have an opposite sign Can be tested by A N of single jet or direct photon at RHIC q A node in x-dependence of Sivers or twist-3 distributions Physics behind the node if there is any Boer,
32 Propose new observables for ep collisions q Process: e()+h(p) jet(p j )(or π,...)+x Kang, Metz, Qiu, Zhou, 2011 Lepton-hadron scattering without measuring the scattered lepton Single hard scale: p jt in lepton-hadron frame q Complement to SIDIS: e()+h(p) e ( )+jet(p j )(or π,...)+x Two scales: Q, p jt in virtual-photon-hadron frame q Key difference in theory treatment: Collinear factorization for TMD factorization for e()+h(p) jet(p j )(or π,...)+x e()+h(p) e ( )+jet(p j )(or π,...)+x Test the consistency between TMD and Twist-3 to SSA in the same experimental setting Jlab, Compass, Future EIC,
33 Analytical formulae q Factorization is valid: Same as hadron-hadron collision to jet + X Kang, Metz, Qiu, Zhou, 2011 q Leading order results: a = l, γ, q, q, g b = q, q, g λ l, λ p : S T : Lepton, hadron helicity, respectively Hadron s transverse spin vector
34 Numerical results q Asymmetries: q Double spin asymmetries very small: s = 50 GeV s = 100 GeV Wandzura-Wilczek approximation: A LT 0.001
35 Good probe of Sivers function q Independent check of the sign mismatch : Red line: T F (x, µ) extracted from fitting SSA in hadronic collisions Blue line: Sivers function Excellent test for the mechanism of SSA possibly at Jlab, surely at future EIC
36 More on future directions q RHIC spin, JLab at 12 GeV, possibly at Compass, q Future EIC: a dedicated QCD machine for the visible matter Yellow book on EIC physics from INT workshop is available: arxiv: submit/ [nucl-th] q A white paper on EIC physics: a writing group appointed by BNL and Jlab is working hard q Physics opportunities at EIC: ² Inclusive DIS Spin, F L, ² SIDIS TMDs, spin-orbital correlations, ² One jet or particle inclusive multiparton quantum correlation, ² GPDs parton spatial distributions ²
37 Summary q QCD factorization/calculation have been very successful in interpreting HEP scattering data q What about the hadron structure? Not much! Thank you! < 1/10 fm q RHIC spin, Jlab12, a future EIC with a polarized hadron beams opens up many new ways to test QCD and to study hadron structure: TMDs, GPDs, q The challenge for theorists: to indentify new and calculable observables that carry rich information on hadron s partonic structure to make measureable predictions
38 Backup slices
39 EIC Kinematics q DIS kinematics: k q EIC (erhic ELIC) basic parameters: Q 2 = q 2 = x B ys x B = Q2 2p q y = p q p k S =(p + k) 2 ² ² ² ² ² ² ² E e = 10 GeV (5-30 GeV available) E p = 250 GeV ( GeV available) S = 100 GeV ( GeV available) localized probe: Q 2 1 GeV x min 10 4 Luminosity ~ 100 x HERA Polarization, heavy ion beam,
40 Interpretation of twist-3 correlation functions q Measurement of direct QCD quantum interference: T (3) (x, x, S ) Qiu, Sterman, 1991, Interference between a single active parton state and an active two-parton composite state q Expectation value of QCD operators: P, s ψ(0)γ + ψ(y ) P, s P, s ψ(0)γ + γ 5 ψ(y ) P, s P, s ψ(0)γ + P, s ψ(0)γ + αβ s T α ig αβ s T α dy ψ(y 2 F + ) P, s β (y 2 ) dy 2 F + β (y 2 ) ψ(y ) P, s How to interpret the expectation value of the operators in RED?
41 A simple example q The operator in Red a classical Abelian case: q Change of transverse momentum: q In the c.m. frame: q The total change: Net quark transverse momentum imbalance caused by color Lorentz force inside a transversely polarized proton
Scale dependence of Twist-3 correlation functions
Scale dependence of Twist-3 correlation functions Jianwei Qiu Brookhaven National Laboratory Based on work with Z. Kang QCD Evolution Workshop: from collinear to non collinear case Thomas Jefferson National
More informationSpin physics at Electron-Ion Collider
Spin physics at Electron-Ion Collider Jianwei Qiu Brookhaven National Laboratory Workshop on The Science Case for an EIC November 16-19, 2010; INT, University of Washington, Seattle, WA Outline of my talk
More informationFactorization, Evolution and Soft factors
Factorization, Evolution and Soft factors Jianwei Qiu Brookhaven National Laboratory INT Workshop: Perturbative and nonperturbative aspects of QCD at collider energies University of Washington, Seattle,
More informationProbing nucleon structure by using a polarized proton beam
Workshop on Hadron Physics in China and Opportunities with 12 GeV Jlab July 31 August 1, 2009 Physics Department, Lanzhou University, Lanzhou, China Probing nucleon structure by using a polarized proton
More informationHigh Energy Transverse Single-Spin Asymmetry Past, Present and Future
High Energy Transverse Single-Spin Asymmetry Past, Present and Future Jianwei Qiu Brookhaven National Laboratory Stony Brook University Transverse single-spin asymmetry (TSSA) q Consistently observed for
More informationQCD Collinear Factorization for Single Transverse Spin Asymmetries
INT workshop on 3D parton structure of nucleon encoded in GPD s and TMD s September 14 18, 2009 QCD Collinear Factorization for Single Transverse Spin Asymmetries Iowa State University Based on work with
More informationTMD Theory and TMD Topical Collaboration
3D Nucleon Tomography Workshop Modeling and Extracting Methodology March 15-17, 2017 Jefferson Lab, Newport News, VA TMD Theory and TMD Topical Collaboration Jianwei Qiu Theory Center, Jefferson Lab 3D
More informationGluonic Spin Orbit Correlations
Gluonic Spin Orbit Correlations Marc Schlegel University of Tuebingen in collaboration with W. Vogelsang, J.-W. Qiu; D. Boer, C. Pisano, W. den Dunnen Orbital Angular Momentum in QCD INT, Seattle, Feb.
More informationToward the QCD Theory for SSA
Toward the QCD Theory for SSA Feng Yuan Lawrence Berkeley National Laboratory RBRC, Brookhaven National Laboratory 5/6/2009 1 Outline Introduction Great progress has been made recently Transverse momentum
More informationNLO weighted Sivers asymmetry in SIDIS and Drell-Yan: three-gluon correlator
NLO weighted Sivers asymmetry in SIDIS and Drell-Yan: three-gluon correlator Lingyun Dai Indiana University Based on the work done with Kang, Prokudin, Vitev arxiv:1409.5851, and in preparation 1 2 Outlines
More informationTransverse Momentum Dependent Parton Distributions
Transverse Momentum Dependent Parton Distributions Feng Yuan Lawrence Berkeley National Laboratory 8/14/2012 1 Feynman Parton: one-dimension Inclusive cross sections probe the momentum (longitudinal) distributions
More informationTransverse Spin Effects and k T -dependent Functions
Transverse Spin Effects and k T -dependent Functions Daniël Boer Free University, Amsterdam Outline Left-right single spin asymmetries Azimuthal spin asymmetries; Sivers and Collins effects Transversity
More informationIntroduction to Quantum Chromodynamics (QCD)
Introduction to Quantum Chromodynamics (QCD) Jianwei Qiu Theory Center, Jefferson Lab May 29 June 15, 2018 Lecture Four Hadron properties the mass? q How does QCD generate the nucleon mass? The vast majority
More informationDouble-Longitudinal Spin Asymmetry in Single- Inclusive Lepton Scattering
QCD Evolution 2017, JLab, May 22-26, 2017 Double-Longitudinal Spin Asymmetry in Single- Inclusive Lepton Scattering Marc Schlegel Institute for Theoretical Physics University of Tübingen in collaboration
More informationAsmita Mukherjee Indian Institute of Technology Bombay, Mumbai, India
. p.1/26 Sivers Asymmetry in e + p e + J/ψ + X Asmita Mukherjee Indian Institute of Technology Bombay, Mumbai, India Single spin asymmetry Model for J/ψ production Formalism for calculating the asymmetry
More informationTMDs at Electron Ion Collider Alexei Prokudin
TMDs at Electron Ion Collider Alexei Prokudin 2 3 Why Electron Ion Collider? Eur. Phys. J. A (2016) 52: 268 DOI 10.1140/epja/i2016-16268-9 THE EUROPEAN PHYSICAL JOURNAL A Review Electron-Ion Collider:
More informationTransverse SSA Measured at RHIC
May 21-24, 2007 Jefferson Lab Transverse SSA Measured at RHIC Jan Balewski, IUCF Exclusive Reactions Where does the proton s spin come from? p is made of 2 u and 1d quark S = ½ = Σ S q u u Explains magnetic
More informationUpdate on the Hadron Structure Explored at Current and Future Facilities
3D Nucleon Tomography Workshop Modeling and Extracting Methodology Update on the Hadron Structure Explored at Current and Future Facilities Jianwei Qiu September 25-29, 2017 Salamanca, Spin Atomic Structure
More informationZhongbo Kang. QCD evolution and resummation for transverse momentum distribution. Theoretical Division, Group T-2 Los Alamos National Laboratory
QCD evolution and resummation for transverse momentum distribution Zhongbo Kang Theoretical Division, Group T-2 Los Alamos National Laboratory QCD Evolution Worshop Jefferson Lab, Newport News, VA Outline:
More informationTMDs and the Drell-Yan process
TMDs and the Drell-Yan process Marc Schlegel Theory Center Jefferson Lab Jefferson Lab upgrade at 12 GeV, INT Kinematics (less intuitive than DIS): The Drell Yan process d¾ d 4 l d 4 l 0 = d¾ d 4 q d 4
More informationContributions to our Understanding of TMDs from Polarized Proton Collisions at STAR
Contributions to our Understanding of TMDs from Polarized Proton Collisions at STAR Stephen Trentalange University of California at Los Angeles, for the STAR Collaboration QCD-N16 Bilbao, Spain July 15,
More informationGluon TMDs and Heavy Quark Production at an EIC
Gluon TMDs and Heavy Quark Production at an EIC Cristian Pisano INT-7-3 Workshop Hadron imaging at Jefferson Lab and at a future EIC September 25-29 27 Seattle (USA) Quark TMDs Angeles-Martinez et al.,
More informationZhongbo Kang. TMDs: Mechanism/universality with ep and pp collisions. Theoretical Division Los Alamos National Laboratory
TMDs: Mechanism/universality with ep and pp collisions Zhongbo Kang Theoretical Division Los Alamos National Laboratory QCD Frontier 213 Thomas Jefferson National Accelerator Facility Newport News, VA,
More informationCentral Questions in Nucleon Structure
Central Questions in Nucleon Structure Werner Vogelsang BNL Nuclear Theory QCD and Hadron Physics Town Meeting, 01/13/2007 Exploring the nucleon: Of fundamental importance in science Know what we are made
More informationJAMboree. Theory Center Jamboree Jefferson Lab, Dec 13, Pedro Jimenez Delgado
JAMboree Theory Center Jamboree Jefferson Lab, Dec 13, 2013 Introduction Hadrons composed of quarks and gluons scattering off partons Parton distribution functions Plausible at high energies (from GeV):
More informationQuark/gluon orbital motion and nucleon spin. Alexei Prokudin. JLab December 8, Alexei Prokudin,
Quark/gluon orbital motion and nucleon spin Alexei Prokudin JLab December 8, 20 EIC Golden Topic # 2 talk Bob McKeown @ INT workshop Map the spin and spatial quark-gluon structure of nucleons Image the
More informationTwo Photon Exchange in Inclusive and Semi Inclusive DIS
Two Photon Exchange in Inclusive and Semi Inclusive DIS Marc Schlegel Theory Center, Jefferson Lab In collaboration with Christian Weiss, Andrei Afanasev, Andreas Metz Two Photon Exchange in elastic scattering
More informationStudies on transverse spin properties of nucleons at PHENIX
Studies on transverse spin properties of nucleons at PHENIX Pacific Spin 2015 Academia Sinica in Taipei, Taiwan October 8, 2015 Yuji Goto (RIKEN/RBRC) 3D structure of the nucleon Conclusive understanding
More informationDrell-Yan experiments at Fermilab/RHIC/J-PARC. QCD Frontier 2013 Jefferson Lab October 21, 2013 Yuji Goto (RIKEN)
Drell-Yan experiments at Fermilab/RHIC/J-PARC QCD Frontier 2013 Jefferson Lab October 21, 2013 Yuji Goto (RIKEN) Outline Fermilab Drell-Yan experiments Unpolarized program Flavor asymmetry of sea-quark
More informationCOMPASS Measurements of Asymmetry Amplitudes in the Drell-Yan Process Observed from Scattering Pions off a Transversely Polarized Proton Target
COMPASS Measurements of Asymmetry Amplitudes in the Drell-Yan Process Observed from Scattering Pions off a Transversely Polarized Proton Target University of Illinois E-mail: rsheitz2@illinois.edu On behalf
More informationHall A/C collaboration Meeting June Xuefei Yan Duke University E Collaboration Hall A collaboration
Hall A SIDIS Hall A/C collaboration Meeting June 24 2016 Xuefei Yan Duke University E06-010 Collaboration Hall A collaboration The Incomplete Nucleon: Spin Puzzle [X. Ji, 1997] DIS DΣ 0.30 RHIC + DIS Dg
More informationNucleon Spin Structure: Overview
Nucleon Spin Structure: Overview Jen-Chieh Peng University of Illinois at Urbana-Champaign Workshop on Spin Structure of Nucleons and Nuclei from Low to High Energy Scales EINN2015, Paphos, Cyprus, Nov.
More informationFundamental Open Questions in Spin Physics
Fundamental Open Questions in Spin Physics p. 1/55 Fundamental Open Questions in Spin Physics Jacques Soffer Physics Department, Temple University, Philadelphia,PA, USA Fundamental Open Questions in Spin
More informationPossible relations between GPDs and TMDs
Possible relations between GPDs and TMDs Marc Schlegel, Theory Center, Jefferson Lab Hall C summer meeting: Physics opportunities in Hall C at 12 GeV Generalized Parton Distributions Exclusive processes
More informationRecent Development in Proton Spin Physics
Nuclear Science Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720,USA RIKEN BNL Research Center, Building 510A, Brookhaven National Laboratory, Upton, NY 11973, USA E-mail: fyuan@lbl.gov
More informationMeasuring the gluon Sivers function at a future Electron-Ion Collider
Measuring the gluon Sivers function at a future Electron-Ion Collider Speaker: Liang Zheng Central China Normal University In collaboration with: E.C. Aschenauer (BNL) J.H.Lee (BNL) Bo-wen Xiao (CCNU)
More informationMeasurements with Polarized Hadrons
Aug 15, 003 Lepton-Photon 003 Measurements with Polarized Hadrons T.-A. Shibata Tokyo Institute of Technology Contents: Introduction: Spin of Proton Polarized Deep Inelastic Lepton-Nucleon Scattering 1.
More informationDistribution Functions
Distribution Functions Also other distribution functions f 1 = g = 1L g 1T = h 1T = f 1T = h 1 = h 1L = h 1T = Full list of PDF at Twist-2 (Mulders et al) Dirk Ryckbosch, Feldberg, Oct.2006 p.1/33 Factorization
More informationContribution of the twist-3 fragmentation function to single transverse-spin asymmetry in SIDIS
Contribution of the twist-3 fragmentation function to single transverse-spin asymmetry in SIDIS Graduate School of Science and Technology, Niigata University, Ikarashi -8050, Niigata 950-8, Japan Department
More informationStudying Evolution with Jets at STAR. Renee Fatemi University of Kentucky May 28 th, 2015
Studying Evolution with Jets at STAR Renee Fatemi University of Kentucky May 28 th, 2015 Relativistic Heavy Ion Collider Absolute Polarimeter (H jet) RHIC pc Polarimeters Siberian Snakes PHOBOS PHENIX
More informationElectron-Ion Collider Taking us to the next QCD Frontier
QCD Evolution 2014 Workshop at Santa Fe, NM (May 12 16, 2014) Electron-Ion Collider Taking us to the next QCD Frontier Jianwei Qiu Brookhaven National Laboratory Acknowledgement: Much of the physics presented
More informationThree-Quark Light-Cone Wave function of the Nucleon. Spin-Spin and Spin-Orbit Correlations in T-even TMDs
TMDs and Azimuthal Spin Asymmetries in Light-Cone Quark Models Barbara Pasquini (Uni Pavia & INFN Pavia, Italy) in collaboration with: S. Boffi (Uni Pavia & INFN Pavia) A.V. Efremov (JINR, Dubna) P. Schweitzer
More informationFactorization and Factorization Breaking with TMD PDFs
Factorization and Factorization Breaking with TMD PDFs Ted C. Rogers Vrije Universiteit Amsterdam trogers@few.vu.nl Standard PDFs, Gauge Links and TMD PDFs in DIS. TMD factorization breaking in pp hadrons.
More informationQCD and Rescattering in Nuclear Targets Lecture 2
QCD and Rescattering in Nuclear Targets Lecture Jianwei Qiu Iowa State University The 1 st Annual Hampton University Graduate Studies Program (HUGS 006) June 5-3, 006 Jefferson Lab, Newport News, Virginia
More informationQCD Factorization and PDFs from Lattice QCD Calculation
QCD Evolution 2014 Workshop at Santa Fe, NM (May 12 16, 2014) QCD Factorization and PDFs from Lattice QCD Calculation Yan-Qing Ma / Jianwei Qiu Brookhaven National Laboratory ² Observation + Motivation
More informationDIS 2011 Newport News, VA Summary of WG6: Spin Physics Theory. Alexei Prokudin Jefferson Laboratory
DIS 2011 Newport News, VA Summary of WG6: Spin Physics Theory Alexei Prokudin Jefferson Laboratory WG6:Spin Physics TOTAL 60 talks Theory - 26 talks Experiment - 34 talks Theory Experiment WG6:Spin Physics
More informationTMDs and simulations for EIC
POETIC 2012, August 19 22, Indiana University Jefferson Lab TMDs and simulations for EIC F E Nucleon landscape Nucleon is a many body dynamical system of quarks and gluons Changing x we probe different
More informationSuppression of Heavy Quarkonium Production in pa Collisions
Suppression of Heavy Quarkonium Production in pa Collisions Jianwei Qiu Brookhaven National Laboratory Based on works done with Z.-B. Kang, G. Sterman, P. Sun, J.P. Vary, B.W. Xiao, F. Yuan, X.F. Zhang,
More informationExtraction of unpolarized TMDs from SIDIS and Drell-Yan processes. Filippo Delcarro
Extraction of unpolarized TMDs from SIDIS and Drell-Yan processes Filippo Delcarro What is the structure of the nucleons?! Is this structure explained by QCD?!!"#$%&' () *+,-. /0 Where does the spin of
More informationA first determination of the unpolarized quark TMDs from a global analysis
A first determination of the unpolarized quark TMDs from a global analysis Cristian Pisano QCD Evolution 2017 Thomas Jefferson National Accelerator Facility Newport News, VA (USA) May 22-26, 2017 In collaboration
More informationarxiv: v1 [hep-ph] 14 Jul 2014
arxiv:147.382v1 [hep-ph] 14 Jul 214 M. Anselmino, M. Boglione Dipartimento di Fisica Teorica, Università di Torino, and INFN, Sezione di Torino, Via P. Giuria 1, I-1125 Torino, Italy E-mail: anselmino@to.infn.it,
More informationMeasuring the gluon Sivers function at a future Electron-Ion Collider
Measuring the gluon Sivers function at a future Electron-Ion Collider Speaker: Liang Zheng Central China Normal University In collaboration with: E.C. Aschenauer (BNL) J.H.Lee (BNL) Bo-wen Xiao (CCNU)
More informationZhongbo Kang UCLA. The 7 th Workshop of the APS Topical Group on Hadronic Physics
Probing collinear and TMD fragmentation functions through hadron distribution inside the jet Zhongbo Kang UCLA The 7 th Workshop of the APS Topical Group on Hadronic Physics February 1-3, 2017 Jets are
More informationTMD phenomenology: from HERMES and COMPASS to JLAB and EIC. Alexei Prokudin. Alexei Prokudin 1
TMD phenomenology: from HERMES and COMPASS to JLAB and EIC Alexei Prokudin Alexei Prokudin Semi Inclusive Deep Inelastic Scattering l W P q l xp Cross section xp + q X h dσ Y l + P l + h + X Kinematical
More informationNucleon Spin Structure Longitudinal Spin of the Proton. HUGS Summer School Jefferson National Laboratory June 2, 2011 Lecture 5
Nucleon Spin Structure Longitudinal Spin of the Proton HUGS Summer School Jefferson National Laboratory June 2, 2011 Lecture 5 RHIC as a Polarized Proton Collider Absolute Polarimeter (H jet) pc Polarimeters
More informationExperimental Program of the Future COMPASS-II Experiment at CERN
Experimental Program of the Future COMPASS-II Experiment at CERN Luís Silva LIP Lisbon lsilva@lip.pt 24 Aug 2012 On behalf of the COMPASS Collaboration co-financed by THE COMPASS EXPERIMENT Common Muon
More informationRecent transverse spin results from STAR
1 STAR! Recent transverse spin results from STAR Qinghua Xu, Shandong University PanSpin215, Taipei, October 8, 215! Outline 2 Introduction Single spin asymmetries in the forward region Mid-rapidity hadron-jet
More informationGPDs and TMDs at Electron-Ion Collider. Workshop on hadron tomography at J-PARC and KEKB January 6 th, 2017 KEK, Tsukuba, Japan Yuji Goto (RIKEN)
GPDs and TMDs at Electron-Ion Collider Workshop on hadron tomography at J-PARC and KEKB January 6 th, 2017 KEK, Tsukuba, Japan Yuji Goto (RIKEN) Electron-Ion Collider World s first polarized electron +
More informationTransversity: present and future. Alessandro Bacchetta
Transversity: present and future Alessandro Bacchetta Outline Trento, 11.06.07 Alessandro Bacchetta Transversity: present and future 2 Outline Overview of experimental possibilities Trento, 11.06.07 Alessandro
More informationSingle spin asymmetries in ultra peripheral pa collisions
Single spin asymmetries in ultra peripheral pa collisions Sanjin Benić (YITP) SB, Hatta, in preparation YKIS2018b, Kyoto, June 11, 2018 Single spin asymmetry 1/2 S x y unpolarized π π polarized z A N =
More informationTransversity experiment update
Transversity experiment update Hall A collaboration meeting, Jan 20 2016 Xuefei Yan Duke University E06-010 Collaboration Hall A collaboration The Incomplete Nucleon: Spin Puzzle 1 2 = 1 2 ΔΣ + L q + J
More informationThe Electron-Ion Collider: Exploring the science of Nuclear Femtography
The Nature of Hadron Mass and Quark-Gluon Confinement from JLab Experiments in the 12-GeV Era The Electron-Ion Collider: Exploring the science of Nuclear Femtography Jianwei Qiu Theory Center, Jefferson
More informationTransverse Momentum Dependent distributions:theory...phenomenology, future
Transverse Momentum Dependent distributions:theory...phenomenology, future Umberto D Alesio Physics Department and INFN University of Cagliari, Italy QCD-N6, 2 nd Workshop on the QCD structure of the nucleon
More informationElectron-Ion Collider for Nuclear and Particle Physics. Hugh Montgomery Jefferson Lab
Electron-Ion Collider for Nuclear and Particle Physics Hugh Montgomery Jefferson Lab Input to this Talk Abhay Deshpande's EICAC talk to Jefferson Lab Users http://www.jlab.org/conferences/ugm/talks/monday/deshpande.pdf
More informationQCD Factorization Approach to Cold Nuclear Matter Effect
Physics Division Seminar April 25, 2016 Mini-symposium on Cold Nuclear Matter from Fixed-Target Energies to the LHC SCGP: Small Auditorium Rm 102, October 9-10, 2016 QCD Factorization Approach to Cold
More informationZhong-Bo Kang Los Alamos National Laboratory
Introduction to pqcd and Jets: lecture 1 Zhong-Bo Kang Los Alamos National Laboratory Jet Collaboration Summer School University of California, Davis July 19 1, 014 Selected references on QCD! QCD and
More informationerhic: Science and Perspective
erhic: Science and Perspective Study of the Fundamental Structure of Matter with an Electron-Ion Collider A. Deshpande, R. Milner, R. Venugopalan, W. Vogelsang hep-ph/0506148, Ann. Rev. Nucl. Part. Sci.
More informationhermes Collaboration
Probes of Orbital Angular Momentum at HERMES - a drama with prologe, some slides, and a (not yet so) happy end - G Schnell Universiteit Gent gunarschnell@desyde For the hermes Collaboration Gunar Schnell,
More informationPolarised Drell-Yan Process in the COMPASS Experiment
Polarised Drell-Yan Process in the COMPASS Experiment Ma rcia Quaresma, LIP - Lisbon on behalf of the COMPASS collaboration 1th April 16, DIS 16 Hamburg COMPASS Ma rcia Quaresma (LIP) CERN/FIS-NUC/17/15
More informationTHE NUCLEUS AS A QCD LABORATORY: HADRONIZATION, 3D TOMOGRAPHY, AND MORE
rhtjhtyhy EINN 2017 NOVEMBER 1, 2017 PAPHOS, CYPRUS THE NUCLEUS AS A QCD LABORATORY: HADRONIZATION, 3D TOMOGRAPHY, AND MORE KAWTAR HAFIDI Argonne National Laboratory is a U.S. Department of Energy laboratory
More informationPoS(INPC2016)305. Measuring gluon sivers function at a future Electron-Ion Collider. Liang Zheng
Measuring gluon sivers function at a future Electron-Ion Collider Key Laboratory of Quark and Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China
More informationNucleon spin and parton distribution functions
Nucleon spin and parton distribution functions Jörg Pretz Physikalisches Institut, Universität Bonn on behalf of the COMPASS collaboration COMPASS Hadron 2011, Munich Jörg Pretz Nucleon Spin and pdfs 1
More informationIntroduction to Quantum ChromoDynamics and the parton model
Introduction to Quantum ChromoDynamics and the parton model Pavel Nadolsky Southern Methodist University Dallas, TX, USA TMD Collaboration Summer School June 22, 2017 Objectives of the lectures Review
More informationIntroduction to Perturbative QCD
Introduction to Perturbative QCD Lecture 3 Jianwei Qiu Iowa State University/Argonne National Laboratory PHENIX Spinfest at RIKEN 007 June 11 - July 7, 007 RIKEN Wako Campus, Wako, Japan June 6, 007 1
More informationMeasurements of unpolarized azimuthal asymmetries. in SIDIS at COMPASS
Measurements of unpolarized azimuthal asymmetries in SIDIS at COMPASS Trieste University and INFN on behalf of the COMPASS Collaboration Measurements of unpolarized azimuthal asymmetries in SIDIS at COMPASS
More informationQuarkonium Production at J-PARC
Quarkonium Production at J-PARC Jen-Chieh Peng University of Illinois at Urbana-Champaign J-PARC Meeting for Spin and Hadron Physics RIKEN, April 7-8, 008 Outline Quarkonium Production at J-PARC with Unpolarized
More informationSSA and polarized collisions
SSA and polarized collisions Matthias Burkardt New Mexico State University August 20, 2012 Outline 2 Deeply virtual Compton scattering (DVCS) Generalized parton distributions (GPDs) transverse imaging
More informationTransverse Spin Phenomena and Their Impact on QCD In Honor of Gary Goldstein's 70th Birthday October 28-29, October 2010 Jefferson Lab
Transverse Spin Phenomena and Their Impact on QCD In Honor of Gary Goldstein's 70th Birthday October 28-29, 2010 28-29 October 2010 Jefferson Lab Transverse SPIN Observables SSA (TSSA) P P πx Single Spin
More informationSpin Structure of the Nucleon: quark spin dependence
Spin Structure of the Nucleon: quark spin dependence R. De Vita Istituto Nazionale di Fisica Nucleare Electromagnetic Interactions with Nucleons and Nuclei EINN005 Milos September, 005 The discovery of
More informationThe transverse spin and momentum structure of hadrons. 03/26/10 talk #3 Parton Model Gauge Links T-odd TMDs. Leonard Gamberg Penn State University
The transverse spin and momentum structure of hadrons 03/26/10 talk #3 Parton Model Gauge Links T-odd TMDs Leonard Gamberg Penn State University T-Odd Effects From Color Gauge Inv. via Wilson Line Gauge
More informationResearch in QCD factorization
Research in QCD factorization Bowen Wang Southern Methodist University (Dallas TX) Jefferson Lab Newport News VA 1/1/015 My research at SMU in 011-015 Ph. D. advisor: Pavel Nadolsky Ph. D. thesis: The
More information(Bessel-)weighted asymmetries
QCD Evolution Workshop, Jefferson Lab 20-04-09 (Bessel-)weighted asymmetries Bernhard Musch (Jefferson Lab) presenting work in collaboration with Daniël Boer (University of Groningen), Leonard Gamberg
More informationTMD physics with e.m. probes at COMPASS
INT-18-3-PROBING NUCLEONS AND NUCLEI IN HIGH ENERGY COLLISIONS SYMPOSIUM 22-26 OCTOBER, UW, SEATTLE TMD physics with e.m. probes at COMPASS Andrea Bressan University of Trieste and INFN (on behalf of the
More informationarxiv: v1 [hep-ph] 13 Nov 2017
Using Light-Front Wave Functions arxiv:7.0460v [hep-ph] 3 Nov 07 Department of Physics, Indian Institute of Technology Bombay; Powai, Mumbai 400076, India E-mail: asmita@phy.iitb.ac.in We report on some
More informationlight-cone (LC) variables
light-cone (LC) variables 4-vector a µ scalar product metric LC basis : transverse metric 24-Apr-13 1 hadron target at rest inclusive DIS target absorbes momentum from γ * ; for example, if q z P z =0
More informationGeneralized Parton Distributions and Nucleon Structure
Generalized Parton Distributions and Nucleon Structure Volker D. Burkert Jefferson Lab With pqcd established we have the tool to understand matter at a deeper level. Nobel prize 2004 - D. Gross, D. Politzer,
More informationIntroduction to Quantum Chromodynamics (QCD)
Introduction to Quantum Chromodynamics (QCD) Jianwei Qiu Theory Center, Jefferson Lab May 29 June 15, 2018 Lecture One The plan for my four lectures q The Goal: To understand the strong interaction dynamics
More informationNucleon tomography at small-x
Nucleon tomography at small-x Yoshitaka Hatta (Yukawa inst. Kyoto U.) Contents Introduction: Wigner distribution in QCD Measuring Wigner (unpolarized case) Wigner distribution and orbital angular momentum
More informationarxiv: v1 [hep-ph] 5 May 2011
Hard- and soft-fermion-pole contributions to single transverse-spin asymmetry for Drell-Yan process arxiv:1105.1036v1 [hep-ph] 5 May 2011 Koichi Kanazawa 1 and Yuji Koike 2 1 Graduate School of Science
More informationImpact of SoLID Experiment on TMDs
Impact of SoLID Experiment on TMDs QCD Evolution 2017 @ Jefferson Lab, Newport News May 22-26 th 2017 Tianbo Liu Duke University and Duke Kunshan University In collaboration with: N. Sato, A. Prokudin,
More informationTMDs in covariant approach
TMDs in covariant approach Petr Zavada Institute of Physics AS CR, Prague, Czech Rep. (based on collaboration and discussions with A.Efremov, P.Schweitzer and O.Teryaev) Newport News, VA, May, 16-19, 2016
More informationGeneralized TMDs in Hadronic collisions. Shohini bhattacharya Temple university Light cone 2018
Generalized TMDs in Hadronic collisions Shohini bhattacharya Temple university Light cone 2018 OUTLINE Generalized TMDs (GTMDs) Quark GTMDs in Exclusive Double Drell-Yan Process (S. Bhattacharya, A. Metz,
More informationFactorization and Fully Unintegrated Factorization
Factorization and Fully Unintegrated Factorization Ted C. Rogers Vrije Universiteit Amsterdam trogers@few.vu.nl Factorization and unintegrated PDFs: open problems Fully unintegrated factorization INT 09
More informationThe transverse spin and momentum structure of hadrons. 03/26/10 talk #2 Parton Model, SIDIS & TMDs. Leonard Gamberg Penn State University
The transverse spin and momentum structure of hadrons 03/26/10 talk #2 Parton Model, SIDIS & TMDs Leonard Gamberg Penn State University The Transverse Spin and Momentum Structure of Hadrons Details TMDs
More information& Tech Note: Jin Huang (M.I.T.), Yi Qiang (JLab) Hall A Analysis Workshop Dec 8, JLab
& Tec Note: ttp://www.jlab.org/~jinuang/transversity/mle.pdf Jin Huang (M.I.T., Yi Qiang (JLab Hall A Analysis Worksop Dec 8, 010 @ JLab Wat are Azimutal Asymmetries TMD & SIDIS Definition Related Experiments
More informationMeson Structure with Dilepton Production
Meson Structure with Dilepton Production Jen-Chieh Peng University of Illinois at Urbana-Champaign 9 th Workshop on Hadron Physics in China and Opportunities Worldwide Nanjing University, July 24-28, 2017
More informationProbing small-x gluons in hadrons and nuclei. Kazuhiro Watanabe. Old Dominion University. Jan 4, 2017 Jefferson Lab
Probing small-x gluons in hadrons and nuclei Kazuhiro Watanabe Old Dominion University Jan 4, 2017 Jefferson Lab Kazuhiro Watanabe (ODU) Probing gluon saturation dynamics at small-x Jan 4, 2017 1 / 16
More informationTransverse momentum-dependent parton distributions from lattice QCD. Michael Engelhardt New Mexico State University
Transverse momentum-dependent parton distributions from lattice QCD Michael Engelhardt New Mexico State University In collaboration with: B. Musch P. Hägler J. Negele A. Schäfer Lattice theorists go shopping...
More informationhunting the OAM Delia Hasch a very brief review of the spin sum rule observables of OAM some attempts to quantify OAM conclusion
INT workshop on gluons and the quark sea at high energies, INT Seattle, Sep-Nov, 2010 Delia Hasch hunting the OAM a very brief review of the spin sum rule observables of OAM some attempts to quantify OAM
More informationGluon TMDs and Opportunities at EIC
Gluon TMDs and Opportunities at EIC Cristian Pisano INT-18-3 Workshop Transverse Spin and TMDs October 8-12 2018 Seattle (USA) 2/35 TMD factorization and color gauge invariance TMD factorization Two scale
More information