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THE STRUCTURE OF MATTER WHAT THE EIC WILL TEACH US E.C. Aschenauer Seminar at Indiana University, April 2011 1
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E.C. Aschenauer Seminar at Indiana University, April 2011 1.

Jan 12, 2016

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What can we do with 200GeV polarized pp in 2011

The Structure of Matter

WHAT the EIC will teach UsE.C. AschenauerSeminar at Indiana University, April 20111What is eRHIC e-e+pUnpolarized andpolarized leptons5-20 (30) GeVPolarized light ions He3 215 GeV/uLight ions (d,Si,Cu)Heavy ions (Au,U)50-130 GeV/uPolarized protons50-325 GeVElectron accelerator

to be buildRHIC

existing70% e- beam polarization goalpolarized positrons?Center mass energy range: s=30-200 GeV; L~100-1000xHeralongitudinal and transverse polarization for p/He3 possiblee-

E.C. AschenauerSeminar at Indiana University, April 20112eRHIC is one of the pillars of BNLs strategic and priority plan23E.C. AschenauerSeminar at Indiana University, April 2011

RHICNSRLLINACBoosterAGSTandemsSTAR6:00 oclockPHENIX8:00 oclock(PHOBOS)10:00 oclockRF4:00 oclock(BRAHMS)2:00 oclockFrom RHIC to eRHIC EBISERL Test Facility eeeRHICJet/C-Polarimeters12:00 oclockeRHIC-Detector& Polarimeters12:00 oclock3eSTARePHENIX100m |--------|Coherent e-cooler22.5 GeV 17.5GeV 12.5 GeV 7.5 GeV Common vacuum chamber27.5 GeV 2.5 GeV Beam-dumpPolarized e-guneRHIC detector25 GeV 20 GeV 15 GeV 10 GeV Common vacuum chamber30 GeV 5 GeV 0.1 GeV RHIC: 325 GeV p or 130 GeV/u AueRHIC: staging all-in tunnel

Gap 5 mm total0.3 T for 30 GeV SRF linacVertically separatedrecirculating passes.# of passes will be chosen to optimize eRHIC cost energy of electron beam is increasing from 5 GeV to 30 GeV by building-up the linacsFrom RHIC to eRHICE.C. AschenauerSeminar at Indiana University, April 20114eRHIC IR1p /AeEnergy (max), GeV325/13020Number of bunches16674 nsecBunch intensity (u) , 10112.00.24Bunch charge, nC324Beam current, mA42050Normalized emittance, 1e-6 m, 95% for p / rms for e1.225Polarization, %7080rms bunch length, cm4.90.2*, cm55Luminosity, cm-2s-1

1.46 x 1034Luminosity for 30 GeV e-beam operation will be at 20% level

Do gluons create the visible mass?E.C. AschenauerSeminar at Indiana University, April 20115

That is us !!!protons, neutronselectronsAtom10-10mNucleus10-14mProtonsQuarks & Gluons10-16m

Binding-energy: ~eVBinding-energy: 8.5 106 eVBinding-energy: ~109 eVQuark-Masses: 106-107 eVmass completely dominated by gluonThe Physics we want to studyWhat is the role of gluons and gluon self-interactions in nucleons and nuclei?Observables in eA / ep: diffractive events: rapidity gap events, elastic VM production, DVCSstructure functions F2A, FLA, F2cA, FLcA, F2p, FLp,What is the internal landscape of the nucleons?What is the nature of the spin of the proton? Observables in epinclusive, semi-inclusive Asymmetrieselectroweak Asymmetries (g-Z interference, W+/-)What is the three-dimensional spatial landscape of nucleons? Observables in ep/eAsemi-inclusive single spin asymmetries (TMDs)cross sections, SSA of exclusive VM, PS and DVCS (GPDs)What governs the transition of quarks and gluons into pions and nucleons?Observables in ep / eAsemi-inclusive c.s., ReA, azimuthal distributions, jets

E.C. AschenauerSeminar at Indiana University, April 20116 The key to the questions The Gluon It represents the difference between QED and QCD Dominates structure of QCD vacuum Responsible for > 98% of the visible mass in universe Seminar at Indiana University, April 2011Measure Glue through DIS7

Measure of resolution powerMeasure of inelasticityMeasure of momentum fraction of struck quarkE.C. Aschenauer

Kinematics:

Quark splitsinto gluonsplitsinto quarks

Gluon splitsinto quarkshigher sincreases resolution10-19m10-16m7We want to study gluons and low-x phenomenaE.C. Aschenauer8Observation of large scaling violationsSeminar at Indiana University, April 2011 Strong increase of sea quarks towards low x Density increases with Q2 more partons by magnified viewquark density

Dynamic creation of partons at low xgluon densityvalence quarks

Gluon density dominates

Before HERA

small x

large xx=1x=10-5

eA-coverageCounter-intuitively the best way is through an EM process: DISy = inelasticity = fraction of the incoming electron energy carried by photon in the rest frame of the nucleon The structure function F2 is sensitive to the sum of quark and anti-quark momentum distribution in the nucleon.The apparent scaling of the data with Q2 at large x in early DIS data from SLAC was termed Bjorken scaling and motivated the parton model.In the parton model, FL = 0, while in QCD, it is directly proportional to the gluon structure function, FL(x,Q2) ~ aS xG(x,Q2), at low x.DGLAP: fixed x -> evolution along Q2sigma (gamma N) = sig_T + sig_Lsig_L ~ FLsig_tot ~ F2/Q^2\frac{d^2 \sigma^{ep \rightarrow eX}}{dx dQ^2} = \frac{4 \pi \alpha^2_{e.m.}}{xQ^4} \left[ \left(1-y+\frac{y^2}{2} \right ) F_2(x,Q^2) - \frac{y^2}{2} F_L(x,Q^2) \right]

Seminar at Indiana University, April 2011

FL: measures glue directly9FL ~ s G(x,Q2) requires s scan Q2/xs = y G(x,Q2) with great precisionE.C. AschenauerBremsstrahlung~ asln(1/x)x = Pparton/Pnucleon small x/higher energyRecombination~ asrHow many gluons have space in the proton?

current theory (DGLAP) has a built in energy catastropheG rapid raise violates unitary bound BK/JIMWLK non-linear evolution includes recombination effects saturationDynamically generated scale Saturation Scale: Q2s(x)Increases with energy or decreasing xScale with Q2/Q2s(x) instead of x and Q2 separatelyE.C. Aschenauer10Seminar at Indiana University, April 2011Saturation must set in at low x high occupancy space becomes crowded gluons start to overlap recombination

as~1 as 2RA (~ A1/3), cannot distinguish between nucleons in the front or back of of of the nucleus. Probe interacts coherently with all nucleons. Probes with transverse resolution 1/Q2 ( Qs to study onset of saturation

ep: even 1 TeV is on the low sideeA: s = 50 GeV is marginal, around s = 100 GeV desirable 20 GeV x 100 GeV E.C. AschenauerSeminar at Indiana University, April 2011Measurements & TechniquesGluon Distribution G(x,Q2)Scaling violation in F2: F2/lnQ2day 1 measurements (inclusive DIS)FL ~ xG(x,Q2)requires running at wide range of s2+1 jet ratessensitive dominantly to large xDiffractive vector meson production ([xG(x,Q2)]2 )most sensitive methodSpace-Time DistributionExclusive diffractive VM production (J/) at Q2~0 (photoproduction)Gluonic form factor of nucleiE.C. AschenauerBNL Science Council, July 201014

F2: for Nuclei15E.C. AschenauerSeminar at Indiana University, April 2011

Assumptions: 10GeV x 100GeV/n s=63GeV Ldt = 4/A fb-1 equiv to 3.8 1033 cm-2s-1 T=2weeks; DC:50% Detector: 100% efficient Q2 up to kin. limit sx Statistical errors only Note: L~1/A

antishadowingsweet spotR=1shadowingLHC h=0RHIC h=3Measuring FL with the EICE.C. AschenauerSeminar at Indiana University, April 201116

FL ~ asG(x,Q2): the most direct way to G(x,Q2)FL needs various s longer programIn order to extract FL one needsat least two measurements of theinclusive cross section with a wide span in inelasticity parameter y (Q2=sxy)

Coverage in x & Q2 for inclusivecross section measurements Plot for 4 GeV electrons on 50 250 GeV protons

Achievable y-range extremely criticalFeasibility Study: sr=F2(x,Q2)-y2/Y+FL(x,Q2)E.C. AschenauerSeminar at Indiana University, April 201117

Y+=1+(1-y)2Strategies:slope of sr vs y2Y+ fordifferent s at fixed x & Q2e+p: 1st stage5x50 5x3254 weeks each50% effonly stat. error shown negligibleTo Do:include detectoreffects and syst. uncert.Getting a Feel for non-linear QCDE.C. AschenauerSeminar at Indiana University, April 201118

Dipole Model:

N: Dipole Scattering Amplitude

ep

eAu0: dilute, linear QCD (N~r2)1: saturated, non-linear regimeF2, FL in the Dipole ModelE.C. AschenauerSeminar at Indiana University, April 201119Proton:Nucleus:F2FL

Probing Gluonic Structure of Nuclear ForcesE.C. Aschenauer20

Experimental Requirement:

Photo-production c.s. large & |t| ~ pt2(VM) J/Y easy to detect for |h| < 2 well separated from background Crucial: detecting breakup of nuclei Coherent vs. Incoherent requires detection of breakup with ~ 10-4 efficency Need e to measure t for Q2>10-3 GeV2Seminar at Indiana University, April 2011Basic Idea:Exclusive diffractive VM production eA eAV Diffractive c.s. sdiff/ stot ~ 25 40% process most sensitive to xG(x,Q2) dsA/dt Fg(b) Promising method to measure gluon form factor in nuclei long wavelength gluons (small t) Kowalski, Caldwell 09e+A e+A+J/e+Ale+Aue+CucoherentincoherentsumInteraction of fast probes with gluonic medium21

Au+Au @ 200 GeV/nE.C. AschenauerSeminar at Indiana University, April 2011RHIC-dramatic effects:What can we can learn fromcold nuclear matter in DISDeep Inelastic Scattering - Vacuumtp production time tp - propagating quarkhtf formation time htf - dipole grows to hadronWhat happens if we add a nuclear medium E.C. Aschenauer22Seminar at Indiana University, April 2011Observables:Broadening:

Attenuation:

link Dpt2 directly with saturation scale (B. Kopeliovich)modifications of nPDF cancel outExample here is DIS in vacuum

Propagating quark is colored, thus emits gluons. Free. Lifetime of deconfined quark. Universal for light quarks?

Dipole is a color singlet object, thus no gluon emission. Prehadron. Formation time depends on hadron formed.

Heuristic arguments and models: Formation time is longer, ~ 1 order of magnitude for pions.

One of the goals of the studies I will be describing is to directly measure these two time parameters. Another is to understand the detailed mechanisms of how the hadron gets formed. The method of determining these quantities consists of studying this process embedded in a nuclear medium of well-known properties such as size and density.

Make point here - whole process is hadronization? or make that point later?What do we know and what can EIC doE.C. AschenauerSeminar at Indiana University, April 201123

zEq = = Ee-Ee 13 GeVEh = z 2-15 GeV Hermes:EIC:light hadrons

CharmUnprecedented precisionto distinguish between models

Opportunities in (un)polarized DISE.C. AschenauerSeminar at Indiana University, April 201124

How do the partons form the spin of protonsSeminar at Indiana University, April 201125

SqDq

DG

Lg

SqLq

dq

SqDqDGLgSqLqdq

Is the proton looking like this?Helicity sum rule

total u+d+squark spinangular momentumgluonspinWhere do we standsolving the spin puzzle ?E.C. AschenauerPolarized Deep Inelastic ScatteringE.C. AschenauerSeminar at Indiana University, April 201126cross section:

Till of today all DIS experiments involving polarization are fixed target extremely limited x-Q2 rangeknowledge on polarised pdfslimited

Knowledge todayQuarks: 30%Gluons: close to nothing??? Where is the spin of the proton ???

still 20% missingwhat goes wrong?

the reach of an EICWhere is the spin of the quarks?E.C. Aschenauer27Seminar at Indiana University, April 2011

large cancellations ins due to node in s(x)

Need to separate the individual flavoursE.C. Aschenauer28Seminar at Indiana University, April 2011g from inclusive DIS and polarized ppE.C. AschenauerSeminar at Indiana University, April 201129Scaling violations of g1 (Q2-dependence) give indirect access to the gluon distribution via DGLAP evolution. RHIC polarized pp collisions at midrapidity directly involve gluons Rule out large DG for 0.05 < x < 0.2

Current knowledge on Dg

RHICDISEICconstrained x-range still very limited

xrecall:RHICppDIS&pp low x behavior unconstrained no reliable error estimate for 1st moment (entering spin sum rule) find

DSSV global fit

positive DgpQCD scaling violationsEIC: what can be achieved for g?E.C. Aschenauer30Seminar at Indiana University, April 2011strategy to quantify impact: global QCD fit with realistic toy data

DIS data sets produced for stage-1 [5x50, 5x100, 5x250, 5x325] and 20x250, 30x325 DIS statistics insane after 1 month of running (errors MUCH smaller than points in plots) W2 > 10GeV2polarized DIS and impact on g(x,Q2)E.C. Aschenauer31Seminar at Indiana University, April 2011ECA+M. Stratmann

currentdata

how effective are scaling violations at the EIC DSSV+ includes also latestCOMPASS (SI)DIS data(no impact on DSSV g)

2 profile slims downsignificantly alreadyfor EIC stage-1(one month of running) with 30x325 one can reach down to x 310-5 (impact needs to be studied) Sassot, Stratmannwhat can be achieved for g? contdE.C. Aschenauer32Seminar at Indiana University, April 2011

what about the uncertainties on the x-shape Sassot, Stratmann

unique feasible relevantgolden measurementwhat can be achieved for g? contd33

expect to determine at about 10% level (or better more studies needed)kinematic reach down to x = 10-4 essential to determine integral

strangeness is one of the least known quantities in hadronic physics both unpolarized and polarized where significant progress is unlikely w/o the EIC

DSSV (incl. all latest COMPASS data)

data surprise: s small & positive from SIDIS data but 1st moment is negative and sizable due to constraint from hyperon decays (F,D) (assumed SU(3) symmetry debatable M. Savage) drives uncertainties on (spin sum) we really need to determine it ! (as well as their u,d quark colleagues)selected open issues in flavor structure

E.C. AschenauerSeminar at Indiana University, April 201134

NNPDF collaboration

substantial uncertainties known issues with HERMES data at large x hot topic:

at LO: extra weightfor each quark

actual analysis of data requires NLO QCD where x, z dependence is non-trivialallows for full flavor separation if enough hadrons are studiedrelevant quantities/measurements: (un)polarized SIDIS cross sections (we dont want to study asymmetries anymore at an EIC) for u, ubar, d, dbar, s, sbar separation need h = +, -, K+, K- (nice to have more)complications/additional opportunities: PDF information entangled with fragmentation functions should be not a problem: already known pretty well (DSS), more data (Belle, LHC, ) EIC: if needed, can play with x & z integration/binning to reduce uncertainties (needs to be studied in more detail) flavor separation with semi-inclusive DIS

E.C. AschenauerSeminar at Indiana University, April 201135

ECA, M. Stratmanncompute K+ yields at NLO with 100 NNPDF replicasz integrated to minimize FF uncertainties (work in progress)

PYTHIA agrees very well (despite different hadronization) --> confidence that we can use MC to estimate yields & generate toy data actual uncertaintiesmuch smaller than pointsone month of running5250 GeV1st studies done for charged kaons

E.C. AschenauerSeminar at Indiana University, April 201136to do: include also ; polarized SIDIS and impact on global fit next step: assess impact of data on PDFs with reweighting method (using full set of stage-1 energies: 550 5325)Giele, Keller; NNPDF

how about K- (relevant for s sbar separation)kaon studies contd

E.C. AschenauerSeminar at Indiana University, April 201137

Nobel Prize, 1943: "for his contribution to the development of the molecular ray method and his discovery of the magnetic moment of the proton" mp = 2.5 nuclear magnetons, 10% (1933)Otto SternProton spins are used to image the structure and function of the human body using the technique of magnetic resonance imaging.

Paul C. Lauterbur

Sir Peter MansfieldNobel Prize, 2003: "for their discoveries concerning magnetic resonance imaging"

The Spin of the Proton in 3DE.C. AschenauerDOE LDRD Review, April 201138Quantum phase-space tomography of the nucleon 3D picture in momentum space 3D picture in coordinate space transverse momentum generalized parton distributions dependent distributions exclusive reaction like DVCS

E.C. AschenauerSeminar at Indiana University, April 201139

Polarized p

d-quarku-quarkPolarized p

Join the real 3D experience !!

TMDsGPDsAzimuthal angles and asymmetriesE.C. AschenauerSeminar at Indiana University, April 201140

angle of hadron relative to initial quark spin (Sivers)

angle of hadron relative to final quark spin (Collins)

Sivers

CollinsSIDIS allows to study subprocesses individually40The Sivers FunctionE.C. AschenauerSeminar at Indiana University, April 201141HERMES:

EIC: 1 month @ 20 GeV x250 GeVGPDs and The Hunt for LqE.C. AschenauerSeminar at Indiana University, April 201142

Study of hard exclusive processes allows to access a new class of PDFsGeneralized Parton Distributions

possible way to accessorbital angular momentumexclusive: all reaction products are detected missing energy (DE) and missing Mass (Mx) = 0From DIS

Spin Sum Rule in PRF:42GPDs IntroductionSeminar at Indiana University, April 201143How are GPDs characterized?unpolarized polarized

conserve nucleon helicity

flip nucleon helicitynot accessible in DISDVCS

quantum numbers of final state select different GPD

pseudo-scaler mesons

vector mesons

02u+d, 9g/42u-d, 3g/4fs, g+u-dJ/gp02Du+Ddh2Du-Dd x+, x- long. mom. fract. t = (p-p)2 x xB/(2-xB)E.C. AschenauerCover wide range in t impact parameter space b

Goal: measure t over a wide rangeWell get roman pots in the forward region at EIC!

L = 27.77 pb-1

55 events (DVCS + BH)for eRHIC: 4fb-1 / week + Roman Pots ~ 7900 events/week !!

assuming the same acceptance as LPS (~2%) to small for p-tomography

Silicon micro-stripsresolution: 0.5% for PL5 MeV for PTDVCS at eRHICE.C. AschenauerSeminar at Indiana University, April 201144

SummaryE.C. AschenauerSeminar at Indiana University, April 201145

till todaywe have just explored the tip of the icebergto understand gluonsyou are hereDutot, DdtotLq,gDsDgspin sum ruleKnowledge aboutGluons in p /A

EIC can provide the answers to manyof our questions

why we have massand protons spinwe welcome everybodyto join theEIC effortE.C. Aschenauer46BACKUPSeminar at Indiana University, April 2011( = getting used to acronyms)heavy quarks:mQ >> QCD (i.e., charm, bottom, top) no mass singularities -> no evolving, genuine heavy quark PDFs asymptotically large logarithms in DIS

zero mass variable flavor-number scheme ZM-VFNS standard evolution with massless partons above threshold Q = mc

different ways to treat heavy quarks in calculations: (use charm as an example) fixed flavor-number scheme FFNS only u, d, s, g are active partons; charm produced though NLO parton-level MC (HVQDIS) Harris, Smith

general mass variable flavor-number scheme GM-VFNS attempt to match two distinct theories (nf=3+mc vs. nf=4) needs some matching & interpolating coefficient fcts. details matter in global fits !

not a priori clear if / where logs mattertreatment of heavy quarks

E.C. AschenauerSeminar at Indiana University, April 201147long-standing question (example from 94 Glck, Reya, Stratmann)

mc 0mc 0mc = 0mc = 0 even at high Q2 or W2, mc = 0 approx. not effective no smooth transition/matching existing HERA data described well with mc 0 differences more dramatic for FLc (never measured) target for an EICheavy quarks do they ever become light E.C. AschenauerSeminar at Indiana University, April 201148E.C. AschenauerSeminar at Indiana University, April 20111st feasibility study reduced cross section (charm)

ECA

for charm (via D mesons)TO DO:

refine & testhow well we can extract FLc 5x50 - 5x325 runningbin needs30x325FL slopesfor fixed x,Q249Kinematic PlaneE.C. AschenauerSeminar at Indiana University, April 201150

Need to study hadronic methodto increase y acceptance

neutral currents (, Z exchange, Z interference) charged currents (W exchange)at high enough Q2 electroweak probes become relevant parameterized by new structure functions which probecombinations of PDFs different from photon exchange--> flavor decomposition without SIDIS, e-w couplingshadron-spin averaged case: studied to some extent at HERA (limited statistics)hadron-spin difference:Wray; Derman; Weber, MS, Vogelsang;Anselmino, Gambino, Kalinowski;Blumlein, Kochelev; Forte, Mangano, Ridolfi; contains e-w propagatorsand couplingsunexplored so far unique opportunity for an EIC

EW: main objective / why interestingE.C. AschenauerSeminar at Indiana University, April 201151in the parton model (for simplicity)NC:

CC:

requires a positron beam NLO QCD corrections all available can be easily put into global QCD analysis enough combinations for a flavor separation (no fragmentation)de Florian, Sassot; Stratmann, Vogelsang, Weber;van Neerven, Zijlstra; Moch, Vermaseren, Vogtwhat can be learned

E.C. AschenauerSeminar at Indiana University, April 201152

Ringer, Vogelsangno y cuty > 0.1Q2 > 1 GeV23032520250HERA2nd indep. study: Kumar, Riordan, Deshpande, Taneja, Paschke feasibility 1st exploratory studies

E.C. AschenauerSeminar at Indiana University, April 201153

Ringer, Vogelsang20 250 GeVQ2 > 1 GeV20.1 < y < 0.910 fb-1DSSV PDFs

very promising! even doable with5x250 GeVfeasibility contd

E.C. AschenauerSeminar at Indiana University, April 201154What else can DY @ RHIC teach usSeminar at Indiana University, April 201155

DISDYRHIC Collisions

recent review by Accardi et al, arXiv:0907.3534dAu / pAu:no hadron formation pt broadening only due to gluon radiation determine Qs B. Z. Kopeliovich et al., Phys. Rev. C81 (2010) 035204eAu:hadron formation in-/outside nucl. mediumgluon radiation pt broadening due to both effects EIC:wide n coverage chose effectParton Propagation in Nuclear Medium:E.C. AschenauerSituation for DY in dAu should be very similar to pp in the d-beam side low xExample here is DIS in vacuum

Propagating quark is colored, thus emits gluons. Free. Lifetime of deconfined quark. Universal for light quarks?

Dipole is a color singlet object, thus no gluon emission. Prehadron. Formation time depends on hadron formed.

Heuristic arguments and models: Formation time is longer, ~ 1 order of magnitude for pions.

One of the goals of the studies I will be describing is to directly measure these two time parameters. Another is to understand the detailed mechanisms of how the hadron gets formed. The method of determining these quantities consists of studying this process embedded in a nuclear medium of well-known properties such as size and density.

Make point here - whole process is hadronization? or make that point later?2468102.5 m3.5 m121490 mm5.75 m16IPDipole:2.5 m, 6Tmq=18 mrad4.5 mq=18 mradq=10 mradEstimated b* 8 cmq=44 mrad6.3 cmZDCpc/2.515.7 cm6 mrad11.2 cm4.5 cmneutronspc/2.5IP configuration for eRHIC

Nice design for protons from exclusive reactions and nuclear breakup particlespt > 1.5GeV main detector0.1 MeV < pt < 1GeV after dipole E.C. Aschenauer56Seminar at Indiana University, April 20110.44843 mQ5D5Q490.08703 m10 mrad0.39065 m60.0559 m1020300.333 mIR DesignE.C. Aschenauer574 m4.5q=18 mrad5.75 m5.75 cm11.9 m17.65 mq=27.194 mrad30 GeV e-325 GeV pOr 125 GeV/u ionsDipole to separate p/A beamfrom recoil/breakup particleseRHIC - Geometry high-lumi IR with *= 8cm, l*=4.5 mand 10 mrad crossing angle D.TrbojevicSeminar at Indiana University, April 201157A detector integrated into IRE.C. AschenauerSeminar at Indiana University, April 201158ZDCFPDFEDspace for e-polarimetryand luminositymeasurements central detector acceptance: very high coverage -5 < h < 5 Tracker and ECal coverage the same Dipoles needed to have good forward momentum resolution DIRC, RICH hadron identification p, K, p low radiation length extremely critical low lepton energies precise vertex reconstruction (< 10 mm) separate Beauty and Charmed Meson for ERL solution need not to measure electron polarization bunch by bunch Still to be integrated luminosity monitor hadronic polarimetersE.C. AschenauerSeminar at Indiana University, April 2011The Dipole Model59 Suppose we view DIS in rest frame of target * fluctuation into quark, anti-quark (dipole) frozen w / radial separation r Dipole interacts with proton/nuclei Then DIS cross-section

Interesting physics in What happens @ large r ? In dipole picture saturates for r>R0 = 1/Qs assume: Use BFKL for x dependence of

Geometric Scaling works for proton andnucleix < 0.01

EIC - What Luminosity is Needed?60

syst. uncertaintiesFL: inclusive measurements at different s, assume 1% energy-to-energy normalizationConclusion from this study:good control on systematic uncertainties criticalLdt = 4/A fb-1 (10+100) GeV & 4/A fb-1 (10+50) GeV & 2/A fb-1 (5+50) GeVAll together 5 weeks at L ~ 1x1034cm-2 s-1 & 50% duty cycle(Note: 1000x Hera L)

E.C. AschenauerSeminar at Indiana University, April 2011

hadron!beam lepton!beam

SolenoidHadronic CalorimeterEM!CalorimeterRICHHigh Threshold CerenkovDIRCTracking

4T Solenoid

HERA F2

0

1

2

3

4

5

1 10 10 2 10 3 10 4 10 5

F 2 em -

log10

(x)

Q2(GeV2)

ZEUS NLO QCD fitH1 PDF 2000 fit

H1 94-00H1 (prel.) 99/00ZEUS 96/97BCDMSE665NMC

x=6.32E-5 x=0.000102x=0.000161

x=0.000253x=0.0004

x=0.0005x=0.000632

x=0.0008

x=0.0013

x=0.0021

x=0.0032

x=0.005

x=0.008

x=0.013

x=0.021

x=0.032

x=0.05

x=0.08

x=0.13x=0.18

x=0.25

x=0.4x=0.65

q(x,Q2 ) + q (x,Q2 )

g(x,Q2 )

q(x,Q2 ) q (x,Q2 )

= 460, 575, 920 GeVpE0.

0000

59

0.00

0087

0.00

013

0.00

017

0.00

021

0.00

029

0.00

040

0.00

052

0.00

067

0.00

090

0.00

11

0.00

15

0.00

23x

H1 (Prelim.) H1PDF 2009)2 (R=0.25, FL F H1PDF 2009)2 (R=0.50, FL F

Dipole Model (IIM) Dipole Model (GBW) WT NLO + NLL(1/x)

LH1 Preliminary F

2 / GeV 2Q

)2 (x

, QLF

0

0.5

1

10 210

2 = 2.5 GeV2Q 2 = 3.5 GeV2Q 2 = 5.0 GeV2Q 2 = 6.5 GeV2Q

2 = 8.5 GeV2Q 2 = 12 GeV2Q 2 = 15 GeV2Q 2 = 20 GeV2Q

2 = 25 GeV2Q

LH1 Preliminary F

x

)2 (x

, QLF

H1PDF 2009 H1PDF 2009)2 (R=0.25, FLF H1PDF 2009)2 (R=0.50, FLF

H1 Data = 460, 575, 920 GeVpE

0

0.5

1

0

0.5

1

0

0.5

1 -410-310 -410 -310 -410 -310

-410 -310

2 = 3.5 GeV2Q 2 = 3.5 GeV2Q 2 = 3.5 GeV2Q

2 = 3.5 GeV2Q 2 = 3.5 GeV2Q 2 = 3.5 GeV2Q

x

, y)

2 (x

, Qr!

H1 Preliminary

H1 Data H1PDF 2009r! = 920 GeVpE = 575 GeVpE = 460 GeVpE

= 920 GeVpE = 575 GeVpE = 460 GeVpE

H1PDF 20092F

0.8

1

1.2

0.8

1

1.2 -410 -410

-410

Pb nucleus, L, IPsat

0.2 0.3 0.4 0.5 0.6

1e-05 0.0001 0.001x

1

10

100

Q2 [G

eV2 ]

0 0.1 0.2 0.3 0.4 0.5 0.6

Pb nucleus, L, IPsat

EIC

1e-05 0.0001 0.001x

1

10

100

Q2 [G

eV2 ]

Pb nucleus, L, IPsat

mEIC

1e-05 0.0001 0.001x

1

10

100

Q2 [G

eV2 ]

Pb nucleus, tot, IPsat

0.2 0.3 0.4 0.5

1e-05 0.0001 0.001x

1

10

100

Q2 [G

eV2 ]

0 0.1 0.2 0.3 0.4 0.5 0.6

Pb nucleus, tot, IPsat

EIC

1e-05 0.0001 0.001x

1

10

100

Q2 [G

eV2 ]

Pb nucleus, tot, IPsat

mEIC

1e-05 0.0001 0.001x

1

10

100

Q2 [G

eV2 ]

proton, tot, IPsat

0.2 0.3

1e-05 0.0001 0.001x

1

10

100

Q2 [G

eV2 ]

0 0.1 0.2 0.3 0.4 0.5 0.6

proton, tot, IPsat

HERA

1e-05 0.0001 0.001x

1

10

100

Q2 [G

eV2 ]proton, tot, IPsat

EIC

1e-05 0.0001 0.001x

1

10

100

Q2 [G

eV2 ]

proton, L, IPsat

0.2 0.3 0.4

1e-05 0.0001 0.001x

1

10

100

Q2 [G

eV2 ]

0 0.1 0.2 0.3 0.4 0.5 0.6

proton, L, IPsat

HERA

1e-05 0.0001 0.001x

1

10

100

Q2 [G

eV2 ]proton, L, IPsat

EIC

1e-05 0.0001 0.001x

1

10

100

Q2 [G

eV2 ]

)2-t (GeV0 0.05 0.1 0.15 0.2 0.25 0.3

)2/d

t (nb

/GeV

md

-610

-510

-410

-310

-210

-110

1

10

210

)2-t (GeV0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2

)2/d

t (nb

/GeV

md

-210

-110

1

10

210

310

410

510

610

)2-t (GeV0 0.05 0.1 0.15 0.2 0.25 0.3

)2/d

t (nb

/GeV

mds

-510

-410

-310

-210

-110

1

10

210

310

1xmin

dx(x,Q2)(Q2)

g(x)dx0.

1

= 0.084@10GeV2

00.05

0.12 s

in(q

-qS)

UT /+

-0.1

0

0.1 /0

-0.05

0

0.05

10 -1 x

/-

0.4 0.6z

0.5 1Ph [GeV]

6055504540353025201510 5 0 5 10 15 20 25 30 35 40 45 50 55 603530252015105

05

1015202530354045505560657075808590

s [meter]

Horiz

onta

l [cm

]

DetectorL7.234mC0.0m

250GeV(300GeV)

! 5"

DSL4.0m

C15.3m1.32T

(1.58T)! 3"

DSL4.0m

C15.3m1.32T

(1.58T)! 8"

Q1L0.85mC4.9m! 2.5"

Q2L1.6mC7.6m! 3.5"

Q3L1.0mC9.9m! 4.5"

Q1L0.85mC4.9m! 2.5"

Q2L1.6mC7.6m! 3.5"

Q3L1.0mC9.9m! 4.5"

0mrad

3.7mrad

5mrad

10mrad

15mrad

electronprotonneutron

hadron!beam lepton!beam

SolenoidHadronic CalorimeterEM!CalorimeterRICHHigh Threshold CerenkovDIRCTracking

4T Solenoid

EM!CalorimeterTrackingDipole

!* !*

z

1-zr

k

l l

p p

!* !*

z

1-zr

k

l l

p p