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The Large Hadron electron Collider http://cern.ch/lhec Can we add ep and eA collisions to the existing LHC pp, AA and pA programme? … towards a full understanding of QCD at high temperatures, baryon and parton densities … 1 Brian Cole, Columbia University using (mostly) slides from previous talks by P. Newman and M. Klein Thursday, June 26, 14

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Page 1: The Large Hadron electron Collider - LHeClhec.web.cern.ch/sites/lhec.web.cern.ch/files/Cole.EIC_.UMpdf_.pdf · to take lepton-hadron physics to the TeV centre-of-mass scale … at

The Large Hadron electron Collider

http://cern.ch/lhec

Can we add ep and eA collisions to the existing LHC pp, AA and pA programme?

… towards a full understandingof QCD at high temperatures, baryon and parton densities …

1

Brian Cole, Columbia University using (mostly) slides from previous talks

by P. Newman and M. Klein

Thursday, June 26, 14

Page 2: The Large Hadron electron Collider - LHeClhec.web.cern.ch/sites/lhec.web.cern.ch/files/Cole.EIC_.UMpdf_.pdf · to take lepton-hadron physics to the TeV centre-of-mass scale … at

Deep Inelastic Scattering [eh ! e’X]e+e-

hh

eh !

!

!

x = Q2

syQ2 = −(k− k ')2

ylab =1−Ee 'Ee

s= 4EeEp

Parton momentum fixed by electron kinematics

Incl. NC (γ,Z) and CC (W±) independent of hadronisation

Rigorous theory: Operator expansion (lightcone)

Parton momentum distributions to be measured in DIS

Collider- HERA: yh=ye : Redundant kinematics

HERA-LHeC-FCC-eh: finest microscopeswith resolution varying like 1/√Q2

X

electromagnetic radius

Finite p Radius

Quarks

QuarkGluonDynamics

?

Stanford

SLAC

FNAL

CERN

HERA

LHeC

FCC-he

100 years of lp scattering

!

5 orders of magnitude

deeper into matter

Thursday, June 26, 14

Page 3: The Large Hadron electron Collider - LHeClhec.web.cern.ch/sites/lhec.web.cern.ch/files/Cole.EIC_.UMpdf_.pdf · to take lepton-hadron physics to the TeV centre-of-mass scale … at

DIS and HERAQ2: exchanged boson resolving power

x: fractional momentum of struck quark

30

0.2

0.4

0.6

0.8

1

-410 -310 -210 -110 10

0.2

0.4

0.6

0.8

1

HERAPDF1.5 NNLO (prel.)

exp. uncert.

model uncert. parametrization uncert.

x

xf 2 = 10 GeV2Q

vxu

vxd

0.05)×xS (

0.05)×xg (

HER

APD

F St

ruct

ure

Func

tion

Wor

king

Gro

upM

arch

201

1

H1 and ZEUS HERA I+II PDF Fit

0

0.2

0.4

0.6

0.8

1

HERA Proton parton densities in x range well matched to LHC rapidity plateau … BUT…

- Insufficient lumi for high x

- Lack of Q2 lever-arm for low x gluon

- Assumptions on quarkflavour decomposition

- No deuterons or heavy ionsThursday, June 26, 14

Page 4: The Large Hadron electron Collider - LHeClhec.web.cern.ch/sites/lhec.web.cern.ch/files/Cole.EIC_.UMpdf_.pdf · to take lepton-hadron physics to the TeV centre-of-mass scale … at

Conceptual Design Report (July 2012)

630 pages, summarising 5 year workshop commissioned by CERN, ECFA and NuPECC

~200 participants, 69 institutes

Additional material in subsequentupdates:

“A Large Hadron Electron Collider at CERN” [arXiv:1211.4831] “On the Relation of the LHeC and the LHC” [arXiv:1211.5102]

[arXiv:1206.2913]

4

Thursday, June 26, 14

Page 5: The Large Hadron electron Collider - LHeClhec.web.cern.ch/sites/lhec.web.cern.ch/files/Cole.EIC_.UMpdf_.pdf · to take lepton-hadron physics to the TeV centre-of-mass scale … at

Latest & most promising idea to take lepton-hadron physics to the TeV centre-of-mass scale… at high luminosity

Designed to exploitintense hadron beams in high luminosity phase of LHC running from mid 2020s

LHeC Context

5

Thursday, June 26, 14

Page 6: The Large Hadron electron Collider - LHeClhec.web.cern.ch/sites/lhec.web.cern.ch/files/Cole.EIC_.UMpdf_.pdf · to take lepton-hadron physics to the TeV centre-of-mass scale … at

High Q2

" HERA

LHeC

FCC-he175 GeV 60 GeV

Rutherford backscatteringof dozens of TeV e- energy

" ϑh=1o

Thursday, June 26, 14

Page 7: The Large Hadron electron Collider - LHeClhec.web.cern.ch/sites/lhec.web.cern.ch/files/Cole.EIC_.UMpdf_.pdf · to take lepton-hadron physics to the TeV centre-of-mass scale … at

Low x

ß 179o

@ 180 GeV.. very low xrequires notthe maximumof Ee

-----------

For x < 10-3 no (average) energy deposition exceeding the electron beam energy

x

HERA

LHeC

FCC-he60 GeV

Very low xreaches directrange ofUHE neutrinophysics !

Thursday, June 26, 14

Page 8: The Large Hadron electron Collider - LHeClhec.web.cern.ch/sites/lhec.web.cern.ch/files/Cole.EIC_.UMpdf_.pdf · to take lepton-hadron physics to the TeV centre-of-mass scale … at

Baseline♯ Design (Electron “Linac”)Design constraint: power consumption < 100 MW ! Ee = 60 GeV

• Two 10 GeV linacs, • 3 returns, 20 MV/m• Energy recovery insame structures[CERN plans energy recovery prototype]

• ep Lumi 1033 – 1034 cm-2 s-1

➡ 10 - 100 fb-1 per year ➡ 100 fb-1 – 1 ab-1 total • eD and eA collisions have always been integral to programme• e-nucleon Lumi estimates ~ 1031 (1032) cm-2 s-1 for eD (ePb)

Alternative designs based on electron ring and on higher energy, lower luminosity, linac also exist

8

Thursday, June 26, 14

Page 9: The Large Hadron electron Collider - LHeClhec.web.cern.ch/sites/lhec.web.cern.ch/files/Cole.EIC_.UMpdf_.pdf · to take lepton-hadron physics to the TeV centre-of-mass scale … at

Detector Overview

e p

• Forward / backward asymmetry reflecting beam energies• Present size 14m x 9m (c.f. CMS 21m x 15m, ATLAS 45m x 25m)• ZDC, proton spectrometer integral to design from outset

9

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Page 10: The Large Hadron electron Collider - LHeClhec.web.cern.ch/sites/lhec.web.cern.ch/files/Cole.EIC_.UMpdf_.pdf · to take lepton-hadron physics to the TeV centre-of-mass scale … at

DIS: Parton Microscopy

Q2: exchanged boson resolving power x: fractional momentum of struck quark

Only previously studied in collidermode and in ep at HERA (1992-2007)

Proton parton density at Q2 = 10 GeV2 from HERA data alone[HERAPDF1.5 NNLO]

… Low x saturation?10

Thursday, June 26, 14

Page 11: The Large Hadron electron Collider - LHeClhec.web.cern.ch/sites/lhec.web.cern.ch/files/Cole.EIC_.UMpdf_.pdf · to take lepton-hadron physics to the TeV centre-of-mass scale … at

LHeC Strategy for making the target blacker

Enhance target `blackness’ by: 1) Probing lower x at fixed Q2 in ep [evolution of a single source] 2) Increasing target matter in eA [overlapping many sources at fixed kinematics … density ~ A1/3 ~ 6 for Pb … worth 2 orders of magnitude in x]

LHeC delivers a 2-pronged approach:

11

… Reachingsaturatedregion in both ep & eA according tocurrent models

Thursday, June 26, 14

Page 12: The Large Hadron electron Collider - LHeClhec.web.cern.ch/sites/lhec.web.cern.ch/files/Cole.EIC_.UMpdf_.pdf · to take lepton-hadron physics to the TeV centre-of-mass scale … at

Establishing and Characterising SaturationWith 1 fb-1 (1 month at 1033 cm-2 s-1), F2 stat. < 0.1%, syst, 1-3%FL measurement to 8% with 1 year of varying Ee or Ep

• LHeC can distinguish between different QCD-based models for the onset of non-linear dynamics • Unambiguous observation of saturation will be based on tensionbetween different observables e.g. F2 v FL in ep or F2 in ep v eA

Thursday, June 26, 14

Page 13: The Large Hadron electron Collider - LHeClhec.web.cern.ch/sites/lhec.web.cern.ch/files/Cole.EIC_.UMpdf_.pdf · to take lepton-hadron physics to the TeV centre-of-mass scale … at

Exclusive / Diffractive Channels and Saturation

1) [Low-Nussinov] interpretation as 2 gluon exchange enhances sensitivity to low x gluon

1) Additional variable t gives access to impact parameter (b) dependent amplitudes

! Large t (small b) probes densest packed part of proton?

Thursday, June 26, 14

Page 14: The Large Hadron electron Collider - LHeClhec.web.cern.ch/sites/lhec.web.cern.ch/files/Cole.EIC_.UMpdf_.pdf · to take lepton-hadron physics to the TeV centre-of-mass scale … at

e.g. J/ψ Photoproductione.g. “b-Sat” Dipole model- “eikonalised”: with impact-parameter dependent saturation - “1 Pomeron”: non-saturating

• Significant non-linear effects expected in LHeC kinematic range.

• Data shown are extrapolations of HERA power law fit for Ee = 150 GeV… ! Satn smoking gun?

[2 fb-1]

Thursday, June 26, 14

Page 15: The Large Hadron electron Collider - LHeClhec.web.cern.ch/sites/lhec.web.cern.ch/files/Cole.EIC_.UMpdf_.pdf · to take lepton-hadron physics to the TeV centre-of-mass scale … at

eA

Four orders of magnitude increase in kinematic range over previous

DIS experiments.

LHeC as an Electron-ion Collider

• Revolutionise our view of the partonic structure of nuclear matter.

• Study interactions of densely packed, but weakly coupled, partons

• Ultra-clean probe ofpassage of `struck’partons through cold nuclear matter 15

Thursday, June 26, 14

Page 16: The Large Hadron electron Collider - LHeClhec.web.cern.ch/sites/lhec.web.cern.ch/files/Cole.EIC_.UMpdf_.pdf · to take lepton-hadron physics to the TeV centre-of-mass scale … at

LHeC-FCC_he: Electron Ion Collider

Precision QCD study of parton dynamics in nucleiInvestigation of high density matter and QGPGluon saturation at low x, in DIS region.

Extension of kinematic range in lAby 4-5 orders of magnitude willchange QCD view on nuclear structure and parton dynamics

May lead to genuine surprises…

- No saturation of xg (x,Q2) ?- Small fraction of diffraction ?- Broken isospin invariance ?- Flavour dependent shadowing ?

Expect saturation of rise at Q2

s ≈ xg αs ≈ c x-λA1/3

LHeC is part of NuPECCslong range plan since 2010LeN ~ 1032 cm-2 s-1

FCC-he

Thursday, June 26, 14

Page 17: The Large Hadron electron Collider - LHeClhec.web.cern.ch/sites/lhec.web.cern.ch/files/Cole.EIC_.UMpdf_.pdf · to take lepton-hadron physics to the TeV centre-of-mass scale … at

Relation to the Heavy Ion Programme

17

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Page 18: The Large Hadron electron Collider - LHeClhec.web.cern.ch/sites/lhec.web.cern.ch/files/Cole.EIC_.UMpdf_.pdf · to take lepton-hadron physics to the TeV centre-of-mass scale … at

Current Status of Nuclear Parton Densities

[Existing DIS data]

Ri = Nuclear PDF i / (A * proton PDF i)

Valence Sea Gluon

• Complex nuclear effects,not yet fully understood

• Quarks from DIS & DY• Gluon mainly from dAusingle π0 rates

• All partons poorly constrained for x < 10-2

18

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Page 19: The Large Hadron electron Collider - LHeClhec.web.cern.ch/sites/lhec.web.cern.ch/files/Cole.EIC_.UMpdf_.pdf · to take lepton-hadron physics to the TeV centre-of-mass scale … at

Complementarity of pA and eA

• New effects likely to be revealed in tensions between eA and pA, AA, ep (breakdown of factorisation)

• Detailed precision understanding likely to come from eA- LHeC offers access to lower x than is realistically achievable

in pA at the LHC- Clean final states / theoretical control to (N)NLO in QCD

eA

19

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Page 20: The Large Hadron electron Collider - LHeClhec.web.cern.ch/sites/lhec.web.cern.ch/files/Cole.EIC_.UMpdf_.pdf · to take lepton-hadron physics to the TeV centre-of-mass scale … at

Current Low x Understanding in LHC Ion DataUncertainties in low-x nuclear PDFs preclude precision statements on medium produced in AA (e.g. extent of screeningof c-cbar potential)

Inclusive J/Ψ AA data

η dependence of pPb chargedparticle spectra best describedby shadowing-only models (saturation models too steep?)… progress with pPb, but uncertainties still large, detailedsituation far from clear

Minimum Bias pA data

20

Pb pThursday, June 26, 14

Page 21: The Large Hadron electron Collider - LHeClhec.web.cern.ch/sites/lhec.web.cern.ch/files/Cole.EIC_.UMpdf_.pdf · to take lepton-hadron physics to the TeV centre-of-mass scale … at

Jet production in pA at LHC

21

[GeV]T

p

pPb

R +2.1 < y* < +2.8

ATLAS Preliminary

[GeV]T

p

pPb

R +0.8 < y* < +1.2

[GeV]T

p

pPb

R -0.3 < y* < +0.3

[GeV]T

p

pPb

R -1.2 < y* < -0.8

= 5.02 TeVNNs+Pb p=0.4R, tkanti-

[GeV]T

p

pPb

R +1.2 < y* < +2.1

+Pb, 0-90%p

EPS09 calculation

[GeV]T

p

pPb

R +0.3 < y* < +0.8

[GeV]T

p

pPb

R -0.8 < y* < -0.3

[GeV]T

p

pPb

R -2.1 < y* < -1.2

∫ -1dt = 27.8 nbpPbL

∫ -1dt = 4.0 pbppL

1.6

1.0

0.4

1.6

1.0

0.4

1.6

1.0

0.4

1.6

1.0

0.4

pPb

R

40 100 1000 40 100 1000 [GeV]

Tp

• Ratio of inclusive p+Pb jet yields to scaled p-p jet cross-sections

• Compared to NLO calculations by Armesto using EPS09 PDFs

• Good (but not perfect) agreement -- nPDF effects are small

Thursday, June 26, 14

Page 22: The Large Hadron electron Collider - LHeClhec.web.cern.ch/sites/lhec.web.cern.ch/files/Cole.EIC_.UMpdf_.pdf · to take lepton-hadron physics to the TeV centre-of-mass scale … at

Jet production in p+A at LHC

22

• But ratios of jet cross-sections between high- and low-multiplicity events show unexpected behavior at high pT, forward rapidities

[GeV]T

p

CP

R +3.6 < y* < +4.4

ATLASPreliminary

[GeV]T

p

CP

R +2.1 < y* < +2.8

[GeV]T

p

CP

R +0.8 < y* < +1.2

[GeV]T

p

CP

R -0.3 < y* < +0.3

[GeV]T

p

CP

R -1.2 < y* < -0.8

∫ -1dt = 27.8 nbL = 5.02 TeVNNs+Pb p

=0.4R, tkanti-

[GeV]T

pC

P R +2.8 < y* < +3.6

[GeV]T

p

CP

R +1.2 < y* < +2.1

[GeV]T

p

CP

R +0.3 < y* < +0.8

[GeV]T

p

CP

R -0.8 < y* < -0.3

[GeV]T

p

CP

R -2.1 < y* < -1.2

0-10%/60-90%

20-30%/60-90%

40-60%/60-90%

1.4

1.0

0.4

1.4

1.0

0.4

1.4

1.0

0.4

1.4

1.0

0.4

1.4

1.0

0.4

CP

R

20 100 800 20 100 800 [GeV]

Tp

Thursday, June 26, 14

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Jet production in p+A at LHC

23

• But ratios of jet cross-sections between high- and low-multiplicity events show unexpected behavior at high pT, forward rapidities• Scales with jet energy (x?) at forward rapidities.

[GeV]T

p

CP

R +3.6 < y* < +4.4

ATLASPreliminary

[GeV]T

p

CP

R +2.1 < y* < +2.8

[GeV]T

p

CP

R +0.8 < y* < +1.2

[GeV]T

p

CP

R -0.3 < y* < +0.3

[GeV]T

p

CP

R -1.2 < y* < -0.8

∫ -1dt = 27.8 nbL = 5.02 TeVNNs+Pb p

=0.4R, tkanti-

[GeV]T

pC

P R +2.8 < y* < +3.6

[GeV]T

p

CP

R +1.2 < y* < +2.1

[GeV]T

p

CP

R +0.3 < y* < +0.8

[GeV]T

p

CP

R -0.8 < y* < -0.3

[GeV]T

p

CP

R -2.1 < y* < -1.2

0-10%/60-90%

20-30%/60-90%

40-60%/60-90%

1.4

1.0

0.4

1.4

1.0

0.4

1.4

1.0

0.4

1.4

1.0

0.4

1.4

1.0

0.4

CP

R

20 100 800 20 100 800 [GeV]

Tp

∫ -1dt = 27.8 nbL = 5.02 TeVNNs+Pb p

0-10%

=0.4R, tkanti-

ATLASPreliminary

+3.6 < y* < +4.4+2.8 < y* < +3.6+2.1 < y* < +2.8+1.2 < y* < +2.1+0.8 < y* < +1.2

+0.3 < y* < +0.8-0.3 < y* < +0.3-0.8 < y* < -0.3-1.2 < y* < -0.8-2.1 < y* < -1.2

1.4

1.0

0.4

CP

R

40 100 1000 40 100 1000 cosh(<y*>) [GeV]×

Tp

∫ -1dt = 27.8 nbL = 5.02 TeVNNs+Pb p

0-10%

=0.4R, tkanti-

ATLASPreliminary

+3.6 < y* < +4.4+2.8 < y* < +3.6+2.1 < y* < +2.8+1.2 < y* < +2.1+0.8 < y* < +1.2

+0.3 < y* < +0.8-0.3 < y* < +0.3-0.8 < y* < -0.3-1.2 < y* < -0.8-2.1 < y* < -1.2

1.4

1.0

0.4

CP

R

40 100 1000 40 100 1000 cosh(<y*>) [GeV]×

Tp

Thursday, June 26, 14

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Jet production in p+A at LHC

24

• Correlation between hard and soft production indicates breakdown of factorization• Likely due to correlation between parton x and proton configuration/size➡ need e+p measurements

[GeV]T

p

CP

R +3.6 < y* < +4.4

ATLASPreliminary

[GeV]T

p

CP

R +2.1 < y* < +2.8

[GeV]T

p

CP

R +0.8 < y* < +1.2

[GeV]T

p

CP

R -0.3 < y* < +0.3

[GeV]T

p

CP

R -1.2 < y* < -0.8

∫ -1dt = 27.8 nbL = 5.02 TeVNNs+Pb p

=0.4R, tkanti-

[GeV]T

pC

P R +2.8 < y* < +3.6

[GeV]T

p

CP

R +1.2 < y* < +2.1

[GeV]T

p

CP

R +0.3 < y* < +0.8

[GeV]T

p

CP

R -0.8 < y* < -0.3

[GeV]T

p

CP

R -2.1 < y* < -1.2

0-10%/60-90%

20-30%/60-90%

40-60%/60-90%

1.4

1.0

0.4

1.4

1.0

0.4

1.4

1.0

0.4

1.4

1.0

0.4

1.4

1.0

0.4

CP

R

20 100 800 20 100 800 [GeV]

Tp

∫ -1dt = 27.8 nbL = 5.02 TeVNNs+Pb p

0-10%

=0.4R, tkanti-

ATLASPreliminary

+3.6 < y* < +4.4+2.8 < y* < +3.6+2.1 < y* < +2.8+1.2 < y* < +2.1+0.8 < y* < +1.2

+0.3 < y* < +0.8-0.3 < y* < +0.3-0.8 < y* < -0.3-1.2 < y* < -0.8-2.1 < y* < -1.2

1.4

1.0

0.4

CP

R

40 100 1000 40 100 1000 cosh(<y*>) [GeV]×

Tp

∫ -1dt = 27.8 nbL = 5.02 TeVNNs+Pb p

0-10%

=0.4R, tkanti-

ATLASPreliminary

+3.6 < y* < +4.4+2.8 < y* < +3.6+2.1 < y* < +2.8+1.2 < y* < +2.1+0.8 < y* < +1.2

+0.3 < y* < +0.8-0.3 < y* < +0.3-0.8 < y* < -0.3-1.2 < y* < -0.8-2.1 < y* < -1.2

1.4

1.0

0.4

CP

R

40 100 1000 40 100 1000 cosh(<y*>) [GeV]×

Tp

Thursday, June 26, 14

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p+Pb charged particle RpPb

• Puzzle from the Hard Probes 2013 conference:– CMS observes unexpected enhancement in high-pT charged

particle yield in p+Pb relative to p+p– Seen by ATLAS, not by ALICE

• Origin?– If the effect is real, likely due to poorly understood interplay

between nPDF modifications & FF. 25

[GeV/c]T

p1 10 210

pPb

R

0

0.2

0.4

0.60.8

1

1.2

1.4

1.6

1.82

|<1 CMηCMS Charged Particles |

y=00πEPS09 fDSS NLO

=6.9collN

CMS Preliminary = 5.02 TeVNNspPb

Helenius et.al, JHEP 1207 (2012) 073

[GeV]T

p10

210

pPb

R

0.8

1

1.2

1.4

1.6

1.8

2

2.2 PreliminaryATLAS

-1=25 nbint

p+Pb L=5.02 TeV

NNs

0-90%

-1<y*<1

Inclusive charged particle production in p+A at LHC

Thursday, June 26, 14

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Further Surprises from pA Data• “Ridge” observed in high multiplicity pPb collisions - due to saturation?

26

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Further Surprises from pA Data• “Ridge” observed in high multiplicity pPb collisions - due to saturation? • Or due to collective dynamics similar to that observed in Pb+Pb?

27

Thursday, June 26, 14

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Further Surprises from pA Data• “Ridge” observed in high multiplicity pPb collisions - due to saturation? • Or due to collective dynamics similar to that observed in Pb+Pb?

• Data suggest the latter

• My prediction: we will observe effects of strong coupling in e+p/A final states and can study with more control than in p+A

28

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• Simulated LHeC ePb F2 measurementhas huge impact on uncertainties

• Most striking effect for sea & gluons

• High x gluon uncertainty still large

Impact of eA F2 LHeC data

Valence

Sea

Glue [Example pseudo-datafrom single Q2 Value]

[Effects on EPS09nPDF fit] 29

Thursday, June 26, 14

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Exclusive Diffraction in eAExperimentally clear signatures and theoretically cleanly calculable saturation effects in coherent diffraction case (eA ! eVA)

Experimentalseparation ofincoherent diffraction based mainlyon ZDC… potential saturation smoking gun?30

Thursday, June 26, 14

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In-medium radiation and hadronisation effects

Ratio of π0 fragn functions Pb / p (Armesto et al.)

ν= struck parton energy in target rest frame

Small ν: Hadron formationmay be inside. Hadronic energy loss

Large ν: Hadronisation beyond medium. Partonic energy loss

How do virtual parton probes lose Virtuality and colour to hadronise?

31LHeC most sensitive to partonic loss. ! Baseline `cold matter’ input to use energy loss mechanisms to characterise QGP Thursday, June 26, 14

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Some other LHeC eA Studies …

Impact of eA charm &beauty data

Forward π0

production &fragmentation

Jet photoproduction

Inclusive ep diffractionv nuclearshadowing

Many more processes and observables still to be investigated

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Summary / Outlook

•Many reasons that new, high-luminosity e+p and e+A measurements are needed.

• LHeC is high-energy option complementary to EIC- 3-4 orders of magnitude in nPDF kinematic range

- New non-linear QCD dynamics of low x parton saturation? - Valuable input for heavy ion physics program at LHC

• Conceptual Design Report available.

• Ongoing work … - Further physics motivation - Detector / simulation, - Superconducting RF, ERL, machine

• Timeline?... Optimal impact by running in High Lumi LHC Phase

[More at http://cern.ch/lhec]

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Herwig Schopper (Chair IAC) at Chavannes in the Panel Discussion with the CERN Directorate

Clarification and Tradition

Thursday, June 26, 14

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Summary of the LHeC Physics ProgrammeCDR, arXiv:1211.4831 and 1211.5102 http://cern.ch/lhec

New since CDR: Higgs discovered, 1033 !1034, and the FCC horizon – much to do

Truth is stranger than fiction, but it is because fiction is obliged to stick to possibilitiesMark Twain, cited by Stan Brodsky at Chavannes

Thursday, June 26, 14

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… with thanks to Nestor Armesto, Max Klein, Anna Stasto and many experimentalist, theorist & accelerator scientist colleagues …

LHeC study group …

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