Lepton-hadron collider for the 2020s, based on the high lumi LHC Can we add ep and ea collisions to the existing LHC pp, AA and pa programme?

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Paul Newman Birmingham University Jammu, 8 September 2013 http://cern.ch/lhec Lepton-hadron collider for the 2020s, based on the high lumi LHC Can we add ep and ea collisions to the existing LHC pp, AA and pa programme? 1

630 pages, summarising 5 year workshop commissioned by CERN, ECFA and NuPECC [arxiv:1206.2913] ~200 participants, 69 institutes Additional material in subsequent updates: A Large Hadron Electron Collider at CERN [arxiv:1211.4831] On the Relation of the LHeC and the LHC [arxiv:1211.5102] 2

Q 2 : exchanged boson resolving power xf x: fractional momentum of struck quark 1 0.8 0.6 0.4 0.2 0 10-4 H1 and ZEUS HERA I+II PDF Fit xg ( 0.05) xs ( 0.05) -3 10 HERAPDF1.5 NNLO (prel.) exp. uncert. model uncert. parametrization uncert. -2 10 2 2 Q = 10 GeV xu v xd v -1 10 1 x HERAPDF Structure Function Working Group March 2011 HERA Proton parton densities in x range well matched to LHC rapidity plateau BUT - Insufficient lumi for high x - Lack of Q 2 lever-arm for low x gluon - Assumptions on quark flavour decomposition - No deuterons or heavy ions 3

Current uncertainties due to PDFs for particles on LHC rapidity plateau (NLO): - Most precise for quark initiated processes around EW scale - Gluon initiated processes less well known - All uncertainties explode for largest masses 4

- LHeC is latest & most promising idea to take leptonhadron physics to the TeV centre of mass scale - High luminosity: 10 33-10 34 cm -2 s -1 - Runs simultaneous with ATLAS / CMS in post-ls3 HL-LHC period 5

Design constraint: power consumption < 100 MW E e = 60 GeV Two 10 GeV linacs, 3 returns, 20 MV/m Energy recovery in same structures [CERN plans energy recovery prototype] 6

7

Access to Q 2 =1 GeV 2 in ep mode for all x > 5 x 10-7 requires scattered electron acceptance to 179 o Similarly, need 1 o acceptance in outgoing proton direction to contain hadrons at high x (essential for good kinematic reconstruction)

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

In the absence of a detailed simulation set-up, simulated `pseudo-data produced with reasonable assumptions on systematics (typically 2x better than H1 and ZEUS at HERA).

PDF Constraints at LHeC Full simulation of inclusive NC and CC DIS data, including systematics NLO DGLAP fit using HERA technology Gluon Sea impact at low x (kinematic range) and high x (luminosity) precise light quark vector, axial couplings, weak mixing angle full flavour decomposition d valence 11

PRL 77 (1996) 438 Ancient history (HERA, Tevatron) - Apparent excess in large E T jets at Tevatron turned out to be explained by too low high x gluon density in PDF sets - Confirmation of (non-resonant) new physics near LHC kinematic limit relies on breakdown of factorisation between ep and pp Searches near LHC kinematic boundary may ultimately be limited by knowledge of PDFs (especially gluon as x 1) 12

- Signature is excess @ large invariant mass - Expected SM background (e.g. gg gg) poorly known for s-hat > 1 TeV. - Both signal & background uncertainties driven by error on gluon density Essentially unknown for masses much beyond 2 TeV - Similar conclusions for other non-resonant LHC signals involving high x partons (e.g. contact interactions signal in Drell-Yan) 13

Theory Cross Section Uncertainties (125 GeV Higgs J Campbell, ICHEP 12) Projected Experimental Uncertainties Similarly fermionic modes (bbbar, ccbar) tests of Standard Model in Higgs sector may become limited by knowledge of PDFs in HL-LHC era [Dashed regions = scale & PDF contributions 14

A Direct Higgs Study Dominant charged current process has similar cross section to linear e+e- collider Study of H bbbar in generic simulated LHC detector m H = 120 GeV, LHeC with 10fb -1 + 90% lepton polarisation enhances signal by factor 1.9 + With 10 34 luminosity, x10 more data ~5000 events @ Ee = 60 GeV H bbbar coupling to ~ 1%.

The (pp) LHC has much better discovery potential than LHeC (unless E e increases to >~500 GeV and 10 34 lumi achieved) e.g. Expected quark compositeness limits below 10-19 m at LHeC big improvement on HERA, but already beaten by LHC LHeC is competitive with LHC in cases where initial state lepton is an advantage and offers cleaner final states e q χ 0 ~ e ~ q

Cross Sections and Rates for Heavy Flavours HERA 27.5 x 920 Charm [10 10 / 10 fb -1 ] Beauty cc sw c bw t ttbar [10 8 / 10 fb -1 ] [4.10 5 / 10 fb -1 ] [10 5 / 10 fb -1 ] [10 3 / 10 fb -1 ] c.f. luminosity of ~10 fb -1 per year

[HERAPDF 1.6 NNLO] Somewhere & somehow, the low x growth of cross sections must be tamed to satisfy unitarity non-linear effects new high density, small coupling parton regime of non-linear parton evolution dynamics (e.g. Colour Glass Condensate)? gluon dynamics confinement and hadronic mass generation

LHeC delivers a 2-pronged approach: Enhance target `blackness by: 1) Probing lower x at fixed Q 2 in ep [evolution of a single source] 2) Increasing target matter in ea [overlapping many sources at fixed kinematics density ~ A 1/3 ~ 6 for Pb worth 2 orders of magnitude in x] Reaching saturated region in both ep & ea according to current models 19

With 1 fb -1 (1 month at 10 33 cm -2 s -1 ), F 2 stat. < 0.1%, syst, 1-3% F L measurement to 8% with 1 year of varying E e or E p LHeC can distinguish between different QCD-based models for the onset of non-linear dynamics Unambiguous observation of saturation will be based on tension between different observables e.g. F 2 v F L in ep or F 2 in ep v ea

1) [Low-Nussinov] interpretation as 2 gluon exchange enhances sensitivity to low x gluon 2) Additional variable t gives access to impact parameter (b) dependent amplitudes Large t (small b) probes densest packed part of proton?

e.g. b-sat Dipole model - eikonalised : with impact-parameter dependent saturation - 1 Pomeron : non-saturating Significant non-linear effects expected in LHeC kinematic range. [2 fb -1 ] Data shown are extrapolations of HERA power law fit for E e = 150 GeV Sat n smoking gun?

Four orders of magnitude increase in kinematic range over previous DIS experiments. ea Revolutionise our view of the partonic structure of nuclear matter. Study interactions of densely packed, but weakly coupled, partons Ultra-clean probe of passage of `struck partons through cold nuclear matter 23

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Complex nuclear effects, not yet fully understood [Existing DIS data] Quarks from DIS & DY Gluon mainly from dau single π 0 rates All partons poorly constrained for x < 10-2 R i = Nuclear PDF i / (A * proton PDF i) Valence Sea Gluon 25

Inclusive J/Ψ AA data Uncertainties in low-x nuclear PDFs preclude precision statements on medium produced in AA (e.g. extent of screening of c-cbar potential) Minimum Bias pa data η dependence of ppb charged particle spectra best described by shadowing-only models (saturation models too steep?) progress with ppb, but uncertainties still large, detailed situation far from clear Pb 26 p

Simulated LHeC epb F 2 measurement has huge impact on uncertainties Most striking effect for sea & gluons High x gluon uncertainty still large Valence Sea Glue [Example pseudo-data from single Q 2 Value] [Effects on EPS09 npdf 27 fit]

LHC is new world for p-p physics (even more for heavy ion) physics Conceptual Design Report available. Timeline?... Optimal impact by running in High Lumi LHC Phase Ongoing work - Physics motivation - Detector / simulation - Superconducting RF, ERL, machine More at: - http://cern.ch/lhec - CDR [arxiv:1206.2913] - `Dig Deeper, Newman & Stasto, Nature Physics 9 (2013) 448 28

with thanks to Nestor Armesto, Max Klein, Anna Stasto and many experimentalist, theorist & accelerator scientist colleagues LHeC study group 29