Quark *) Distributions with the LHeC 1 Max Klein DESY, 7.4.2010 Meeting on QCD at the LHeC Project Scenarios Statistics Systematics Light Quarks Heavy Quarks *) For the gluon see previous talks by E. Perez at DIS07 C. Gwenlan at DIS09 Some plots old, some plots new. All is preliminary and here shown for discussion.
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Quark *) Distributions with the LHeC 1 Max Klein DESY, 7.4.2010 Meeting on QCD at the LHeC Project Scenarios Statistics Systematics Light Quarks Heavy.
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Largest energyis crucial for low xand high massesand high Q2. The LHC may set thescale for everything,perhaps.
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Rates
The HERA CCdata are restrictedto x < 0.5. There followsubstantial pdfuncertainties in the(new) HERA pdf QCDfits. High integratedluminosity is thusnecessary tounfold partonsand study dynamicsat large x and highmasses. LHeC alsoprrovides larger s:win-win for CC
Max Klein - Scenarios and Measurements 7
Kinematics – high Q2
The electron kinematics at high Q2
Is no big problem, apart from extremebackscattering at very high Q2 of electronsof a few TeV energy.Need forward elm. calorimeter of few TeV energy range down to 10o and below with reasonable calibration accuracy.
High x and high Q2: few TeV HFS scattered forward:Need forward had. calorimeter of few TeV energy range down to 10o and below. Mandatory for charged currents. Strong variations of cross section at high x demand hadronic energy calibration as good as 1%
Max Klein - Scenarios and Measurements 8
Kinematics – large x
x=Ee/Ep
Low proton beam energy: access large x.Needs high luminosity: L ~ 1/Ep
2
Nominal proton beam energy: need very fwd.angle acceptance for accessing large x
Max Klein - Scenarios and Measurements 9
Kinematics – low Q2,xNominal proton beam energy: need very bwdangle acceptance for accessing low x and Q2
Low electron beam energy: access low x.Needs only small luminosity. SPL for lowQ2 physics, however, lowest x require max s.
Detector requirements
High luminosity to reach high Q2 and large x 1033 - 1034 1-5 1031
has to be at least2 times better than the good old H1
Detector parameterswere put in simulation of NC and CC (LO) crosssections with analyticcalculation of systematic uncertainties.
NLO QCD fits to these‘data’ were performed,on pdfs by EmmanuellePerez, on alphas byThomas Kluge and onelectroweak couplings (and pdfs) by Claire Gwenlan
LHeC HERA
Detector under Design (low x, high Q2, eA)
high precision, large acceptance, LHC/ILC/HERA related, Forward tagging of p, n, d
P.Kostka, A.Pollini, R.Wallny et al, 9/09
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Valence Quarks
Charged currents (e+)
Charged currents (e-)
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Electroweak NC Cross Section Measurements
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Electroweak NC Cross Section Measurements
2 charges and2 polarisationsvery desirablefor electroweakphysics and thenew spectroscopyshould that appear.
Z effects depend on charge and polarisation.
D, x=0.2
xF3Z
Valence quarks at low x
or/and unexpected sea
asymmetries
from yZ interference
HERA I
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G2 =F2γZ=2xΣvqeq(q+qbar)
Huge PV effects inpolarisationasymmetry
Scenario C:
50*7000 GeV2
e- (P=±0.4)1fb-1
CC and NC provide accuratedetermination andseparation of valencequark distributions
d/u at large x
E.Perez
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Constraints at Low x
FL takes long(1986-2010)…
LHeC
HERASimul.
FL and F2 provide crucial information at low x strong constraint on gluon
Simulated FL Measurement at the LHeC
d/u at low x from deuterons
Note all QCD fitsassume u=d at low x
No constraintfrom HERA,Just
[some constraint from LHC (W,Z) but at 104 GeV2]
Control shadowingwith diffraction!
Tag spectator protons in eD=encollisions!
E.Perez
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Heavy Quarks
b-c-t-s
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Beauty
open: 1O
closed: 10o
box: 1 TeV
Systematic error dominates (so far 5%)
Precise measurementnear threshold andup to 105 GeV2
Beauty may becomecrucial if MSSM Higgsis found
xF3, F2bb,γZ?
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Charm
open: 1O
closed: 10o
box: 1 TeV
Systematic error dominates (so far 3%)
Precise measurementnear threshold andup to 105 GeV2
F2cc will become precision
testing ground for QCDand proton structure
xF3, F2cc,γZ? charm NC couplings
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Charm
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Charm
open: H1 ZEUS 2010
closed: LHeCusing H1pdf09 LOfor illustration
Have to make goodi.e. better and completeplots to demonstratepotential of LHeC vs HERA and vs THY
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Intrinsic Charm ??
CTEQ6 with (solid)and w/o (dashed)intrinsic charm
To access the high xregion one needsto tag charm in fwddirection and lowerthe proton beamenergy and gethigh luminosity.Worth a remark inthe CDR
Cf D0PRL 102, 192002 (2009)Thanks to Stan.
Top and Top Production at the LHeC (CC)
€
e−p →νX
€
e+p →ν X
€
W +s → c
€
W − s → c
€
W −b → t
€
W +b → t
LHeC is a single top andanti-top quark factory
with a CC cross sectionof O(10)pb
Top at HERA essentiallyimpossible to study. Singletop at Tevatron barely seenand at LHC very challenging
Strange Quark
€
W +s → c
1 fb−1
εc = 0.1
εq = 0.01
δsyst = 0.1
o−ϑ h ≥1o
• −ϑ h ≥10o
Anti-Strange Quark
€
W −sbar → cbar
1 fb−1
εc = 0.1
εq = 0.01
δsyst = 0.1
o−ϑ h ≥1o
• −ϑ h ≥10o
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Summary
The LHeC is the first DIS machine with the potentialto completely unfold the partonic structure of theproton. This should remove the assumptions inherentto QCD fits on the behaviour of the sea quarks(strange, anti-strange, up, down) and provide precisioninformation on the charm and beauty quarks aroundand much beyond threshold. The valence quarksfollow from NC and CC measurements and maybe accessed most accurately for x between 10-3 upto nearly 1.
The detector must cover a maximum range ofpolar angles, which is much helped by lowerenergy runs, electron for large θe and protonsfor small θh. For such runs (as for the FL runat HERA) the luminosity of the machine must be high.
For the CDR a coherent set of plots is requiredon the structure function measurements(HERA + LHeC) and the parton distributions.