Proton PDFs at the LHeC and FCC-eh - LAL Orsay 2018
Transcript of Proton PDFs at the LHeC and FCC-eh - LAL Orsay 2018
Proton PDFs at the LHeC and FCC-ehLAL Orsay 2018
Gavin Pownall 1,2 Claire Gwenlan 1 Max Klein 3
1University of Oxford (GB)
2Deutsches Elektronen-Synchrotron (DE)
3University of Liverpool
Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 1 / 28
1 Description of data
2 PDFs
3 αs studies
Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 2 / 28
Description of data
Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 3 / 28
LHeC Data
Data simulated by Max Klein, full description available:http://hep.ph.liv.ac.uk/∼mklein/lhecdata/
Ee/GeV Ep/TeV e Charge e Polarisation Luminosity/fb−1
60 1 -1 0 10060 7 +1 0 10060 7 -1 0.8 30060 7 -1 -0.8 1000
All datasets include neutral current (NC) and charged current(CC) interactions.Also testing data with 1/10 luminosity→ constraints on PDFsafter just one year of running. This data does not include lowenergy set.
Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 4 / 28
FCC Data
Data simulated by Max Klein, full description available:http://hep.ph.liv.ac.uk/∼mklein/fccdata/
Ee/GeV Ep/TeV e Charge e Polarisation Luminosity/fb−1
20 7 -1 0 10060 50 +1 0 10060 50 -1 0.8 30060 50 -1 -0.8 1000
All datasets include neutral current (NC) and charged current(CC) interactions.
Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 5 / 28
Kinematic plane
LHeC data to x = 10−6
FCC data to x = 10−7
LHeC higher concentration at high-x.
Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 6 / 28
LHeC data
Data provided to LO inpQCD - what we’re reallyinterested in is error.Provided data shifted toHERA PDF theory line(error retained as apercentage).Data then perturbedrandomly (gaussian dist.).
Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 7 / 28
Framework
Version 2.0.0 “Frozen Frog”
HERAPDF parameterisationansatz used:
xqi(x) = AixBi (1 − x)Ci P(n)
i (x)
Primed gluon terms removedfrom fit.
Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 8 / 28
PDFs
Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 9 / 28
LHeC Global Comparison
PDF results compared to status today.
x0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
Rat
io t
o C
T14
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
2 = 1.9 GeV2up valence distribution at Q
NNLO PDF (68% C.L.)
CT14
NNPDF3.0
MMHT2014
HERAPDF2.0_EIG
LHeC (1/10)
LHeC
x0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
Rat
io t
o C
T14
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
2 = 1.9 GeV2down valence distribution at Q
NNLO PDF (68% C.L.)
CT14
NNPDF3.0
MMHT2014
HERAPDF2.0_EIG
LHeC (1/10)
LHeC
Valence quark ratios at full and 10% luminosity.Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 10 / 28
LHeC Global Comparison
PDF results compared to status today.
x0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
Rat
io t
o C
T14
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
2 = 1.9 GeV2sea quark distribution at Q
NNLO PDF (68% C.L.)
CT14
NNPDF3.0
MMHT2014
HERAPDF2.0_EIG
LHeC (1/10)
LHeC
Sea ratios at full and 10% luminosity.
Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 11 / 28
LHeC Global Comparison
PDF results compared to status today.
x0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
)2 =
1.9
GeV
2xg
(x, Q
-410
-310
-210
-110
1
10
2 = 1.9 GeV2gluon distribution at Q
NNLO PDF (68% C.L.)
CT14
NNPDF3.0
MMHT2014
HERAPDF2.0_EIG
LHeC (1/10)
LHeC
x0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
Rat
io t
o C
T14
-2
-1
0
1
2
3
4
5
2 = 1.9 GeV2gluon distribution at Q
NNLO PDF (68% C.L.)
CT14
NNPDF3.0
MMHT2014
HERAPDF2.0_EIG
LHeC (1/10)
LHeC
Gluon linear distributions.Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 12 / 28
LHeC Global Comparison
PDF results compared to status today.
x-710 -610 -510 -410 -310 -210 -110
)2 =
1.9
GeV
2xg
(x, Q
-2
-1
0
1
2
3
4
5
6
7
2 = 1.9 GeV2gluon distribution at Q
NNLO PDF (68% C.L.)
CT14
NNPDF3.0
MMHT2014
HERAPDF2.0_EIG
LHeC (1/10)
LHeC
x-710 -610 -510 -410 -310 -210 -110
Rat
io t
o C
T14
-2
-1
0
1
2
3
4
5
6
7
2 = 1.9 GeV2gluon distribution at Q
NNLO PDF (68% C.L.)
CT14
NNPDF3.0
MMHT2014
HERAPDF2.0_EIG
LHeC (1/10)
LHeC
Gluon log-x distributions.Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 13 / 28
Direct comparison
Valence distributions at low x.
Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 14 / 28
Direct comparison
Valence distributions at high x.
Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 15 / 28
Direct comparison
u and d distributions at low x.
Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 16 / 28
Direct comparison
Gluon and strange distributions at low x.
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Does HERA make a difference any more?
LHeC with and without HERA DIS data.
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Does HERA make a difference any more?
FCC with and without HERA DIS data.
Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 19 / 28
Initial fit summary/discussion
Sea and gluon: LHeC performs better at high-x, FCC atlow-x.
Both data sets have the same luminosity.When FCC probes lower x (higher COM), it is balanced bya loss at high-x.
Valence: LHeC performs better at all x.Same argument as above.Valence quarks dominated by high-x.
HERA DIS data makes minimal difference.Most LHeC constraining power comes from first 10% ofdata.
Study dominated by systematics.
Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 20 / 28
Relaxing constraints
xuv = Auv xBuv (1 − x)Cuv
xdv = Adv xBdv (1 − x)Cdv
xu = Au x Bu (1 − x)Cu (1 + Dux)
xd = Ad xBd (1 − x)Cd
xg = Ag xBg (1 − x)Cg
xs = Asx Bs (1 − x)Cs
With constraints:Au = Ad
Bs = Bd = Bu
which ensure u = d as x → 0.Ag (momentum sum rule)
Auv , Adv (number sum rule)fs = (s + s)/(u + d) = 0.4
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Relaxing sea constraints
Free parameters Au,Bu,Bd ,Bs , fs .
d and u; strange quark.
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Comparison to full HL-LHC PDF fit
Preliminary results.HL-LHC plots: Lucian Harland-Lang, HL-LHC workshop,
CERN, June 2018
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Comparison to full HL-LHC PDF fit
Preliminary results.HL-LHC plots: Lucian Harland-Lang, HL-LHC workshop,
CERN, June 2018
Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 24 / 28
Low-x resummation
Still a work in progress...
Credit: Francesco Giuli (University of Oxford)
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αs studies
Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 26 / 28
αs scan
LHeC precision: 0.2%FCC precision: 0.5%
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What if HERA is added?
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What if HERA is added?
Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 29 / 28
Backups
Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 30 / 28
LHeC data
Data provided to LO inpQCD - what we’re reallyinterested in is error.
Provided data shifted toHERA PDF theory line(error retained as apercentage).Data then perturbedrandomly (gaussian dist.).
Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 31 / 28
LHeC data
Data provided to LO inpQCD - what we’re reallyinterested in is error.Provided data shifted toHERA PDF theory line(error retained as apercentage).
Data then perturbedrandomly (gaussian dist.).
Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 32 / 28
LHeC data
Data provided to LO inpQCD - what we’re reallyinterested in is error.Provided data shifted toHERA PDF theory line(error retained as apercentage).Data then perturbedrandomly (gaussian dist.).
Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 33 / 28
Difference made by perturbing data points...
Very little.
Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 34 / 28
Gluon constraints
xg(x) = AgxBg (1 − x)Cg − A ′gxB′g (1 − x)C′g
Add extra parameter Dg...
Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 35 / 28
Relaxing sea quarks
Free parameters Au,Bu,Bd ,Bs , fs .
u better constrained by LHeC even with relaxed parameters.d similar constraining power as previous HERA fit.
Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 36 / 28
Relaxing sea quarks
Free parameters Au,Bu,Bd ,Bs , fs .
Freeing all at once may be too brutal - more work to be done.
Gavin Pownall - [email protected] Proton PDFs at the LHeC and FCC-eh 37 / 28