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Recent Progress in Nuclear Parton Distributions
CIPANP 2018, May 29 - June 3, 2018
Pía Zurita
BNL
1/25
✦ Why nuclear PDFs?
✦ Latest set of nPDFs
✦ Future experiments
✦ Exploiting current data
✦ Summary 2/25
Outline
Once upon a time, in a land not so far away…
… people decided to do e+A collisions for fun, because a nucleus A is just Z protons and A-Z neutrons, right?
Why nuclear PDFs?
Why nuclear PDFs?
3/25
Once upon a time, in a land not so far away…
… people decided to do e+A collisions for fun, because a nucleus A is just Z protons and A-Z neutrons, right?
Why nuclear PDFs?
Why nuclear PDFs?
3/25
OK, they were SO wrong, so now:
what is affected by the nuclear environment?
a) the non-perturbative part?
b) the perturbative part?
c) both?
Why nuclear PDFs?
b) and c) are unpopular answers
(but could be right!)
4/25
*results usually shown as the ratio of the parton in nucleus to parton in proton PDF. Other depictions may be used
fAi (x, Q2) =
Zfp/Ai (x, Q2) + (A – Z)fn/Ai (x, Q2)A
The simplest proposal:
the partons know that they are not alone
introduce nuclear PDFs
use the same evolution equations
same perturbative expansion for the observables
and try to perform a global fit to the world data*
Why nuclear PDFs?
5/25
Why nuclear PDFs?
Why nPDFs if I do not care about e+A nor p+A?
neutrino initiated DIS (useful for proton PDFs)
e+d DIS (useful for proton PDFs) non QGP effects in A+A
cosmic rays
6/25
Why nuclear PDFs?
e+e– ep
eA
pp
pA AA
expectation:
Why nPDFs if I do not care about e+A nor p+A?
neutrino initiated DIS (useful for proton PDFs)
e+d DIS (useful for proton PDFs) non QGP effects in A+A
cosmic rays
6/25
Why nuclear PDFs?
reality:
Why nPDFs if I do not care about e+A nor p+A?
neutrino initiated DIS (useful for proton PDFs)
e+d DIS (useful for proton PDFs) non QGP effects in A+A
cosmic rays
e+e– ep
eA
pp
pA AA
6/25
7/25
Latest set of nPDFs
within experimental uncertainties nPDF extraction is successful:
HKM: Hirai, Kumano, Miyama, PRD64 (2001) 034003
nDS: de Florian, Sassot, PRD69 (2004) 074028 HKN: Hirai, Kumano, Nagai, PRC76 (2007) 065207
EPS09: Eskola, Paukkunen, Salgado, JHEP 0904 (2009) 065 DSSZ: de Florian, Sassot, Stratmann, PZ, PRD85 (2012) 074028
nCTEQ15: Kovarik et al., PRD93 (2016) no.8, 085037 KA15: Khanpour, Tehrani, PRD93 (2016) no.1, 014026
EPPS16: Eskola, Paakkinen, Paukkunen, Salgado, EPJ C77 (2017) no.3, 163
Latest set of nPDFs
fi/A�x,Q2
0
�� fi/p
�x,Q2
0
�RA
i
�x,Q2
0
�
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
10-4
10-3
10-2
10-1
1
antishadowing maximum
EMC minimum
small-x shadowing
x
a
x
e
y
e
y
a
y0
EPPS16
x
R
A
i
(x,Q
2 0)
yi(A) = yi(Aref)� AAref
�γ i [yi(Aref)–1]
Rvalence Ruv , Rdv
Rsea Ru, Rd, Rs
Rgluon Rgluon
Latest set of nPDFs
8/25
1
10
102
103
104
105
10-4
10-3
10-2
10-1
1
fixed target DIS and DYLHC dijetsLHC W & ZCHORUS neutrino dataPHENIX ⇡
0
x
Q
2[GeV
2 ]
EPJ C77 (2017) no.3, 163
A He Li Be C Al Ca Fe Cu Ag Sn W Pt Au Pb# points 37 168 35 232 35 66 78 19 7 159 58 7 41 869
e+A, ν+A and p(d)+A experiments 1811 data points
9/25
Latest set of nPDFs
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
R
Pb
g
(x,Q
2=10
GeV
2 )
x
EPPS16EPS09DSSZ
R
Pb
S
(x,Q
2=10
GeV
2 )
x
EPPS16EPS09DSSZ
R
Pb
V
(x,Q
2=10
GeV
2 )
x
EPPS16EPS09DSSZ
EPJ C77 (2017) no.3, 163
10/25
Latest set of nPDFs
neutron excess/non-isoscalar corrections
The valence
49u + 1
9d
�A + 3Z9A
�u +
�4A – 3Z9A
�d
proton nucleus
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
EPPS16nCTEQ15
EPPS16nCTEQ15
EPPS16nCTEQ15
EPPS16nCTEQ15
EPPS16nCTEQ15
EPPS16nCTEQ15
x x x
x x x
R
Pb
u
V(x,Q
2=10
GeV
2)
R
Pb
d
V(x,Q
2=10
GeV
2)
R
Pb
u
(x,Q
2=10
GeV
2)
R
Pb
d
(x,Q
2=10
GeV
2)
R
Pb
s
(x,Q
2=10
GeV
2)
R
Pb
g
(x,Q
2=10
GeV
2)
EPJ C77 (2017) no.3, 163
10/25
The valenceLatest set of nPDFs
11/25
The seaLatest set of nPDFs
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
R
Pb
g
(x,Q
2=10
GeV
2 )
x
EPPS16EPS09DSSZ
R
Pb
S
(x,Q
2=10
GeV
2 )
x
EPPS16EPS09DSSZ
R
Pb
V
(x,Q
2=10
GeV
2 )x
EPPS16EPS09DSSZ
EPJ C77 (2017) no.3, 163
11/25
The seaLatest set of nPDFs
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
EPPS16nCTEQ15
EPPS16nCTEQ15
EPPS16nCTEQ15
EPPS16nCTEQ15
EPPS16nCTEQ15
EPPS16nCTEQ15
x x x
x x x
R
Pb
u
V(x,Q
2=10
GeV
2 )
R
Pb
d
V(x,Q
2=10
GeV
2 )
R
Pb
u
(x,Q
2=10
GeV
2 )
R
Pb
d
(x,Q
2=10
GeV
2 )
R
Pb
s
(x,Q
2=10
GeV
2 )
R
Pb
g
(x,Q
2=10
GeV
2 )
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
EPPS16nCTEQ15
EPPS16nCTEQ15
EPPS16nCTEQ15
EPPS16nCTEQ15
EPPS16nCTEQ15
EPPS16nCTEQ15
x x x
x x x
R
Pb
u
V(x,Q
2=10
GeV
2 )
R
Pb
d
V(x,Q
2=10
GeV
2 )
R
Pb
u
(x,Q
2=10
GeV
2 )
R
Pb
d
(x,Q
2=10
GeV
2 )
R
Pb
s
(x,Q
2=10
GeV
2 )
R
Pb
g
(x,Q
2=10
GeV
2 )
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
EPPS16nCTEQ15
EPPS16nCTEQ15
EPPS16nCTEQ15
EPPS16nCTEQ15
EPPS16nCTEQ15
EPPS16nCTEQ15
x x x
x x x
R
Pb
u
V(x,Q
2=10
GeV
2)
R
Pb
d
V(x,Q
2=10
GeV
2)
R
Pb
u
(x,Q
2=10
GeV
2)
R
Pb
d
(x,Q
2=10
GeV
2)
R
Pb
s
(x,Q
2=10
GeV
2)
R
Pb
g
(x,Q
2=10
GeV
2)
EPJ C77 (2017) no.3, 163
12/25
Latest set of nPDFs
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
R
Pb
g
(x,Q
2=10
GeV
2 )
x
EPPS16EPS09DSSZ
R
Pb
S
(x,Q
2=10
GeV
2 )
x
EPPS16EPS09DSSZ
R
Pb
V
(x,Q
2=10
GeV
2 )
x
EPPS16EPS09DSSZ
EPJ C77 (2017) no.3, 163
the 😈 and 👻 gluon
12/25
Latest set of nPDFs
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
10-4
10-3
10-2
10-1
1
EPPS16nCTEQ15
EPPS16nCTEQ15
EPPS16nCTEQ15
EPPS16nCTEQ15
EPPS16nCTEQ15
EPPS16nCTEQ15
x x x
x x x
R
Pb
u
V(x,Q
2=10
GeV
2 )
R
Pb
d
V(x,Q
2=10
GeV
2 )
R
Pb
u
(x,Q
2=10
GeV
2 )
R
Pb
d
(x,Q
2=10
GeV
2 )
R
Pb
s
(x,Q
2=10
GeV
2 )
R
Pb
g
(x,Q
2=10
GeV
2 ) EPJ C77 (2017) no.3, 163
the 😈 and 👻 gluon
Future experiments
Future experiments
“data” with estimated uncertainties
impact estimations are tied to the initial parameterizations
for x < 0.001 the theoretical curves are extrapolations
mostly focused on the gluon
13/25
Electron-Ion collider
Measurements with A ≥ 56 (Fe):eA/μA DIS (E-139, E-665, EMC, NMC) JLAB-12νA DIS (CCFR, CDHSW, CHORUS, NuTeV)DY (E772, E866)DY (E906)
x10-410-5 10-3 10-2 10-1 1
Q2
(GeV
2 )104
103
102
10
1
0.1
EIC √s = 32 − 90 GeV, 0.01 ≤ y ≤
0.95
EIC √s = 15 − 40 GeV, 0.01 ≤ y ≤
0.95
perturbativenon-perturbative
x
Q2
(GeV
2 )
Current polarized DIS ep data:CERN DESY JLab-6 SLAC
Current polarized RHIC pp data:PHENIX π0 STAR 1-jet W bosons
JLab-12104
103
102
10
1
10-4 10-3 10-2 10-1 1
EIC √s = 22 − 63 GeV, 0.01 ≤ y ≤
0.95
EIC √s = 45 − 141 GeV, 0.01 ≤ y ≤
0.95
Eur.Phys.J. A52 (2016) no.9, 268
there is much more about EIC than nPDFs (duh!) visit http://www.eicug.org/ for more info
Future experiments: EIC
14/25
Aschenauer, Fazio, Lamont, Paukkunen, PZ, PRD96 (2017) no.11, 114005
)2(GeV2Q
1 10 210 310
(x)
10
)-lo
g2
(x,Q
red
σ
0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
-1x = 5.2x10
-1x = 3.2x10
-1x = 2.0x10
-1x = 1.3x10
-2x = 8.2x10
-2x = 5.2x10
-2x = 3.2x10
-2
x = 2.0x10
-2
x = 1.3x10
-3
x = 8.2x10
-3
x = 5.2x10
-3
x = 3.2x10
-3
x = 2.0x10
-3
x = 1.3x10-4
x = 8.2x10
-4
x = 5.2x10-4
x = 3.2x10
e+Au
/A-1Ldt = 10 fb∫
= 31.6 GeVs = 44.7 GeVs = 89.4 GeVs
Fe)≥World Data (A CT14NLO+EPPS16
)2(GeV2Q1 10 210 310 410
(x)/1
010
)-log
2(x
,Qre
dccσ
00.05
0.10.150.2
0.250.3
0.350.4
0.450.5
-1x = 5.2x10-1x = 3.2x10
-1x = 2.0x10
-1x = 1.3x10
-2x = 8.2x10
-2x = 5.2x10
-2x = 3.2x10
-2x = 2.0x10
-2
x = 1.3x10
-3
x = 8.2x10
-3
x = 5.2x10
-3
x = 3.2x10-3
x = 2.
0x10
-3
x = 1.
3x10-4
x = 8.
2x10-4
x = 5.
2x10
-4
x = 3.
2x10
-4
x = 2.
0x10
e+Au
/A-1Ldt = 10 fb∫
= 31.6 GeVs = 44.7 GeVs = 89.4 GeVs
CT14NLO+EPPS16
Future experiments: EIC
Inclusive and charm reduced cross-section
15/25
gPb
R
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
EPPS16* + EIC (inclusive + charm)EPPS16* + EIC (inclusive only)
EPPS16*
2 = 10 GeV2Q
= 31.6 - 89.4 GeVs
x4−10 3−10 2−10 1−10 1
Re
d.
fact
or
0
2
4
6
8
10EPPS16* + EIC (inclusive + charm)
EPPS16* + EIC (inclusive only)
gPb R
00.20.40.60.8
11.21.41.61.8
2
2 = 10 GeV2Q = 31.6 - 44.7 GeVs
x4−10 3−10 2−10 1−10 1
Red
. fac
tor
02468
10
gPb
R
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
EPPS16* + EIC (inclusive + charm)EPPS16* + EIC (inclusive only)
EPPS16*
2 = 10 GeV2Q
= 31.6 - 89.4 GeVs
x4−10 3−10 2−10 1−10 1
Re
d.
fact
or
0
2
4
6
8
10EPPS16* + EIC (inclusive + charm)
EPPS16* + EIC (inclusive only)
impact on EPPS16* nPDFs
PRD96 (2017) no.11, 114005
https://indico.fnal.gov/event/15328/session/4/contribution/15/material/slides/0.pdf
See also C. Weiss talk at “Santa Fe Jets and Heavy Flavor Workshop, 30-Jan-18”
Future experiments: EIC
16/25
Klasen, Kovarik, Potthoff, PRD95 (2017) no.9, 094013
Klasen and Kovarik, arXiv:1803.10985 [hep-ph].
Future experiments: EIC
Jets and di-jets
17/25
Future experiments: LHeC LHeC
from H. Paukkunen’s
talk in POETIC8
The LHeC Pseudodata
The neutral-current pseudodata:
0.5
0.6
0.7
0.8
0.9
1.0
1.1
Q2=2GeV
2Q
2=5GeV
2Q
2=10GeV
2Q
2=20GeV
2Q
2=50GeV
2
0.5
0.6
0.7
0.8
0.9
1.0
1.1
Q2=100GeV
2Q
2=200GeV
2Q
2=500GeV
2Q
2=1000GeV
2Q
2=2000GeV
2
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
10-6
10-4
10-2
1
Q2=5000GeV
2
10-4
10-2
1
Q2=10000GeV
2
10-4
10-2
1
Q2=20000GeV
2
10-4
10-2
1
Q2=50000GeV
2
10-4
10-2
1
Q2=100000GeV
2
LHeC pseudodata
xxxxx
Ratiosofreducedcross-sections
H. Paukkunen for the LHeC study group An update on nuclear PDFs at the LHeC
The e↵ect of LHeC pseudodata
The NC data after including NC+CC data into the analysis
0.6
0.8
1.0
1.2
Q2=2GeV
2Q
2=5GeV
2Q
2=10GeV
2Q
2=20GeV
2Q
2=50GeV
2
0.4
0.6
0.8
1.0
1.2
0.4
0.6
0.8
1.0
1.2
10-6
10-4
10-2
1
Q2=100GeV
2
10-4
10-2
1
Q2=200GeV
2
10-4
10-2
1
Q2=500GeV
2
10-4
10-2
1
Q2=1000GeV
2
10-4
10-2
1
Q2=2000GeV
2
LHeC pseudodata LHeC fit
xxxxx
Ratio
ofthereducedcross-sections
H. Paukkunen for the LHeC study group An update on nuclear PDFs at the LHeC
The e↵ect of LHeC pseudodata
The CC data after including NC+CC data into the analysis
0.6
0.8
1.0
1.2
Q2=100GeV
2Q
2=200GeV
2Q
2=500GeV
2Q
2=1000GeV
2Q
2=2000GeV
2
0.4
0.6
0.8
1.0
1.2
0.4
0.6
0.8
1.0
1.2
10-4
10-2
1
Q2=5000GeV
2
10-2
1
Q2=10000GeV
2
10-2
1
Q2=20000GeV
2
10-2
1
Q2=50000GeV
2
10-2
1
Q2=100000GeV
2
LHeC pseudodata LHeC fit
xxxxx
Ratio
ofthereducedcross-sections
H. Paukkunen for the LHeC study group An update on nuclear PDFs at the LHeC
“data” from EPS09
NC & CC
NC
CC
The LHeC Pseudodata
The neutral-current pseudodata:
0.5
0.6
0.7
0.8
0.9
1.0
1.1
Q2=2GeV
2Q
2=5GeV
2Q
2=10GeV
2Q
2=20GeV
2Q
2=50GeV
2
0.5
0.6
0.7
0.8
0.9
1.0
1.1
Q2=100GeV
2Q
2=200GeV
2Q
2=500GeV
2Q
2=1000GeV
2Q
2=2000GeV
2
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
10-6
10-4
10-2
1
Q2=5000GeV
2
10-4
10-2
1
Q2=10000GeV
2
10-4
10-2
1
Q2=20000GeV
2
10-4
10-2
1
Q2=50000GeV
2
10-4
10-2
1
Q2=100000GeV
2
LHeC pseudodata
xxxxx
Ratiosofreducedcross-sections
H. Paukkunen for the LHeC study group An update on nuclear PDFs at the LHeC
19/25
from H. Paukkunen’s talk in POETIC8
The e↵ect of LHeC pseudodata
The improvement after adding the LHeC data (Q2 = 10GeV2)
x x x
x x x
R
Pb
u
V(x,Q
2=10
GeV
2 )
R
Pb
d
V(x,Q
2=10
GeV
2 )
R
Pb
u
(x,Q
2=10
GeV
2 )
R
Pb
d
(x,Q
2=10
GeV
2 )
R
Pb
s
(x,Q
2=10
GeV
2 )
R
Pb
g
(x,Q
2=10
GeV
2 )
H. Paukkunen for the LHeC study group An update on nuclear PDFs at the LHeC
The e↵ect of LHeC pseudodata
The improvement after adding the LHeC data (Q2 = 10GeV2)
x x x
x x x
R
Pb
u
V(x,Q
2=10
GeV
2)
R
Pb
d
V(x,Q
2=10
GeV
2)
R
Pb
u
(x,Q
2=10
GeV
2)
R
Pb
d
(x,Q
2=10
GeV
2)
R
Pb
s
(x,Q
2=10
GeV
2)
R
Pb
g
(x,Q
2=10
GeV
2)
H. Paukkunen for the LHeC study group An update on nuclear PDFs at the LHeC
The e↵ect of LHeC pseudodata
The improvement after adding the LHeC data (Q2 = 10GeV2)
x x x
x x x
R
Pb
u
V(x,Q
2=10
GeV
2)
R
Pb
d
V(x,Q
2=10
GeV
2)
R
Pb
u
(x,Q
2=10
GeV
2)
R
Pb
d
(x,Q
2=10
GeV
2)
R
Pb
s
(x,Q
2=10
GeV
2)
R
Pb
g
(x,Q
2=10
GeV
2)
H. Paukkunen for the LHeC study group An update on nuclear PDFs at the LHeC
Future experiments: LHeC
20/25
Future experiments: AFTER AFTER
For more information see Ingo Schienbein’s talk:
https://indico.ectstar.eu/event/9/contributions/191/attachments/119/141/trento_160418.pdf
Proposed fixed target experiment at LHC
study the large-x parton content in nucleons/nucleistudy the dynamics and spin of gluons inside
(un)polarised nucleons/nuclei
Study heavy-ion collisions between RHIC and SPS
energies towards large rapidities
21/25
Exploiting current data
Exploiting current dataArcheology: DY in π+A
Badier, et al., Phys. Lett. B104 (1981) 335, P. Bordalo, et al., Phys. Lett.
B193 (1987) 368, J. G. Heinrich, et al., Phys. Rev. Lett. 63 (1989) 356–359.
Paakkinen, Eskola, Paukkunen, Phys.Lett. B768 (2017) 7-11
Centrality dependent data: Helenius, Eskola, Honkanen, Salgado, JHEP 1207 (2012) 073.
Paukkunen, Phys.Lett. B745 (2015) 73-78, Helenius, Paukkunen, Eskola,
Eur.Phys.J. C77 (2017) no.3, 148.
Particle production: Helenius, Eskola, Paukkunen, Nucl.Phys. A932 (2014) 415-420
https://indico.cern.ch/event/663878/contributions/2926133/attachments/
1618981/2574636/Paukkunen_POETIC8.pdf
Kusina, Lansberg, Schienbein, Shao, arXiv:1712.07024 [hep-ph] 22/25
Summary
several nPDFs sets available, comparing them is tricky
all give NICE descriptions of the data
0.7
0.8
0.9
1
1.1
1.2
F 2Ca /F 2D
EMC
NMC
E136
E665
Q2= 10 GeV2
-0.2
0
0.2
0.001 0.01 0.1 1x[R
(data)- R(theory)] / R(theory)
0.7
0.8
0.9
1
1.1
1.2
F 2Ca /F 2D
EMC
NMC
E136
E665
Q2= 10 GeV2
-0.2
0
0.2
0.001 0.01 0.1 1x[R
(data)- R(theory)] / R(theory)
0.7
0.8
0.9
1
1.1
1.2
0.001 0.01 0.1 1
x
EMCNMCE139E665
Ca
0.8
1
0.8
1
0.8
1
0.8
1
10-2
10-1
1
NMCE-139
He/D Be/D
C/D Al/D
Ca/DF 2 /FAF 2FD
Fe/D
Ag/D
xN
Au/D
10-2
10-1
1
0.8
1
0.8
1
0.8
1
0.8
1
10-2
10-1
1
NMCE-139
He/D Be/D
C/D Al/D
Ca/DF 2 /FAF 2FD
Fe/D
Ag/D
xN
Au/D
10-2
10-1
1
0.8
1
0.8
1
0.8
1
0.8
1
10-2
10-1
1
NMCE-139
He/D Be/D
C/D Al/D
Ca/DF 2 /FAF 2FD
Fe/D
Ag/D
xN
Au/D
10-2
10-1
1
0.8
1
0.8
1
0.8
1
0.8
1
10-2
10-1
1
NMCE-139
He/D Be/D
C/D Al/D
Ca/DF 2 /FAF 2FD
Fe/D
Ag/D
xN
Au/D
10-2
10-1
1
0.80.9
11.1
0.80.9
11.1
0.80.9
11.1
10-2
10-1
1
F 2 /
F AF 2F D He / D
NMC
Li / D
C / D Ca / D
C / D
EMC
Cu / D
xNSn / D
xN
0.80.9
11.1
10 -2 10 -1 1
0.80.9
11.1
0.80.9
11.1
0.80.9
11.1
10-2
10-1
1
F 2 /
F AF 2F D He / D
NMC
Li / D
C / D Ca / D
C / D
EMC
Cu / D
xNSn / D
xN
0.80.9
11.1
10 -2 10 -1 1
0.80.9
11.1
0.80.9
11.1
0.80.9
11.1
10-2
10-1
1
F 2 /
F AF 2F D He / D
NMC
Li / D
C / D Ca / D
C / D
EMC
Cu / D
xNSn / D
xN
0.80.9
11.1
10 -2 10 -1 1
0.80.9
11.1
0.80.9
11.1
0.80.9
11.1
10-2
10-1
1
F 2 /
F AF 2F D He / D
NMC
Li / D
C / D Ca / D
C / D
EMC
Cu / D
xNSn / D
xN
0.80.9
11.1
10 -2 10 -1 1
0.80.9
11.1
0.80.9
11.1
0.80.9
11.1
10-2
10-1
1
F 2 /
F AF 2F D He / D
NMC
Li / D
C / D Ca / D
C / D
EMC
Cu / D
xNSn / D
xN
0.80.9
11.1
10 -2 10 -1 1
0.001 0.01 0.1 1x
0.8
0.85
0.9
0.95
1
1.05
1.1
F 2Ca (x
,Q2 )/F
2D(x
,Q2 )
NNLO KA15E139E665EMCNMCNLO AT12NLO HKN07
40Ca2020
Q2=5 GeV2
EMC (chariot) ⇥ o↵set 0.92
EMC (addendum)
EPPS16
F
A 2(x,Q
2 )/F
D 2(x,Q
2 )
F
A 2(x,Q
2 )/F
D 2(x,Q
2 )
F
A 2(x,Q
2 )/F
Li
2(x,Q
2 )
EMC (chariot) ⇥ o↵set 0.92
EMC (addendum)
EPPS16
F
A 2(x,Q
2 )/F
D 2(x,Q
2 )
F
A 2(x,Q
2 )/F
D 2(x,Q
2 )
F
A 2(x,Q
2 )/F
Li
2(x,Q
2 )
EMC(chariot)⇥
o↵set0.92
EMC(addendum)
EPPS16
F
A
2 (x,Q2)/F
D2 (x,Q
2)
F
A
2 (x,Q2)/F
D2 (x,Q
2)
F
A
2 (x,Q2)/F
Li2 (x,Q
2)
EMC (chariot) ⇥ o↵set 0.92
EMC (addendum)
EPPS16
F
A 2(x,Q
2 )/F
D 2(x,Q
2 )
F
A 2(x,Q
2 )/F
D 2(x,Q
2 )
F
A 2(x,Q
2 )/F
Li
2(x,Q
2 )
Summary
23/25
Summary
far from the precision of proton PDFs due to the available data
future colliders have a huge potential to help us improve:
• low energy: kinematical range moderately extended, high precision data• high energy: kinematical range extended, more chances of finding new
phenomena• for charm: win-win situation!• also FL will help determine the gluon
- for DIS at an EIC:
• relevant decrease of the gluon uncertainty• higher energy c.o.m. relevant
- for jets and di-jets at an EIC:
- also great possibilities for LHeC 24/25
Summary
While we wait for new results to include:
• look for other measurements/observables (be creative!)
• improve FFs so we can use available data
• apply more refined techniques in nPDFs extractions
• joint PDFs + nPDFs + FFs + nFFs analysis?
• …
25/25
• LHC Run II • RHIC isobar run• JLAB 12
Coming soon… ish:
Comparing nuclear PDFsSET HKM nDS HKN EPS09 DSSZ nCTEQ15 KA15 EPPS16
d a t a
t y p e
e-DIS yes yes yes yes yes yes yes yes
D-Y no yes yes yes yes yes yes yes
pions no no no yes yes yes no yes
ν-DIS no no no no yes no no yes
EW no no no no no no no yes
jets no no no no no no no yes
# data points 309 420 1241 929 1579 740 1479 1811
χ2/N 1.828 0.714 1.197 0.787 0.978 0.793 1.147 0.988
Q02(GeV2) 1 0.4 1 1.69 1 1.69 2 1.69
accuracy LO NLO NLO NLO NLO NLO NNLO NLO
proton PDF MRST2001 GRV MRST98 CTEQ6.1M MSTW2008 CTEQ6.1 JR09 CT14NLO
deuteron no/yes no yes no no yes/no ? no
flavour separation? valence no no no no valence no yes
Latest set of nPDFs