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EIC SIDIS simulation study at Duke EIC Yellow Report SIDIS working group meeting Duke University Xiaqing Li April 6 2020 0

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EIC SIDIS simulation study at Duke

EIC Yellow Report SIDIS working group meetingDuke University

Xiaqing LiApril 6 2020

0

SIDIS @ EIC requirements• A variable – low to moderately high – center of mass energy (Ecm)• Kinematic coverage: from JLab 12 GeV (also HERMES & COMPASS) valence

quark region to EIC sea quark/gluon region• High luminosity• Extractions of TMDs rely on high-precision multidimensional bins

• Factorization, transition from low-Pt to high-Pt• Q2 evolution• Model dependence• …

• High statistics allow to reduce certain systematic uncertainties (radiative corrections, model dependence, etc.)

• Simulations conducted with various Ecm values and high luminosity

1

Overview of the simulation parameters

• SIDIS event generator: updated version of the SoLID SIDIS generator• Integrated luminosity: 1×10!" 𝑐𝑚#$ (100 𝑓𝑏#")• Cuts applied:

• 0.05 < y < 0.8• W > 2.3 GeV• Mx > 1.6 GeV• 0.7 GeV < Ph < 10 GeV• Pe > 0.7 GeV• 2.5° < θe < 150°

• Polarization of proton beam = 80%• Combined detection efficiency = 50%

2

3

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5)2

(GeV

2Q

1

10

210

x-310 -210 -110 1

< 0.2 GeVT0.0 GeV < P0.35 < z < 0.40

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

< 0.6 GeVT0.4 GeV < P

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

< 1.0 GeVT0.8 GeV < P

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

0.45 < z < 0.50

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

= 20 GeV)s4 + 25 GeV (

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

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x-310 -210 -110 1

HERMES 2010 (Collins)COMPASS 2014 (Collins)

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

0.55 < z < 0.60

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

11 GeV SoLID8.8 GeV SoLID

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

+ pA

sym

met

ery

-0.1

0

0.10.65 < z < 0.70

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

+ pA

sym

met

ery

-0.1

0

0.1

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

+ pA

sym

met

ery

-0.1

0

0.1

EIC SIDIS statistical projections on single spin asymmetry of π+

4

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5)2

(GeV

2Q

1

10

210

x-310 -210 -110 1

< 0.2 GeVT0.0 GeV < P0.35 < z < 0.40

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

< 0.6 GeVT0.4 GeV < P

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

< 1.0 GeVT0.8 GeV < P

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

0.45 < z < 0.50

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

= 105 GeV)s10 + 275 GeV (

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

HERMES 2010 (Collins)COMPASS 2014 (Collins)

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

0.55 < z < 0.60

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

11 GeV SoLID8.8 GeV SoLID

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

+ pA

sym

met

ery

-0.1

0

0.10.65 < z < 0.70

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

+ pA

sym

met

ery

-0.1

0

0.1

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

+ pA

sym

met

ery

-0.1

0

0.1

EIC SIDIS statistical projections on single spin asymmetry of π+

5

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5)2

(GeV

2Q

1

10

210

x-310 -210 -110 1

< 0.2 GeVT0.0 GeV < P0.35 < z < 0.40

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

< 0.6 GeVT0.4 GeV < P

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

< 1.0 GeVT0.8 GeV < P

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

0.45 < z < 0.50

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

= 75 GeV)s11 + 128 GeV ( = 105 GeV)s10 + 275 GeV (

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

HERMES 2010 (Collins)COMPASS 2014 (Collins)

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

0.55 < z < 0.60

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

11 GeV SoLID8.8 GeV SoLID

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

+ pA

sym

met

ery

-0.1

0

0.10.65 < z < 0.70

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

+ pA

sym

met

ery

-0.1

0

0.1

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

+ pA

sym

met

ery

-0.1

0

0.1

EIC SIDIS statistical projections on single spin asymmetry of π+

6

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5)2

(GeV

2Q

1

10

210

x-310 -210 -110 1

< 0.2 GeVT0.0 GeV < P0.35 < z < 0.40

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

< 0.6 GeVT0.4 GeV < P

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

< 1.0 GeVT0.8 GeV < P

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

0.45 < z < 0.50

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

= 20 GeV)s4 + 25 GeV ( = 51 GeV)s11 + 60 GeV (

= 75 GeV)s11 + 128 GeV (

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

HERMES 2010 (Collins)COMPASS 2014 (Collins)

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

0.55 < z < 0.60

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

11 GeV SoLID8.8 GeV SoLID

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

+ pA

sym

met

ery

-0.1

0

0.10.65 < z < 0.70

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

+ pA

sym

met

ery

-0.1

0

0.1

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

+ pA

sym

met

ery

-0.1

0

0.1

EIC SIDIS statistical projections on single spin asymmetry of π+

7

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5)2

(GeV

2Q

1

10

210

x-310 -210 -110 1

< 0.2 GeVT0.0 GeV < P0.35 < z < 0.40

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

< 0.6 GeVT0.4 GeV < P

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

< 1.0 GeVT0.8 GeV < P

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

0.45 < z < 0.50

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

= 51 GeV)s6 + 110 GeV ( = 51 GeV)s11 + 60 GeV ( = 51 GeV)s12 + 55 GeV (

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

0.55 < z < 0.60

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

-3 -2.5 -2 -1.5 -1 -0.5 0

0

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1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

+ pA

sym

met

ery

-0.1

0

0.10.65 < z < 0.70

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

+ pA

sym

met

ery

-0.1

0

0.1

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

+ pA

sym

met

ery

-0.1

0

0.1

Comparison of different (Ee + Ep) configurations for Ecm = 51 GeV

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5)2

(GeV

2Q

1

10

210

x-310 -210 -110 1

< 0.2 GeVT0.0 GeV < P0.35 < z < 0.40

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

< 0.6 GeVT0.4 GeV < P

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

< 1.0 GeVT0.8 GeV < P

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

0.45 < z < 0.50

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

= 51 GeV)s6 + 110 GeV ( = 51 GeV)s12 + 55 GeV (

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

0.55 < z < 0.60

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

+ pA

sym

met

ery

-0.1

0

0.10.65 < z < 0.70

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

+ pA

sym

met

ery

-0.1

0

0.1

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

+ pA

sym

met

ery

-0.1

0

0.1

8

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5)2

(GeV

2Q

1

10

210

x-310 -210 -110 1

< 0.2 GeVT0.0 GeV < P0.35 < z < 0.40

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

< 0.6 GeVT0.4 GeV < P

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

< 1.0 GeVT0.8 GeV < P

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

0.45 < z < 0.50

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

= 75 GeV)s8 + 176 GeV ( = 75 GeV)s11 + 128 GeV (

= 75 GeV)s16 + 88 GeV (

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

0.55 < z < 0.60

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

+ pA

sym

met

ery

-0.1

0

0.10.65 < z < 0.70

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

+ pA

sym

met

ery

-0.1

0

0.1

-3 -2.5 -2 -1.5 -1 -0.5 0

0

0.5

1

1.5

2

2.5

)2 (G

eV2

Q

1

10

210

x-310 -210 -110 1

+ pA

sym

met

ery

-0.1

0

0.1

Comparison of different (Ee + Ep) configurations for Ecm = 75 GeV

9

Takeaway: the low Ecm curve for luminosity is highly favored for the EIC SIDIS study

0.01

0.1

1

10

100

0 40 80 120

Spin and Flavor Structure of the Nucleon and Nuclei

QCD at Extreme Parton Densities-

Saturation

Tomography (p/A)100

10

1

Center of Mass Energy Ecm [GeV]

Peak

Lum

inos

ity [c

m-2

s-1]

Annu

al In

tegr

ated

Lum

inos

ity [f

b-1 ]

1034

1033

1032

EICOptimization for high Ecm

Internal Landscape of the Nucleus

EICOptimization for low Ecm

150

Figure from F. Willeke’s slides at EICUG Temple Meeting, Mar 18, 2020

Important for SIDIS