Crab waist interaction region for FCC-ee and the arc first attempt - - PowerPoint PPT Presentation

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Crab waist interaction region for FCC-ee and the arc first attempt - - PowerPoint PPT Presentation

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Crab waist interaction region for FCC-ee and the arc first attempt (one quarter of the ring IR: v. 6-13-2, arc: v14) A. Bogomyagkov Budker Institute of Nuclear Physics Novosibirsk November-December, 2014 A. Bogomyagkov (BINP) FCC-ee crab

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SLIDE 1

Crab waist interaction region for FCC-ee and the arc first attempt (one quarter of the ring IR: v. 6-13-2, arc: v14)

  • A. Bogomyagkov

Budker Institute of Nuclear Physics Novosibirsk

November-December, 2014

  • A. Bogomyagkov (BINP)

FCC-ee crab waist IR and the arc 1 / 22

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SLIDE 2

Parameters for crab waist

Z W H tt Energy [GeV] 45 80 120 175 Perimeter [km] 100 Crossing angle [mrad] 30 Particles per bunch [1011] 1 4 4.7 4 Number of bunches 29791 739 127 33 Energy spread [10−3] 1.1 2.1 2.4 2.6 Emittance hor. [nm] 0.14 0.44 1 2.1 Emittance ver. [pm] 1 2 2 4.3 β∗

x/β∗ y [m]

0.5 / 0.001 Luminosity / IP [1034 cm−2s−1] 212 36 9 1.3 Energy loss / turn [GeV] 0.03 0.3 1.7 7.7

  • A. Bogomyagkov (BINP)

FCC-ee crab waist IR and the arc 2 / 22

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SLIDE 3

Final Focus layout

S, m 1 2 3 4 5 6 7 8 X, m

  • 0.15
  • 0.1
  • 0.05

0.05 0.1 0.15

σ Trajectories at 20

  • e

+

e

° 10 ° 15 ° 20 x=3.5 cm, E=175000 MeV ∆ G0=-9.4 kGs/cm, R0=1.2 cm, =30 mrad θ x=14.2 cm, 2 ∆ G1=9.3 kGs/cm, R1=1.9 cm,

S, m 1 2 3 4 5 6 7 8 Y, m

  • 0.02
  • 0.015
  • 0.01
  • 0.005

0.005 0.01 0.015 0.02

σ Trajectories at 55

Rectangles represent bare apertures. L [m] Q0 3.6 Q1 2 R [m] Q0 0.012 Q1 0.019

  • A. Bogomyagkov (BINP)

FCC-ee crab waist IR and the arc 3 / 22

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SLIDE 4

Final Focus layout: sketch of solenoids

S, m 1 2 3 4 5 6 7 8 X, m

  • 0.2
  • 0.15
  • 0.1
  • 0.05

0.05 0.1 0.15 0.2

σ Trajectories at 20

  • e

+

e

° 10 ° 15 ° 20 x=3.5 cm, E= 175 GeV ∆ G0=-9.4 kGs/cm, R0=1.2 cm, =30 mrad θ x=14.2 cm, 2 ∆ G1=9.3 kGs/cm, R1=1.9 cm, H=2 T H=1 T H=1 T

  • A. Bogomyagkov (BINP)

FCC-ee crab waist IR and the arc 4 / 22

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SLIDE 5

Interaction Region optical functions

0.0 140. 280. 420. 560. 700.

s (m)

0.0 10. 20. 30. 40. 50. 60. 70. 80. 90. 100.

β

x 1/ 2 (m 1/ 2), βy 1/ 2 (m 1/ 2)

  • 0.12
  • 0.10
  • 0.08
  • 0.05
  • 0.02

0.0 0.03 0.05 0.08 0.10 0.12 0.15

D

x (m)

β x

1 / 2

β y

1 / 2

Dx

FFT CCSY CCSX+CCT CRAB AB+MS

  • A. Bogomyagkov (BINP)

FCC-ee crab waist IR and the arc 5 / 22

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SLIDE 6

Final Focus Telescope

0.0 10. 20. 30. 40. 50.

s (m)

0.0 20. 40. 60. 80. 100. 120.

β

1/ 2 (m 1/ 2)

0.0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10

Dx (m)

β x

1 / 2

β y

1 / 2

Dx

B0 B1

  • A. Bogomyagkov (BINP)

FCC-ee crab waist IR and the arc 6 / 22

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SLIDE 7

Final Focus Telescope: beta chromaticity

  • 0.020
  • 0.005

0.010

dp

  • 0.5

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5

∆β/β

0.0 500. 1000. 1500. 2000. 2500. 3000. 3500. 4000. 4500. 5000. 5500. 6000.

∆β/β

∆β /β

x x

∆β /β

y y

  • A. Bogomyagkov (BINP)

FCC-ee crab waist IR and the arc 7 / 22

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SLIDE 8

Y Chromaticity Correction Section

40. 60. 80. 100. 120. 140.

s (m)

0.0 1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

β (m) [*10**( 3)]

0.04 0.05 0.06 0.07 0.08 0.09 0.10 0.11 0.12 0.13 0.14

Dx (m)

β x β y Dx

B2 B3 B4

  • A. Bogomyagkov (BINP)

FCC-ee crab waist IR and the arc 8 / 22

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SLIDE 9

X Chromaticity Correction Section

140. 180. 220. 260. 300.

s (m)

0.0 50. 100. 150. 200. 250. 300. 350. 400. 450. 500.

β (m)

  • 0.13
  • 0.10
  • 0.08
  • 0.05
  • 0.02

0.0 0.03 0.05 0.08 0.10

Dx (m)

β x β y Dx

B5 B6 B7 B8

  • A. Bogomyagkov (BINP)

FCC-ee crab waist IR and the arc 9 / 22

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SLIDE 10

Chromaticity Correction Telescope

310. 320. 330. 340. 350. 360.

s (m)

0.0 32.5 65.0 97.5 130.0 162.5 195.0 227.5 260.0 292.5 325.0

β (m)

  • 0.12
  • 0.11
  • 0.10
  • 0.09
  • 0.08
  • 0.07
  • 0.06
  • 0.05
  • 0.04
  • 0.03
  • 0.02
  • 0.01

0.0

Dx (m)

β x β y Dx

B9

  • A. Bogomyagkov (BINP)

FCC-ee crab waist IR and the arc 10 / 22

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SLIDE 11

CRAB, AB, MS, DS sections

350. 450. 550. 650. 750.

s (m)

0.0 65. 130. 195. 260. 325. 390. 455. 520. 585. 650.

βx (m), βy (m)

0.0 0.02 0.04 0.06 0.08 0.10 0.12 0.14 0.16

D

x (m)

β x β y Dx

CRAB AB + MS DS

  • A. Bogomyagkov (BINP)

FCC-ee crab waist IR and the arc 11 / 22

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SLIDE 12

Interaction Region layout

Z, m 100 200 300 400 500 600 700 X, m

  • 1.5
  • 1
  • 0.5

0.5 1 1.5

  • e

+

e

CRAB SEXTUPOLE

Before the achromatic bend at the crab sextupole each beam is diverging at ±4.4 mrad. L B φ [m] [T] [mrad] B0 10.5 0.06 1 B1 10.5 0.21 3.7 B2 10.5 0.21 3.8 B3 14.5 0.21 5.2 B4 14.5 0.21 5.2 B5 14.5 0.03 0.6 B6 14.5 0.01 0.2 B7 14.5

  • 0.13
  • 3.2

B8 14.5

  • 0.13
  • 3.2

B9 14.5

  • 0.11
  • 2.8

B10 10.5 0.06 1

  • A. Bogomyagkov (BINP)

FCC-ee crab waist IR and the arc 12 / 22

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SLIDE 13

Quarter layout

Z, m

2000 4000 6000 8000 10000 12000 14000 16000

X, m

  • 16000
  • 14000
  • 12000
  • 10000
  • 8000
  • 6000
  • 4000
  • 2000
  • e

+

e

  • A. Bogomyagkov (BINP)

FCC-ee crab waist IR and the arc 13 / 22

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SLIDE 14

Chromaticity: Montague functions

0.0 7.5 15.0 22.5

s (m) [*10**( 3)] One Forth of FCC

0.0 500. 1000. 1500. 2000. 2500. 3000. 3500. 4000.

W

x, W y

  • 1.2
  • 1.0
  • 0.8
  • 0.6
  • 0.4
  • 0.2

0.0 0.2 0.4 0.6 0.8 1.0

dD

x/dδ (m)

Wx Wy Dx’

  • A. Bogomyagkov (BINP)

FCC-ee crab waist IR and the arc 14 / 22

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SLIDE 15

Chromaticity: Montague functions

0.0 3. 6. 9.

s (m) [*10**( 3)] One Forth of FCC

0.0 20. 40. 60. 80. 100. 120. 140. 160. 180. 200.

W

x, W y

  • 0.8
  • 0.6
  • 0.4
  • 0.2

0.0 0.2 0.4 0.6 0.8 1.0

dD

x/dδ (m)

Wx Wy Dx’

  • A. Bogomyagkov (BINP)

FCC-ee crab waist IR and the arc 15 / 22

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SLIDE 16

Energy acceptance I: [-3.3%;+0.9%]

  • 0.04
  • 0.02

0.0 0.02 0.04

dp One Forth of FCC

126.50 126.55 126.60 126.65 126.70 126.75 126.80 126.85 126.90 126.95 127.00

Qx

85.50 85.55 85.60 85.65 85.70 85.75 85.80 85.85 85.90 85.95 86.00

Qy

Qx Qy

Value ∆Q(1.5%) Qx 126.54 Q′

x

Q′′

x

−81 −0.009 Q′′′

x

−3.6 · 104 −0.02 Q′′′′

x

−2.3 · 106 0.005 Qy 85.57 Q′

y

Q′′

y

−33 −0.004 Q′′′

y

−2.9 · 105 −0.16 Q′′′′

y

−2.7 · 106 −0.006

  • A. Bogomyagkov (BINP)

FCC-ee crab waist IR and the arc 16 / 22

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SLIDE 17

Energy acceptance II: [-1.8%;+1.4%]

  • 0.04
  • 0.02

0.0 0.02 0.04

dp One Forth of FCC

126.50 126.55 126.60 126.65 126.70 126.75 126.80 126.85 126.90 126.95 127.00

Qx

85.50 85.55 85.60 85.65 85.70 85.75 85.80 85.85 85.90 85.95 86.00

Qy

Qx Qy

Value ∆Q(1.5%) Qx 126.54 Q′

x

Q′′

x

−73 −0.008 Q′′′

x

−4.1 · 104 −0.02 Q′′′′

x

−2.7 · 106 0.006 Qy 85.57 Q′

y

Q′′

y

−53 −0.006 Q′′′

y

−5 · 104 −0.028 Q′′′′

y

−8 · 106 −0.017

  • A. Bogomyagkov (BINP)

FCC-ee crab waist IR and the arc 17 / 22

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SLIDE 18

Energy acceptance II: [-1.8%;+1.4%] (full ring)

  • 0.04
  • 0.02

0.0 0.02 0.04

dp FCC

506.00 506.07 506.14 506.21 506.28 506.35 506.42 506.49 506.56 506.63 506.70

Qx

342.0 342.1 342.2 342.3 342.4 342.5 342.6 342.7 342.8 342.9 343.0

Qy

Qx Qy

Value ∆Q(1.5%) Qx 506.16 Q′

x

Q′′

x

−276 −0.03 Q′′′

x

−1.5 · 105 −0.08 Q′′′′

x

−9.9 · 106 −0.02 Qy 342.28 Q′

y

Q′′

y

−216 −0.02 Q′′′

y

−1.8 · 105 −0.1 Q′′′′

y

−3 · 107 −0.06

  • A. Bogomyagkov (BINP)

FCC-ee crab waist IR and the arc 18 / 22

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SLIDE 19

Energy acceptance III: momentum compaction

  • 0.04
  • 0.02

0.0 0.02 0.04

dp One Forth of FCC: momentum compaction

0.0 0.5000E-03 0.1000E-02 0.1500E-02 0.2000E-02 0.2500E-02 0.3000E-02 0.3500E-02 0.4000E-02 0.4500E-02 0.5000E-02 0.5500E-02 0.6000E-02

malfa [*10**( -3)]

malfa

  • A. Bogomyagkov (BINP)

FCC-ee crab waist IR and the arc 19 / 22

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SLIDE 20

Parameters of one quarter of the ring

tt Energy [GeV] 175 Perimeter [m] 24747.6 Momentum compaction 5.7 · 10−6 Emittance hor. [nm] 1.8 Energy spread [10−3] 1.6 β∗

x/β∗ y [m]

0.5 / 0.001 Energy loss / turn [GeV] 2.15

  • A. Bogomyagkov (BINP)

FCC-ee crab waist IR and the arc 20 / 22

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SLIDE 21

Summary I

What is done?

1

Closed ring is ready, files are in /afs/cern.ch/eng/fcc/ee/TLEP_V14_IR_6-13-2

2

At the end of IR the distance between the beams is 3 m.

3

Energy acceptance [-1.8%;+1.4%].

4

Chromaticity of momentum compaction is reasonable.

What is next?

1

Redo the matching section between IR and the arc (accommodate the extra angle of IR into the arc).

2

Change phase advance per cell to odd multiple of π/4.

3

Four families of sextupoles in the arc and octupoles in IR.

4

Dynamic aperture studies, 6d tracking.

  • A. Bogomyagkov (BINP)

FCC-ee crab waist IR and the arc 21 / 22

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SLIDE 22

Summary II

Questions

1

Is it possible to build required final focus quadrupoles?

2

How longitudinal detector field will be compensated?

3

Is there a need to increase L∗?

4

Do positions and fields of the dipoles allow for synchrotron radiation shielding and detector background minimization?

5

How much length is needed for RF cavities in the IR?

6

Feedback, please!

  • A. Bogomyagkov (BINP)

FCC-ee crab waist IR and the arc 22 / 22