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The HiLumi LHC Design Study is included in the High Luminosity LHC project and is partly funded by the European Commission within the Framework Programme.

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Presentation on theme: "The HiLumi LHC Design Study is included in the High Luminosity LHC project and is partly funded by the European Commission within the Framework Programme."— Presentation transcript:

1 The HiLumi LHC Design Study is included in the High Luminosity LHC project and is partly funded by the European Commission within the Framework Programme 7 Capacities Specific Programme, Grant Agreement 284404. Update on field quality requirements for HL-LHC new magnets R. De Maria, M. Giovannozzi (CERN), Y. Cai, Y. Nosochkov, M.-H. Wang (SLAC) Acknowledgements: G. Arduini, S. Fartoukh, E. Todesco

2 Simulations set-up Lattice set-up: HLLHCV1.0 lattice layout collision optics with  *= 15 cm at IP1,IP5 and E = 7 TeV injection optics with  *= 6 m and E = 450 GeV Tracking simulations set-up: 10 5 turns, 60 random error seeds, 30 particle pairs per amplitude step (2  ), 11 x-y angles Beam energy: 7 TeV (collision), 450 GeV (injection) Initial  p/p: 2.7e-4 (collision), 7.5e-4 (injection) Nominal tune: 62.31, 60.32 (collision), 62.28, 60.31 (injection) Normalized emittance = 3.75  m Arc errors and the standard correction systems are always included IT non-linear correctors of order n=3-6 are used in the collision optics No beam-beam effects Field coefficients: 2

3 Field quality specifications for D1 separation dipoles at collision energy (r 0 = 50 mm) 3 skewmeanuncertaintyrandom normalmeanuncertaintyrandom a200.679 b200.200 a300.282 b3-0.9000.727 a400.444 b400.126 a500.152 b500.365 a600.176 b600.060 a700.057 b70.4→0.20.165 a800.061 b800.027 a900.020 b9-0.59→-0.2950.065 a1000.025 b1000.008 a1100.007 b110.4700.019 a1200.008 b1200.003 a1300.002 b1300.006 a1400.003 b1400.001 a1500.001 b15-0.0400.002 Red values represent requests from WP2 Two multipoles optimised

4 Field quality specifications for D1 separation dipoles at injection energy (r 0 = 50 mm) 4 skewmeanuncertaintyrandom normalmeanuncertaintyrandom a200.679 b200.200 a300.282 b3-16.00.727 a400.444 b400.126 a500.152 b5-0.5000.365 a600.176 b600.060 a700.057 b70.9000.165 a800.061 b800.027 a900.020 b9-0.6600.065 a1000.025 b1000.008 a1100.007 b110.4400.019 a1200.008 b1200.003 a1300.002 b1300.006 a1400.003 b1400.001 a1500.001 b15-0.0400.002 Red values represent requests from WP2 No changes requested

5 Field quality specifications for Q5 matching quadrupoles at collision energy (r 0 = 17 mm) 5 skewmeanuncertaintyrandom normalmeanuncertaintyrandom a300.5000.900b300.9401.100 a400.2300.480b400.2600.250 a500.0700.160b500.0800.170 a600.1400.080b601.5000.430 a700.0200.040b700.0200.040 a800.0300.040b800.0300.040 a900.010 b900.010 a1000.010 b1000.3000.080 a1100.0200.030b1100.0200.030 a1200.0200.010b1200.0200.010 a1300.0200.010b1300.0200.010 a1400.0200.010b1400.0500.010 a1500.0200.010b1500.0200.010 Red values represent requests from WP2 No changes requested

6 Field quality specifications for Q5 matching quadrupoles at injection energy (r 0 = 17 mm) 6 skewmeanuncertaintyrandom normalmeanuncertaintyrandom a300.5000.900b300.9401.100 a400.2300.480b400.2600.250 a500.0700.160b500.0800.170 a600.1400.080b6-3.0003.0000.860 a700.0200.040b700.0200.040 a800.0300.040b800.0300.040 a900.010 b900.010 a1000.010 b1000.3000.080 a1100.0200.030b1100.0200.030 a1200.0200.010b1200.0200.010 a1300.0200.010b1300.0200.010 a1400.0200.010b1400.0500.010 a1500.0200.010b1500.0200.010 Red values represent requests from WP2 No changes requested

7 Updated estimate of D2 field quality at collision energy (r 0 = 35 mm) Previous specification: “D2_errortable_v4_spec”. New estimate: “D2_errortable_v5”. New estimates are indicated in blue: b3m (1.5 -> 1.0), b3u,b3r (1.5 -> 1.667), b4m (1.0 -> -3.0), b4u,b4r (0.2-> 0.6), b6m (0 -> 2.0), b7m (-0.2 -> 2.0), b8m (0 -> 1.0), b9m (0.09 -> 0.5). In tracking b2 = 0. skewmeanuncertaintyrandom normalmeanuncertaintyrandom a200.679 b2±1.001.000 a300.282 b31.001.667 a400.444 b4±3.000.600 a500.152 b50.500 a600.176 b6±2.000.060 a700.057 b72.000.165 a800.061 b8±1.000.027 a900.020 b90.500.065 a1000.025 b1000.008 a1100.007 b110.030.019 a1200.008 b1200.003 a1300.002 b1300.006 a1400.003 b1400.001 a1500.001 b1500.002 Red values represent requests from WP2 No changes requested 7

8 DA at collision energy with updated D2 field quality D2_errortable_v4_specD2_errortable_v5 The field quality of “D2_errortable_v5” at collision is acceptable. Here, DA ave is minimum average DA over 11 angles, DA min is absolute minimum DA, DA min1 is minimum DA when the worst seed is removed, DA min2 is the minimum DA when two worst seeds are removed. The other magnets: “IT_errortable_v3_spec”, D1_errortable_v1_spec”, “Q4_errortable_v1_spec”, “Q5_errortable_v0_spec”. 8

9 Updated estimate of D2 field quality at injection energy (r 0 = 35 mm) Previous specification: “D2_errortable_v4_spec”. New estimate: “D2_errortable_v5”. New estimates are indicated in blue: b2m (0 -> - 5.0), b3m (3.8 -> -19.0), b4m (-8.0 -> 2.0), b6m (0-> 2.0), b6m (0 -> 2.0), b7m (0.1 -> 1.3), b8m (0 -> 1.0), b9m (0.02 -> 0.52). In tracking b2 = 0. skewmeanuncertaintyrandom normalmeanuncertaintyrandom a200.679 b2±5.000.200 a300.282 b3-19.000.727 a400.444 b4±2.000.126 a500.152 b53.000.365 a600.176 b6±2.000.060 a700.057 b71.300.165 a800.061 b8±1.000.027 a900.020 b90.520.065 a1000.025 b1000.008 a1100.007 b1100.019 a1200.008 b1200.003 a1300.002 b1300.006 a1400.003 b1400.001 a1500.001 b1500.002 Red values represent requests from WP2 No changes requested 9

10 DA at injection energy with updated D2 field quality D2_errortable_v4_specD2_errortable_v5 The field quality of “D2_errortable_v5” at injection is acceptable. Hence, the updated estimate of D2 field quality becomes the specification table “D2_errortable_v5_spec” for both collision and injection energies. The other magnets: “IT_errortable_v3_spec”, D1_errortable_v1_spec”, “Q4_errortable_v1_spec”, “Q5_errortable_v0_spec”. 10

11 Updated estimate of IT field quality at collision energy (r 0 = 50 mm) Previous specification: “IT_errortable_v3_spec” (same as “IT_errortable_v66”). New reference: “IT_errortable_v66_4” (based on the new estimate in “IT_errortable_v4” combined with previously optimized terms (in red below) in “IT_errortable_v3_spec”). New estimates are indicated in blue. Reduced b6m (0.8 -> 0.4), but significantly increased b10m (0.075 -> -0.39) and b14m (-0.02 -> -0.67). skewmeanuncertaintyrandom normalmeanuncertaintyrandom a300.800 b300.820 a400.650 b400.570 a500.430 b500.420 a600.310 b60.400.550 a700.1520.095b700.095 a800.0880.055b800.065 a900.0640.040b900.035 a1000.0400.032b10-0.390.100 a1100.0260.0208b1100.0208 a1200.014 b1200.0144 a1300.010 b1300.0072 a1400.005 b14-0.670.0115 Red values represent requests from WP2 11

12 DA at collision energy with updated IT field quality IT_errortable_v3_specIT_errortable_v66_4 Significantly reduced DA at collision with the field quality of “IT_errortable_v66_4”. The other magnets: D1_errortable_v1_spec”, “D2_errortable_v5_spec”, “Q4_errortable_v1_spec”, “Q5_errortable_v0_spec”. 12

13 Updated IT field quality at collision energy with adjusted b10m (*0.4) and b14m (*0.25) (r 0 = 50 mm) skewmeanuncertaintyrandom normalmeanuncertaintyrandom a300.800 b300.820 a400.650 b400.570 a500.430 b500.420 a600.310 b60.400.550 a700.1520.095b700.095 a800.0880.055b800.065 a900.0640.040b900.035 a1000.0400.032b10-0.1560.100 a1100.0260.0208b1100.0208 a1200.014 b1200.0144 a1300.010 b1300.0072 a1400.005 b14-0.16750.0115 Red values represent requests from WP2 Several changes requested, two new 13

14 Updated estimate of IT field quality at injection energy (r 0 = 50 mm) skewmeanuncertaintyrandom normalmeanuncertaintyrandom a300.800 b300.820 a400.650 b400.570 a500.430 b500.420 a600.310 b6-15.81.100 a700.190 b700.190 a800.110 b800.130 a900.080 b900.070 a1000.040 b103.630.200 a1100.026 b1100.026 a1200.014 b1200.018 a1300.010 b1300.009 a1400.005 b14-0.60.023 Previous specification: “IT_errortable_v3_spec”. New estimate: “IT_errortable_v4” or “IT_errortable_v66_4” (same injection terms). New estimates are indicated in blue below. Slightly reduced b6m (-16 -> -15.8) and b10m (4.15 -> 3.63), but significantly increased b14m: -0.04 -> -0.6. Red values represent requests from WP2 No changes requested 14

15 DA at injection energy with updated IT field quality IT_errortable_v3_specIT_errortable_v66_4 The field quality of “IT_errortable_v4” (“IT_errortable_v66_4”) at injection is acceptable. The other magnets: D1_errortable_v1_spec”, “D2_errortable_v5_spec”, “Q4_errortable_v1_spec”, “Q5_errortable_v0_spec”. 15

16 Updated estimate of Q4 field quality at collision energy (r 0 = 30 mm) Previous specification: “Q4_errortable_v1_spec”. New estimate: “Q4_errortable_v2”. All coefficients are updated. Most of the low order terms are increased, while the high order terms (n > 9) are significantly reduced. New non-zero b6m and b14m. Cancellation of b6u,b6r, b10u,b10r, and b14u,b14r. skewmeanuncertaintyrandom normalmeanuncertaintyrandom a301.793 b301.793 a401.158 b401.158 a500.748 b500.748 a600.483 b6-0.0500 a700.312 b700.312 a800.202 b800.202 a900.130 b900.130 a1000.084 b10000 a1100.054 b1100.054 a1200.035 b1200.035 a1300.023 b1300.023 a1400.015 b141.5000 a15000b15000 Red values represent requests from WP2 No changes requested 16

17 DA at collision energy with updated Q4 field quality Q4_errortable_v1_specQ4_errortable_v2 Impact of the “Q4_errortable_v2” at collision energy is relatively small. It appears acceptable. The other magnets: “IT_errortable_v66_4” (b10m*0.4, b14m*0.25), “D1_errortable_v1_spec”, “D2_errortable_v5_spec”, “Q5_errortable_v0_spec”. 17

18 DA at collision energy with updated field of D2 and Q4 magnets and adjusted updated field of IT quadrupoles The minimum DA at collision energy is influenced by two bad seeds. Without these two seeds, the DA appears acceptable. Magnet errors: “IT_errortable_v66_4” (b10m*0.4, b14m*0.25), “D1_errortable_v1_spec”, “D2_errortable_v5_spec”, “Q4_errortable_v2”, “Q5_errortable_v0_spec”. 18

19 Updated estimate of Q4 field quality at injection energy (r 0 = 30 mm) Previous specification: “Q4_errortable_v1_spec”. New estimate: “Q4_errortable_v2”. All coefficients are updated. Most of the low order terms are increased, while the high order terms (n > 9) are significantly reduced. New non-zero b10m and b14m. Cancellation of b6u,b6r, b10u,b10r, and b14u,b14r. skewmeanuncertaintyrandom normalmeanuncertaintyrandom a301.793 b301.793 a401.158 b401.158 a500.748 b500.748 a600.483 b6-11.4500 a700.312 b700.312 a800.202 b800.202 a900.130 b900.130 a1000.084 b101.0000 a1100.054 b1100.054 a1200.035 b1200.035 a1300.023 b1300.023 a1400.015 b141.5000 a15000b15000 Red values represent requests from WP2 No changes requested 19

20 DA at injection energy with updated Q4 field quality Q4_errortable_v1_specQ4_errortable_v2 Impact of the “Q4_errortable_v2” at injection energy is negligible. Hence, this field quality should be acceptable. The other magnets: “IT_errortable_v66_4”, “D1_errortable_v1_spec”, “D2_errortable_v5_spec”, “Q5_errortable_v0_spec”. 20

21 Putting all together DA in collisionDA at injection The other magnets: “IT_errortable_v66_4”, “D1_errortable_v1_spec”, “D2_errortable_v5_spec”, “Q4_errortable_v2_spec”, “Q5_errortable_v0_spec”. 21

22 Summary and outlook DA min in collision is dangerously approaching the value of 9  without beam-beam! Review impact of latest IT FQ estimates (see next presentation by Ezio). Start analysis of impact of IT fringe fields on DA. Initial approach will be based on installing two additional kicks (entry and exit of magnets) to represent the effect of heads. Some tools to be developed, such as error routines for new kicks, installation of additional kicks. Consider impact of FQ of dipole correctors in IT. 22


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