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Preliminary arc design including optimized and integrated lattice deck
EUROCIRCOL-P3-WP2-D2.5
Date: 30/01/2019
Grant Agreement 654305 PUBLIC 1 / 14
Grant Agreement No: 654305
EuroCirCol European Circular Energy-Frontier Collider Study
Horizon 2020 Research and Innovat ion Framework Programme, Research and Innovat ion Act ion
DELIVERABLE REPORT
PRELIMINARY ARC DESIGN INCLUDING
OPTIMIZED AND INTEGRATED LATTICE
DECK
Document identifier: EuroCirCol-P3-WP2-D2.5
EDMS 2041772
Due date: End of Month 44 (February 1, 2019)
Report release date: 30/01/2019
Work package: WP2 (Arc lattice design)
Lead beneficiary: CEA
Document status: RELEASED (V1.0)
Abstract:
Annotated beam optics and lattice files with specifications of the required magnet parameters
(strengths and apertures) including consolidated position and element characteristics. Specification of
the required magnet types and quantities including magnet field quality specifications.
Preliminary arc design including optimized and integrated lattice deck
EUROCIRCOL-P3-WP2-D2.5
Date: 30/01/2019
Grant Agreement 654305 PUBLIC 2 / 14
Copyright notice:
Copyright © EuroCirCol Consortium, 2015
For more information on EuroCirCol, its partners and contributors please see www.cern.ch/eurocircol.
The European Circular Energy-Frontier Collider Study (EuroCirCol) project has received funding
from the European Union's Horizon 2020 research and innovation programme under grant No
654305. EuroCirCol began in June 2015 and will run for 4 years. The information herein only
reflects the views of its authors and the European Commission is not responsible for any use that
may be made of the information.
Delivery Slip
Name Partner Date
Authored by Antoine Chance CEA 23/01/19
Edited by Julie Hadre CERN 11/01/19
Reviewed by Michael Benedikt
Daniel Schulte CERN 28/01/19
Approved by EuroCirCol Coordination Committee 30/01/19
Preliminary arc design including optimized and integrated lattice deck
EUROCIRCOL-P3-WP2-D2.5
Date: 30/01/2019
Grant Agreement 654305 PUBLIC 3 / 14
TABLE OF CONTENTS
1. LATTICE FILES ..................................................................................................................................................... 4
1.1. INTRODUCTION ............................................................................................................................................. 4 1.2. COLLIDER FOLDER ............................................................................................................................................. 4 1.3. COLLIDER_DEV FOLDER ..................................................................................................................................... 6 1.4. COLLIDER_THIN FOLDER .................................................................................................................................... 6 1.5. COLLIMATION_SECTION FOLDER........................................................................................................................ 7 1.6. EXP_SECTION FOLDER ........................................................................................................................................ 7 1.7. EXTRACTION FOLDER ......................................................................................................................................... 7 1.8. LOW_LUMI_EXP_INJ_SECTION FOLDER .............................................................................................................. 7 1.9. APERTURE FOLDER............................................................................................................................................. 7 1.10. ERRORS FOLDER ................................................................................................................................................. 8 1.11. MASKS FOLDER .................................................................................................................................................. 8 1.12. TOOLKIT FOLDER ............................................................................................................................................... 8
2. MAGNET PARAMETERS ..................................................................................................................................... 9
3. CONCLUSIONS .................................................................................................................................................... 12
4. REFERENCES ....................................................................................................................................................... 12
5. ANNEX GLOSSARY ............................................................................................................................................ 13
Preliminary arc design including optimized and integrated lattice deck
EUROCIRCOL-P3-WP2-D2.5
Date: 30/01/2019
Grant Agreement 654305 PUBLIC 4 / 14
1. LATTICE FILES
1.1. INTRODUCTION
The lattice files are maintained in a versioned, configuration managed repository using the Git open
source software at CERN (https://gitlab.cern.ch/fcc-optics/FCC-hh-lattice.git). The
baseline layout corresponds to the branch master. A development version exists within the branch
dev. The commands to download the files or to submit some file modifications are described in [1].
The repository contains different folders:
Collider. This folder contains the lattice files of the whole FCC-hh ring. The files are self-consistent
and only use one sequence file.
Collider_dev. This folder is for development purposes. It uses the structure file of each insertion.
These files should be used if modifications to the structure need to be tested.
Collider_thin. This folder contains lattice files of the thin version of the optics. They are useful
for tracking simulations.
Transfer_line. This folder is aimed to contain the lattice files of the transfer lines. It is currently
empty.
aperture. This folder contains the configuration of the aperture of all elements and specifies the
aperture tolerances. It also contains the scripts to calculate the beam stay clear in the collider.
collimation_section. This folder contains the lattice files of the cleaning sections LSS-PF-COL
and ESS-PJ-COL.
errors. This folder contains the error tables for the misalignment and field quality of magnets.
examples. This folder contains the examples of jobs.
exp_section. This folder contains the lattice files of the high-luminosity experimental interaction
regions (EIR) LSS-PA-EXP and LSS-PG-EXP.
extraction_section. This folder contains the lattice files of the extraction section ESS-PD-EXT.
low_lumi_exp_inj_section. This folder contains the lattice files of the low-luminosity
experimental interaction regions (including the injection sections) LSS-PB-EXP and LSS-PL-EXP.
masks. This folder contains the masks for tracking simulations.
toolkit. This folder contains the macros for MAD-X simulations.
1.2. COLLIDER FOLDER
This folder contains all lattice files to compute the optics of the ring. The contained files are:
fcc_hh.seq. This file contains the definition of magnet families and the position of all elements of
the FCC-hh ring (in the sequence called fcc_ring).
fcc_hh_####.madx. This file is the file to run for the ring optics. The pattern #### corresponds to
the value in millimetres of β* at the interaction points PA and PG. The existing values are 0.15 m,
0.20 m, 0.30 m, and 1.1 m for the collision optics and 4.6 m and 6.4 m for the injection optics. The
crossing scheme is off.
fcc_hh_####.str. This file contains the magnet strengths.
fcc_hh_####_cross.madx. This file is the MAD-X file when the crossing scheme is switched on.
Preliminary arc design including optimized and integrated lattice deck
EUROCIRCOL-P3-WP2-D2.5
Date: 30/01/2019
Grant Agreement 654305 PUBLIC 5 / 14
fcc_hh_####_cross.str. This file contains the magnet strengths with the crossing scheme on.
The pattern fcc_hh_alt _#### is for the alternative optics with the alternative triplet in the
EIR. The pattern #### corresponds to the value in millimetres of β* at the interaction points PA and
PG. The existing values are 0.15 m, 0.20 m, 0.30 m, and 1.1 m for the collision optics and 4.6 m and
6.4 m for the injection optics. There is also a flat optics with 𝛽𝑥∗ = 1.2 m and 𝛽𝑦
∗ = 0.15 m (with
####=0150_1200).
The content of the MAD-X file is the following:
! Lattice of the whole ring of FCC-hh
! 2018-11-05
!
! Antoine CHANCE, Barbara DALENA
! CEA Saclay
!
SET, FORMAT="12D", "20.12G", "-18S";
TITLE,"Lattice of the whole ring of FCC-hh";
OPTION, RBARC=FALSE, WARN,-INFO,-ECHO;
Head of the file
! SINCE THE MADX VERSION 5.02.05, THE DEFINITIONS OF EXN
AND EYN HAVE CHANGED (RMS NORM. EMITTANCE AND NOMORE
GEOMETRICAL NORM. EMITTANCE)
if (version < 50205) {
BEAM, PARTICLE=PROTON, ENERGY=50000.0, EXN=2.2e-06*4.,
EYN=2.2e-06*4., RADIATE=FALSE;
} else {
BEAM, PARTICLE=PROTON, ENERGY=50000.0, EXN=2.2e-06,
EYN=2.2e-06, RADIATE=FALSE;
}
Beam definition
call, file="fcc_hh.seq"; Loads the ring sequence
call, file="fcc_hh_####.str"; Loads the strengths
call, file="../toolkit/macros_install_linear_eir.madx";
call, file="../toolkit/macros_install_nonlinear.madx";
call, file="../toolkit/macros_misc.madx";
call, file="../toolkit/macros_plot.madx";
call, file="../toolkit/macros_saving.madx";
call, file="../toolkit/macros_matching.madx";
Loads the macros
EXEC, TWS_SELEC();
USE, SEQUENCE=FCC_RING;
exec, tws_FCC_RING(fcc_hh_####);
Calculates the Twiss
functions
Preliminary arc design including optimized and integrated lattice deck
EUROCIRCOL-P3-WP2-D2.5
Date: 30/01/2019
Grant Agreement 654305 PUBLIC 6 / 14
1.3. COLLIDER_DEV FOLDER
This folder contains all lattice files to match again the optics of the ring. The contained files are:
fcc_hh_dev.ele. This file contains the definition of all magnet families.
fcc_hh_dev.seq. This file contains the definition of the sub-sequences and the position of all
elements in the FCC-hh ring.
fcc_hh_dev_####.madx. This file is the MADX-file to run for the ring optics. The pattern ####
corresponds to the value in millimetres of β* at the interaction points PA and PG. The crossing scheme
is off. This file has been annotated with different flags. The most relevant parameters are respectively
pCROSS_ON_IPx and pSEP_ON_IPx when there is a crossing angle or separation (p is H for horizontal
or V for vertical and x for the interaction point A, B, G, or L).
fcc_hh_dev_####.str. This file contains the magnet strengths.
fcc_hh_dev_####_cross.madx. This file is the MAD-X file when the crossing scheme is on.
fcc_hh_dev_####_cross.str. This file contains the magnet strengths with crossing scheme.
fcc_hh_dev_####_makethin.madx. This file is the MADX-file to generate the thin version of
the optics. The crossing scheme is switched off.
fcc_hh_dev_####_thin.str. This file contains the magnet strengths for the thin version. The
crossing scheme is switched off.
fcc_hh_dev_####_cross_makethin.madx. This file is the MADX-file to generate the thin
version of the optics. The crossing scheme is switched on.
fcc_hh_dev_####_cross_thin.str. This file contains the magnet strengths for the thin
version. The crossing scheme is switched on.
fcc_hh_dev_####_thin.seq1. This file contains the sequence file for the thin lattice as
generated by MAD-X. This file should not be modified.
fcc_hh_alt_dev_#### is the pattern for the alternative optics as described in the section 1.2.
1.4. COLLIDER_THIN FOLDER
This folder contains all lattice files to compute the optics of the thin version of ring. The contained
files are:
fcc_hh_thin.seq. This file contains the definition of magnet families and the position of all
elements of the thin version of the FCC-hh ring.
fcc_hh_####_thin.madx. This file is the MADX-file to run for the ring optics. The pattern ####
corresponds to β* as described in the section 1.2. The crossing scheme is off.
fcc_hh_####_thin.str. This file contains the magnet strengths with crossing scheme off.
fcc_hh_####_cross_thin.madx. This file is the MAD-X file when the crossing scheme is on.
fcc_hh_####_cross_thin.str. This file contains the magnet strengths with crossing scheme.
fcc_hh_alt_####_thin is the pattern for the alternative optics as described in the section 1.2.
Preliminary arc design including optimized and integrated lattice deck
EUROCIRCOL-P3-WP2-D2.5
Date: 30/01/2019
Grant Agreement 654305 PUBLIC 7 / 14
1.5. COLLIMATION_SECTION FOLDER
This folder contains the definition of the elements and of the sequences of the collimation sections
LSS-PF-COL (file ecol_fcc_mod4.madx) and ESS-PJ-COL (file IRCOLL2.madx).
1.6. EXP_SECTION FOLDER
This folder contains the definition of the elements and the sequence of the EIR LSS-PA-EXP and LSS-
PG-EXP (file IR_FCC_hh_V7.madx). The magnet strengths are given in opt_####_40.str
where #### is the value of β*. The alternative optics of the EIR is given in the folder
Alternative_triplet with the same naming convention.
1.7. EXTRACTION FOLDER
This folder contains the definition of the elements and of the sequence of the extraction section ESS-
PD-EXT. The baseline is given by the file FCCextraction2800m_vert.seq.
1.8. LOW_LUMI_EXP_INJ_SECTION FOLDER
This folder contains two folders IPB for LSS-PB-EXP and IPL for LSS-PL-EXP. The definition of the
elements and their position is given in the files FCC-hh_IPB.seq and FCC-hh_IPL.seq. The
magnet strengths are given in the files opt_3000_25.str for the collision optics and
opt_27000_25.str for the injection optics.
1.9. APERTURE FOLDER
This folder contains the aperture of the beam screen (FCC_BeamScreen.txt, see Figure 1), of
the arc (aperture.arc.b1.madx) and insertion elements (aperture.ir.col.b1.madx).
The aperture tolerances of the insertion elements are given in apert_tol.ir.col.b1.madx.
Since the dipoles are straight and not curved like in LHC, an additional margin on the aperture is added
because of the sagitta (difference between the reference axis and the curved trajectory of the reference
beam). The aperture tolerances are respectively defined for the arcs in apert_tol.arc.b1.madx
and apert_tol.arc.b1_sagitta.madx without and with sagitta. The beam stay clear is
calculated by running the MAD-X script job.calc_apertures.madx.
Figure 1: Mechanical design of the vacuum beam pipe. The beam pipe geometry as defined in MAD-X is shown in red.
Preliminary arc design including optimized and integrated lattice deck
EUROCIRCOL-P3-WP2-D2.5
Date: 30/01/2019
Grant Agreement 654305 PUBLIC 8 / 14
1.10. ERRORS FOLDER
This folder contains the definition of misalignment and field errors. The tables for the field and
misalignment errors are respectively given by the naming convention YYY_errortable_vN and
YYY_errortable_vN_align where YYY is the name of the magnet family like D1 for the
recombination dipole in the EIR and N is the version number. The error table of the arc dipoles is
contained in MBarc_errortable_v42 for the half-pinning case (baseline) and
MBarc_errortable_v4 for the full pinning [2]. The selection of the field and misalignment errors
is respectively made by the files Efcomp_YYY.madx and Ealign_YYY.madx where YYY
contains information about the selected families.
The file macro_error.madx contains all macros the user should use to apply errors to the optics.
1.11. MASKS FOLDER
This folder contains some masks to apply to convert a MAD-X optics with errors to a SixTrack input
for tracking studies.
1.12. TOOLKIT FOLDER
This folder contains MAD-X macros useful to:
insert elements (fcc_hh_crab_cavities.macro, macros_install_linear_eir,
macros_install_linear_alt_eir.madx, and macros_install_nonlinear.madx)
match the optics (macros_matching.madx, macros_matching_thin.madx,
macros_crossing.madx and matching_macros_thin.madx)
save the strengths (macros_saving.madx)
generate the thin optics (macros_makethin.madx, macros_makethin_alt.madx)
plot the optics (macros_plot.madx)
other purposes (macros_misc.madx)
Preliminary arc design including optimized and integrated lattice deck
EUROCIRCOL-P3-WP2-D2.5
Date: 30/01/2019
Grant Agreement 654305 PUBLIC 9 / 14
2. MAGNET PARAMETERS
The parameters of the dipoles, quadrupoles, dipole correctors and other multipoles are respectively
given in Table 1,
Preliminary arc design including optimized and integrated lattice deck
EUROCIRCOL-P3-WP2-D2.5
Date: 30/01/2019
Grant Agreement 654305 PUBLIC 10 / 14
Table 2, Table 3, and
Table 4.
Table 1: Parameters of the dipole families
Name Number Maximum
field [T] Material Length [m] Location
MB 4672 16 Nb3Sn 14.069 arcs and DIS
MBA 8 16 Nb3Sn 12.5 separation dipole in LSS-PF-COL and LSS-
PH-RFS
MBB 8 16 Nb3Sn 12.5 recombination dipole in LSS-PF-COL and
LSS-PH-RFS
MBWM 12 1 warm 7.764 LSS-PF-COL
MBRE 8 10 NbTi 15.0 recombination dipole in LSS-PB-EXP and
LSS-PL-EXP
MBRW 16 2 warm 11.3 recombination dipole in LSS-PA-EXP and
LSS-PG-EXP
MBW 8 2 warm 17.0 ESS-PJ-COL
MBXB 8 12 NbTi 12.5 separation dipole in LSS-PB-EXP and LSS-
PL-EXP
MBXW 16 2 warm 11.3 separation dipole in LSS-PA-EXP and LSS-
PG-EXP
Preliminary arc design including optimized and integrated lattice deck
EUROCIRCOL-P3-WP2-D2.5
Date: 30/01/2019
Grant Agreement 654305 PUBLIC 11 / 14
Table 2: Parameters of the quadrupole families
Name Number Max gradient
[T/m] Material
Length [m]
Location
MCQS 4 220 NbTi 1.6 LSS-PA-EXP and LSS-PG-EXP
MCQSX 4 220 NbTi 1.6 LSS-PA-EXP and LSS-PG-EXP
MQ 744 360 Nb3Sn 7.2 arcs
MQB 2 220 NbTi 15.5 ESS-PJ-COL
MQDA 48 360 Nb3Sn 9.7 DIS
MQE 2 60 NbTi 6.8 ESS-PD-EXT
MQI 2 220 NbTi 6.8 ESS-PD-EXT
MQM 8 360 Nb3Sn 14.3 LSS-PA-EXP and LSS-PG-EXP
MQML 10 360 Nb3Sn 12.8 LSS-PB-EXP and LSS-PL-EXP
MQMO 16 360 Nb3Sn 9.1 matching sections
MQR 8 360 Nb3Sn 7.2 LSS-PH-RFS
MQS 96 220 NbTi 0.5 arcs
MQT 88 220 NbTi 0.5 arcs
MQTL 48 220 NbTi 2.1 DIS
MQTLH 12 220 NbTi 6.5 ESS-PJ-COL
MQTLI 2 220 NbTi 6.5 ESS-PJ-COL
MQTLM 12 220 NbTi 2.969 LSS-PF-COL
MQWA 20 50 warm 15.54 ESS-PJ-COL
MQWB 4 50 warm 15.54 ESS-PJ-COL
MQWC 20 50 warm 7.097 LSS-PF-COL
MQWD 4 50 warm 7.097 LSS-PF-COL
MQXA 16 270 Nb3Sn 10.0 LSS-PB-EXP and LSS-PL-EXP
MQXB 8 270 Nb3Sn 15.0 LSS-PB-EXP and LSS-PL-EXP
MQXC 8 130 Nb3Sn 14.3 LSS-PA-EXP and LSS-PG-EXP
MQXD 16 105 Nb3Sn 12.5 LSS-PA-EXP and LSS-PG-EXP
MQXE 8 105 Nb3Sn 14.3 LSS-PA-EXP and LSS-PG-EXP
MQY 20 200 Nb3Sn 9.1 LSS-PA-EXP, LSS-PB-EXP, LSS-PG-EXP and
LSS-PL-EXP
MQYL 8 360 Nb3Sn 12.8 LSS-PA-EXP, LSS-PB-EXP, LSS-PG-EXP and
LSS-PL-EXP
Preliminary arc design including optimized and integrated lattice deck
EUROCIRCOL-P3-WP2-D2.5
Date: 30/01/2019
Grant Agreement 654305 PUBLIC 12 / 14
Table 3: Parameters of the dipole corrector families
Name Number Maximum
field [T] Material
Length [m]
Location
MCBCH 1 4 NbTi 2.055 LSS-PF-COL
MCBEXPH 4 4 NbTi 3.4 LSS-PA-EXP and LSS-PG-EXP
MCBH 396 4 NbTi 1.2 arcs
MCBH1 14 4 NbTi 0.5 LSS-PA-EXP and LSS-PG-EXP
MCBRDH 4 4 NbTi 3.0 LSS-PA-EXP and LSS-PG-EXP
MCBRDH1 4 4 NbTi 3.0 LSS-PB-EXP and LSS-PL-EXP
MCBWH 2 TBD Warm TBD ESS-PJ-COL
MCBXCH 4 3 NbTi 1.3 LSS-PB-EXP and LSS-PL-EXP
MCBXDH 4 3 NbTi 1.3 LSS-PB-EXP and LSS-PL-EXP
MCBXH 4 4 NbTi 2.25 LSS-PA-EXP and LSS-PG-EXP
MCBCV 2 4 NbTi 2.064 LSS-PF-COL
MCBRDV 4 4 NbTi 3.0 LSS-PA-EXP and LSS-PG-EXP
MCBRDV1 4 4 NbTi 3.0 LSS-PB-EXP and LSS-PL-EXP
MCBV 396 4 NbTi 1.2 arcs
MCBV1 14 4 NbTi 0.5 LSS-PA-EXP and LSS-PG-EXP
MCBWV 2 TBD Warm TBD ESS-PJ-COL
MCBXCV 4 3 NbTi 1.3 LSS-PB-EXP and LSS-PL-EXP
MCBXDV 4 3 NbTi 1.3 LSS-PA-EXP and LSS-PG-EXP
MCBXCHV 4 3 NbTi 1.3 LSS-PA-EXP and LSS-PG-EXP
MCBXDHV 8 3 NbTi 1.3 LSS-PA-EXP and LSS-PG-EXP
Table 4: Parameters of the multipole families (all of them use NbTi technology).
Order Name Number Max gradient Length
[m] Location
Sextupole MCS 4672 3000 T/m2 0.11 arcs and DIS
Sextupole MS 696 7000 T/m2 1.2 arcs
Octupole MO 480 200,000 T/m3 0.5 arcs
Skew sextupole
MCSSX 4 227 T/m2 0.111 LSS-PA-EXP and LSS-PG-EXP
Sextupole MCSX 4 227 T/m2 0.111 LSS-PA-EXP and LSS-PG-EXP
Skew Octupole
MCOSX 4 4230 T/m3 0.087 LSS-PA-EXP and LSS-PG-EXP
Octupole MCOX 4 4230 T/m3 0.087 LSS-PA-EXP and LSS-PG-EXP
Decapole MCD 2336 4.3 106 T/m4 0.11 arcs and DIS
Dodecapole MCTX 4 64,000 T/m5 0.43 LSS-PA-EXP and LSS-PG-EXP
Preliminary arc design including optimized and integrated lattice deck
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3. CONCLUSIONS
The lattice deck (which can be downloaded with the link https://gitlab.cern.ch/fcc-
optics/FCC-hh-lattice.git has been presented. Main optics files are located in the folders
Collider, Collider_dev and Collider_thin. The description of the apertures of all magnet families can
be found in the aperture folder.
The framework has been presented. The list of the different magnet families has been given.
4. REFERENCES
[1] A. Chance, “Preliminary arc optics and lattice files: Milestone M2.2,” CERN-ACC-2016-0032,
2016.
[2] A. Chance, “Consolidated arc design baseline: Milestone M2.5,” CERN-ACC-2018-0038, 2018.
[3] D. Schoerling, "Magnet status towards the CDR," in FCC week 2017, Berlin, Germany, 2017.
[4] C. Lorin, D. Simon, M. Durante, H. Felice, J.-M. Rifflet, T. Salmi and D. Schoerling, “Design of
a Nb3Sn 400 T/m quadrupole for the Future Circular Collider,” in MT-25, Amsterdam, 2017.
Preliminary arc design including optimized and integrated lattice deck
EUROCIRCOL-P3-WP2-D2.5
Date: 30/01/2019
Grant Agreement 654305 PUBLIC 14 / 14
5. ANNEX GLOSSARY
SI units and formatting according to standard ISO 80000-1 on quantities and units are used throughout
this document where applicable.
BPM Beam Position Monitor
c.m. Centre of Mass
DA Dynamic Aperture
DIS Dispersion suppressor
EIR Experimental Insertion Region
ESS Extended Straight Section
FCC Future Circular Collider
FCC-hh Hadron Collider within the Future Circular Collider study
FODO Focusing and defocusing quadrupole lenses in alternating order
H1 Beam running in the clockwise direction in the collider ring
H2 Beam running in the anti-clockwise direction in the collider ring
HL-LHC High Luminosity – Large Hadron Collider
IP Interaction Point
LHC Large Hadron Collider
LAR Long arc
LSS Long Straight Section
Nb3Sn Niobium-tin, a metallic chemical compound, superconductor
NbTi Niobium-titanium, a superconducting alloy
RFS Radio Frequency Section
RMS Root Mean Square
σ RMS size
SAR Short arc
SSS Short Straight Section
TSS Technical Straight Section
TBD To be defined