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90 m optics commissioning

S. Cavalier, Hans Burkhardt, M. Fitterer, G. Müller, S. Redaelli, R. Tomas,

G. Vanbavinckhove, J. Wenninger

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90 m OPTICS COMMISSIONING

S. Cavalier, LAL, Universit´e Paris Sud 11

H. Burkhardt, M. Fitterer, G. M¨

u

ller, S. Redaelli, R. Tomas, G. Vanbavinckhove, J. Wenninger,

CERN, Geneva, Switzerland

Abstract

Special β∗ = 90 m optics have been developed for the

two very high luminosity insertions of the LHC [1] [2], as a rst step to allow for very low angle precision measure-ments of the proton-proton collisions in the LHC. These optics were developed to be compatible with the stan-dard LHC injection and ramp optics. The target value of

β∗ = 90 m is reached by an un-squeeze from the injection

β∗ = 11 m. We report about the implementation of this

op-tics and the rst experience gained in commissioning with beam during two machine studies.

INTRODUCTION

High-β∗optics with β>1000 m have been requested

by the ATLAS-ALFA and TOTEM experiments to allow for very low angle precision measurements of the proton-proton scattering in the LHC using Roman Pot detectors installed in the very forward region around the LHC in-teraction points IP1 and IP5. We report here about the rst experience with the commissioning of the 90 m op-tics. This is important both for the machine to see how these optics can be efciently implemented in the LHC as well as for the experiments to allow for rst very forward proton-proton scattering datas at LHC energies and

four-momentum transfers down to ∼ 10−2GeV2.

The target value of β∗= 90 m is reached by an

un-squeeze from the injection β∗= 11 m using 17

interme-diate steps.

UN-SQUEEZE

The simultaneous un-squeeze in IP1 and IP5 from the

injection β∗= 11 m to β= 90 m results in a signicant

tune reduction of up to 0.45. It is compensated by an in-crease of the strength of the main LHC quadrupoles (QD, QF). The validity of this approach was demonstrated in a rst test performed in May 2011. As illustrated in Fig. 1

and Fig. 2, it was possible to reach β∗= 90 m without any

signicant beam losses.

To keep matters simple and minimize the risk of damage in case of uncontrolled beam loss, the rst study was per-formed using single bunches of rather low intensity in each of the LHC proton rings, placed such that they would not collide in the interaction regions. This worked very well.

The beam intensity was close to1.2×1010

protons for both beams. Feedbacks were used to automatically correct or-bits and tunes. Linear interpolation is used for the magnet strength between the steps. The tune distortions introduced by the linear interpolation were calculated. The calculated

corrections reach values up to 0.006 between the steps and can be corrected using the LHC trim quadrupoles. To test the procedure, the calculated corrections were only applied for beam 1. 17:000 18:00 19:00 20:00 21:00 22:00 23:00 2 4 6 8 10 12 Int ens it y, i n 10 9 prot ons beam 1 beam 2 11m 30m 90m Time 450 GeV 3.5 TeV 0 20 40 60 80 100 β* β * i n m

Figure 1: Beam intensities (blue,red), energy (green) and

β∗(pink) as a function of time during the rst un-squeeze.

19:000 20:00 21:00 22:00 23:00 00:00 01:00 02:00 03:00 04:00 5 10 15 20 25 30 pilots beam 1 beam 2 Int ens it y, i n 10 9 prot ons 450 GeV 3.5 TeV 11m 30m 90m 0 20 40 60 80 100 β* β * i n m se pa ra ti on off st art opt ic s m ea sure m ent s opt ic s c orre ct ion

Figure 2: intensities, energy and β∗as a function of time

during the second un-squeeze.

The time evolution of the orbit and tune trims during the rst un-squeeze study are shown in Fig. 3.

0 500 1000 1500 2000 -0.005 0 0.005 0.01 0.015 0.02 0.025 T u n e f e e d b a ck co rre ct io n s

Time during the unsqueeze [ s ]

B1-H B1-V B2-H B2-V

Figure 3: Evolution of orbit and tune trims with time The tune evolution for beam 1 is rather at which shows,

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that the tune excursion between the un-squeeze steps was well predicted and corrected while these excursions are vis-ible for beam 2 and compensated by tune feedback. The or-bit and tune corrections found in the rst un-squeeze were incorporated as correction for the second un-squeeze.

In the second study, beams were injected in the same buckets in beam 1 and beam 2 of the LHC to allow for collisions. This requires beam separation at the interac-tion points to avoid collisions during the injecinterac-tion and un-squeeze. The separation is provided by closed orbit bumps in the interactions regions which keep the beams trans-versely separated by at least ±5 σ. The intensity in the

second study was increased to3 × 1010

protons.

OPTICS MEASUREMENTS

Optics measurements are an important part of the com-missioning for two different reasons : the rst is to make sure the optics is overall sufciently well known and

cor-rected and the second to obtain a good knowledge of β∗and

the optics parameters between the interaction point and the roman pot detectors of the experiments.

β Beating

This was measured at three steps : 11 m, 30 m and 90 m. The evolution of the β-beating is shown in Fig. 4.

-0.4 -0.2 0 0.2 0.4 0 5000 10000 15000 20000 25000 ∆β/β y Longitudinal location [m] 90m 30m flattop -0.4 -0.2 0 0.2 0.4 ∆β/β x

IR1 IR2 IR3 IR4 IR5

IR8 IR6 IR7

LHCB2 3.5 TeV

Figure 4: Evolution of the beta-beat during the un-squeeze for beam2

It shows that there is no major anomaly and that the un-squeeze behaves basically as expected. The peak value for β beat is 25% for beam1 in the horizontal plane and 20% in vertical plane. For beam2 the peak value is close to 30%.

Coupling

The standard LHC tunes which are also used here are Qx = 64.31 and Qy = 59.32 which is close to the coupling resonance and requires a good tune and coupling control. The technique used to calculate the local corrections at IP1, IP2, IP5 and IP8 is called segment by segment technique and described in [3]. The local corrections applied on the quadrupoles are summarized in Table 1

Table 1: Summary of Local Corrections

Corrector Strength(m) Corrector Strength(m)

kqsx3.l1 0.0008 kqsx3.l5 0.0006

kqsx3.r1 0.0008 kqsx3.r5 0.0006

kqsx3.l2 -0.0009 kqsx3.l8 -0.0007

kqsx3.r2 -0.0009 kqsx3.r8 -0.0007

Fig. 5 and Fig. 6 shows the coupling measurement at

β∗= 90 m after correction. Small remaining effects can

still be seen at IP6 for beam 1 and at IP1 for beam 2.

0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 |f10 0 1 |

IR3 IR4 IR5 IR6 IR7

IR2 IR8 IR1

LHCB1 3.5 TeV - 90m 0 0.01 0.02 0.03 0.04 0.05 0.06 0 5000 10000 15000 20000 25000 |f10 1 0 | Longitudinal location [m] 5/5/2011 90m

Figure 5: Measured coupling for Beam1 for β∗= 90 m

0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 |f1 0 0 1 | LHCB2 3.5 TeV - 90m

IR1 IR2 IR3 IR4 IR5

IR8 IR6 IR7

0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0 5000 10000 15000 20000 25000 |f1 0 1 0 | Longitudinal position [m]

Figure 6: Measured coupling for beam 2 for β∗= 90 m

Dispersion

The technique to measure dispersion is to use a

turn-by-turn data acquisition with an energy offset ∆pp (B1) =

−0.4076 and ∆pp (B2) = −0.394. Fig. 7 and Fig. 8 shows

the difference between the measured and predicted disper-sion for beam1 and beam2.

Then K-modulation [4] was used to calculate the β∗and

the waist for both IPs.

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-0.25 -0.2 -0.15 -0.1 -0.05 0 0.05 0.1 0.15 0.2 0.25 0 5000 10000 15000 20000 25000 ∆ Dy [m] Longitudinal location [m]

IR3 IR4 IR5 IR6 IR7

IR2 IR8 IR1

LHCB1 3.5 TeV β* = (90,10,90,10)m 5-5-2011 90m

Figure 7: Difference between predicted and measured ver-tical dispersion function for Beam1.

-0.3 -0.25 -0.2 -0.15 -0.1 -0.05 0 0.05 0.1 0.15 0.2 0 5000 10000 15000 20000 25000 ∆ Dy [ m] Longitudinal location [m]

IR1 IR2 IR3 IR4 IR5

IR8 IR6 IR7

LHCB2 3.5 TeV

β* = (90,10,90,10)m 5-5-2011 90m

Figure 8: Difference between predicted and measured ver-tical dispersion function for Beam2.

Emittance Measurement

The measured emittances for beam 1 and beam 2 are summarized in Table 2.

Table 2: Measured Normalized Emittances for Beam 1 and

Beam 1 Beam 2

#N,x(µm) 2.6 3.0

#N,y(µm) 2.0 2.4

SEPARATION BUMPS

To separate the two LHC beams, three types of different corrector magnets are used : MCBC, MCBY and MCBX. The shape of these bumps is shown in Fig. 9.

The separation bumps were calculate to provide a con-stant parallel separation of ± 2 mm between beam1 and beam2 at IP1 and IP5. Since the optics changes during the un-squeeze and since IP1 and IP5 generally use separation in opposite planes, this required the separated calculation of separation bumps for every step separately for IP1 and IP5.

Figure 9: Calculated parallel separation bumps from

β∗= 11 m to 90 m. The horizontal separation in IP1 is

shown in the upper gure and the vertical separation in IP5 in the lower gure.

AKNOWLEDGMENT

Thanks to M. Deile et al. for TOTEM and to P. Fass-nacht, K.H. Hiller et al. for ATLAS-ALFA.

CONCLUSION

The commissioning of the 90 m β∗ optics went very

well. Beams were un-squeezed without any signicant

losses and rst collisions could already be provided to the experiments at the end of the second study with beams. The experience gained with the 90 m commissioning is essen-tial both for the machine to see how these optics can be efciently implemented in the LHC as well as for the ex-periments to provide for rst very forward proton-proton scattering data at LHC energies.

REFERENCES

[1] H. Burkhardt, S.M. White, “High β∗ optics for the LHC”,

CERN, June 2010, LHC Project Note 431.

[2] H. Burkhardt, S. Cavalier, “Intermediate 90 m Optics for ATLAS-ALFA”, CERN, April 2011, CERN-ATS-Note-2011-027 PERF.

[3] R. Tomas et al., “The LHC optics in practice”, 2010, LHC Beam Operation Workshop.

[4] R. Calaga, R. Miyamoto, R. Tomas, G. Vanbavinckhove, “ β∗

measurement in the LHC based on K-modulation”, IPAC’11, San Sebastian, September 2011, these proceedings.

Beam 2

Proceedings of IPAC2011, San Sebastián, Spain TUPZ001

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A01 Hadron Colliders 1797 Copyright

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