Update of beam dynamics target for the LHC correctors A.M. Lombardi FQWG
The effect of the field harmonics on the dynamic aperture should be such that the local integrated effect over half lattice cell should not exceed by more than 10% the effect of the MB and MQ (backed by DA tracking). Tolerance for the field harmonics 1.Rescaling from the MB and MQ error table 2.Dedicated studies only for problem cases
trim quad, lattice sextupole and octupole vs. MQ Field(T)Length (m)number MQ MQT/MQS MS/MSS MO MQTL(I,H) Roughly in the same ballpark some cases might need closer view / dedicated study
orbit corrector and “MB spool” vs. MB Field (T)length (m)number MB MCBH/V MCS MCO MCD factor : quite forgiving!!!
history FQWG mar04 : present tolerances by rescaling from the MQ and MB error table of the time meeting aug04 : update of the tolerances for the MQT,MS and MO as the MQ error were revised. More measurements of correctors. IDENTIFIED mpoles that needed more study.
conclusion in aug 04 MO :ok MQT : systematic a4 (3 vs. 1.8), systematic b10 (-15 vs. -2) random b3 (17 vs. 15), random b4 (8 vs. 3) MS : systematic b9 (-5 vs. 0) systematic a4 (2.8 vs. 1.3) random b4 (10 vs. 2.3) random a4 (12 vs. 10.5)
DA vs b10 in MQ equivalent to b10=-15 in the MQT
MQT-nov04 randomunitssystematicunitsrandomunitssystematicunitsfrom 0402 b1from spec. study b2 b317b33.67a315.94a37.35 b48b41.84a414.94a43 b55.70b51.84a55.70a51.84 b66.65b6-7.44a64.61a63.67 b71.57b70.73a71.57a70.73 b82.66b80.80a82.66a80.00 b94.52b90.00a94.52a90.00 b103.85b10-15a103.85a b112.61b110.00a112.61a110.00
MS – nov04 randomunitssystematicunitsrandomunitssystematicunitsfrom 0402 from spec. study b1 b2 b3 b410b41.30a412a42.8 b54.03b51.30a54.03a51.30 b64.69b6-5.25a63.25a62.59 b71.10b70.52a71.10a70.52 b81.87b80.56a81.87a80.00 b93.19b9-5a93.19a90.00 b102.72b a102.72a b111.84b110.00a111.84a110.00
M0-nov04 randomunitssystematicunitsrandomunitssystematicunitsfrom 0402 b1b1a167.1a1 b2b2a20.0a2 b3b3a3131.8a3 b4b4a4125.3a4 b548.5b515.6a548.5a515.6 b657.3b6-64.2a639.7a631.7 b713.7b76.4a713.7a76.4 b823.6b87.1a823.6a80.0 b940.7b90.0a940.7a90.0 b1035.1b a1035.1a100.0 b1123.8b110.0a1123.8a110.0
Conclusions The effect of the measured (*) field of the lattice correctors on the DA is limited to 10% of the effect of MB and MQ combined. (*) fraction measured MQT 15% MS 45% MO MCBH