Analysis of long-range studies in the lhc - Comparison with the model

We find that the observed dependencies (scaling) of long-range beam-beam effects on the beam separation and intensity are consistent with the simple assumption that, all other parameters being the same, the quantity preserved during different set-ups is the first-order smear as a function of amplitude.Comment: 8 pages, contribution to the ICFA Mini-Workshop on Beam-Beam Effects in Hadron Colliders, CERN, Geneva, Switzerland, 18-22 Mar 201

Results of dynamic aperture studies for increased beta* with beam-beam interactions

We have evaluated the dynamic aperture in the presence of beam-beam effects for alternative running scenarios, in particular for the commissioning and early operation of the LHC. For top energy of 7 TeV we have studied the effect of increased beta* up to beta* = 2 m and found the expected increase of dynamic aperture for a moderate loss of luminosity. We have further studied the possibility of head-on collisions with a small number of bunches at injection energy

Analytical calculation of the smear for long-range beam-beam interactions

The Lie-algebraic method is used to develop generalized Courant-Snyder invariant in the presence of an arbitrary number of beam-beam collisions, head-on or long-range, in a storage ring collider. The invariant is obtained by concatenating nonlinear beam-beam maps in the horizontal plane and to first order in the beam-beam parameter. Tracking evidence is presented to illustrate that with LHC parameters the invariant is indeed preserved and can be used to predict the smear of horizontal emittance observed in tracking simulations. We discuss the limits of applicability of this model for realistic LHC collision schemes

Robustness of Resonance Free Lattices Against Gradient Errors

Resonance-free lattices make it possible to cancel the effect of non-linear resonances due to systematic multipoles in an alternating gradient circular machine. These lattices are made of identical cells with specified phase advances. It is therefore mandatory to examine to what extent the property remains valid in presence of gradient errors. In the case of LHC, three times the nominal gradient errors are acceptable from the point of view of both a3 and b4 components

Long Range Beam-beam Effects in the LHC

We report on the experience with long-range beam--beam effects in the LHC, in dedicated studies as well as the experience from operation. Where possible, we compare the observations with the expectations.Comment: Presented at the ICFA Mini-Workshop on Beam-Beam in Hadron Colliders, CERN, Geneva, Switzerland, 18-22 March 201

Code Benchmarking of Higher Order Modes Simulation Codes

In order to compare simulation results performed with different codes a simulation test bench is defined and four different codes are compared with each other to validate their compatibility

Correction of the Systematic b3 Error with the Resonance-Free Lattice in the LHC

The effect of the sextupole component b3 in the LHC dipoles on the resonance-free lattice has been investigated. It is shown that its dynamic aperture, without b3 spool piece correction, is close to that of the nominal LHC lattice version 6.0 with spool pice correction. A prerequisite is the addition of a few chromaticity sextupoles in the dispersion suppressors. Under this condition an increase of the b3 component by a factor of two can probably be accepted. Furthermore, a systematic relative gradient error up to one per mil can be tolerated without changing this result

Efficiency for the imperfect LHC collimation system

The LHC collimation system requires a high cleaning efficiency in order to prevent magnet quenches due to regular beam diffusion. The cleaning efficiency is significantly reduced due to imperfections of the collimator jaws and the machine optics. Tracking tools have been set up to predict the cleaning efficiency in presence of multiple imperfections. The deterioration of cleaning efficiency is quantified for different errors, including collimator surface non-flatness, collimator alignment errors, beta beating, orbit errors, non-linear field errors, and chromatic effects