Abstract

At the Large Hadron Collider (LHC), the interplay between a series of effects, including intrabeam scattering (IBS), synchrotron radiation, longitudinal beam manipulations, two beam effects (beam-beam, e-cloud) and machine non-linearities, can change the population of the core and tails and lead to non-Gaussian beam distributions, at different periods during the beam cycle. By employing generalised distribution functions, it can be demonstrated that the modified non-Gaussian beam profiles have an impact in the beam emittance evolution by itself and thereby to the collider luminosity. This paper focuses on the estimation of beam distribution modification and the resulting rms beam size due to the combined effect of IBS and synchrotron radiation by employing a Monte-Carlo simulation code which is able to track 3D generalised particle distributions (SIRE). The code is first benchmarked over classical semi-analytical IBS theories and then compared with measurements from the LHC at injection and collision energies, including projections for the High-Luminosity LHC (HL-LHC) high brightness regime. The impact of the distribution shape on the evolution of the bunch characteristics and machine performance is finally addressed.

Highlights

  • The performance of a high-energy hadron collider such as the Large Hadron Collider (LHC) is heavily based on the preservation of the injected emittances, under the influence of several degrading mechanisms

  • The bunch characteristics evolution predicted by this model revealed discrepancies, as compared to the measurements, translated to differences in the luminosity predicted by the model as compared to the experimental estimations [1,2,3]

  • This motivates the investigation of the emittance evolution beyond the classical analytical formulas for modeling intrabeam scattering (IBS), which are based on 3D Gaussian beam assumptions [4]

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Summary

INTRODUCTION

The performance of a high-energy hadron collider such as the LHC is heavily based on the preservation of the injected emittances, under the influence of several degrading mechanisms In this respect, an emittance evolution model was constructed including the effects of intrabeam scattering (IBS), synchrotron radiation, elastic scattering and luminosity burn-off (while at collision) [1]. This motivates the investigation of the emittance evolution beyond the classical analytical formulas for modeling IBS, which are based on 3D Gaussian beam assumptions [4] In this respect, a Monte Carlo multiparticle simulation code for IBS and Radiation Effects (SIRE) [5,6], is employed and compared to LHC data from Run.

MOTIVATION-IMPACT OF NON-GAUSSIAN DISTRIBUTIONS ON LUMINOSITY
The logarithmic Coulomb factor
Benchmarking of IBS theoretical model with SIRE
SIMULATIONS PERFORMED WITH SIRE FOR THE LHC
Reduced lattice
Convergence studies
Benchmarking of SIRE with the B-M IBS theoretical model
BUNCH PROFILE MEASUREMENTS IN THE LHC
Findings
SUMMARY AND OUTLOOK
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