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. 
D. Kaltchev (TRIUMF), W. Herr (CERN)
physics.acc-ph