Figure 3

The top plot shows the vertical emittance introduced by quadrupole roll errors. Data points show average emittance from MAD-X simulation with 100 error seeds and the solid lines show the analytical expression. Blue data points and curve represent arc quadrupoles, red represents IR quadrupoles and black represents all quadrupoles. The bottom plot shows a sample distribution of the computed emittance of the 100 error seeds for the case of all quadrupoles rolled with an RMS of \(30\ \mathrm{{\mu rad}}\)