Nonlinearity optimization for the lattice of SPPC collider ring

The proposed super proton–proton collider (SPPC) is an energy frontier machine that will possess the capability to explore a significantly broader range of new physics models. The nonlinearity optimization of the SPPC collider ring lattice is crucial in achieving high peak luminosity and beam lifetime.

The resonance driving terms and chromatic function of the SPPC collider ring lattice are optimized through Lie map analysis and frequency map analysis.

The linear lattice of the SPPC collider ring at collision energy is presented. With nonlinearity optimization, the lattice aberration and the dynamic aperture of the entire ring have been improved.

Key resonance driving terms and chromatic functions of the SPPC lattice have been significantly optimized. With Landau octupoles and beam–beam effect, the dynamic aperture of SPPC collider ring exceeds 50 \(\sigma \) $\sigma$ in both planes.