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We develop theoretical expressions for the luminosity and beam-beam tuneshifts in the presence of both a crossing angle and hourglass effects for thepresent and next generation of symmetric e$^+$-e$^-$ colliders. The theory isapplied to the design of the Fermilab site filler Higgs factory and to theFCC-ee collider.

Luminosity and beam-beam tune shifts with crossing angle and hourglass effects in e$^+$-e$^-$ colliders