Analytic Derivation of Vertical Chromaticity in the Fermilab Muon $g-2$ Storage Ring

Eremey Valetov, Kyoko Makino, Martin Berz

We derive the vertical chromaticity $\hat{I}{¾}_y$ of the Fermilab Muon g-2 storage ring in closed analytic form. Expanding the Hamiltonian as a Taylor polynomial in the dynamical variable…