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Analytic Derivation of Vertical Chromaticity in the Fermilab Muon $g{-}2$ Storage Ring
arXiv:2606.09903v1 Announce Type: new Abstract: We derive the vertical chromaticity $\xi_y$ of the Fermilab Muon g-2 storage ring in closed analytic form. Expanding the Hamiltonian as a Taylor polynomial in the dynamical variables and integrating the equations of motion order by order, we obtain the vertical second-order aberrations of the homogeneous magnetic dipole ($\mathtt{DI}$) and the combined-function dipole-and-electrostatic-quadrupole element ($\mathtt{DIQ}$) used in the muon...