Dispersion Relation for the Regge Parameters

The Regge parameters $\alpha \mathrm{}\left(s\right)\mathrm{}$ and $\beta \mathrm{}\left(s\right)\mathrm{}$ of trajectories which cross one another at some point $s_0$ are proved to form different branches of an analytic function with the branch point at $s_0$. A new set of Regge parameters are found which are regular in the neighborhood of $s_0$. Dispersion relations written for these parameters thus take a simple form and should be the ones to use for the dynamical determination of the Regge parameters.