Exact Consequences of BrokenO(4)Symmetry for Regge Trajectories. I.M=0

We obtain the complete set of constraints imposed by broken $O\left(4\right)\mathrm{}$ symmetry on Regge daughter sequences having $M=0\mathrm{}$. The constraints determine the $p\mathrm{th}$ derivative of all the daughters in terms of a finite number of constants. Similar results are obtained for daughter residues.