Daughter Trajectories and Unequal-Mass Scattering

Abstract

It has recently been demonstrated by Goldberger and Jones (I) and by Freedman and Wang (II) that Regge asymptotic behavior obtains at high energy even in regions in which the crossed-channel $cos\theta$ variable is constrained by unequal-mass kinematics to remain finite. Approaches I and II differ, however, in other important respects. In this note it is shown that method I can be adapted and used to prove the existence and properties of the Regge daughter trajectories found in II. In this argument, an extra assumption necessary in II is avoided, and the restriction $\alpha \mathrm{}\left(0\right)<\frac{1}{2}$ found in I is eliminated.