Patterns of High energy Massive String Scatterings in the Regge regime

Understand

We calculate high energy massive string scattering amplitudes of open bosonic string in the Regge regime (RR).

• We found that the number of high energy amplitudes for each fixed mass level in the RR is much more numerous than that of Gross regime (GR) calculated previously.
• Moreover, we discover that the leading order amplitudes in the RR can be expressed in terms of the Kummer function of the second kind.
• In particular, based on a summation algorithm for Stirling number identity, we discover that the ratios calculated previously among scattering amplitudes in the GR can be extracted from this Kummer function in the RR.