Massive Superstring Scatterings in the Regge Regime

Abstract

We calculate four classes of high energy massive string scattering amplitudes of fermionic string theory at arbitrary mass levels in the Regge regime (RR). We show that all four leading order amplitudes in the RR can be expressed in terms of the Kummer function of the second kind. Based on the summation algorithm of a set of extended signed Stirling number identities, we show that all four ratios calculated previously by the method of decoupling of zero-norm states among scattering amplitudes in the Gross Regime (GR) can be extracted from this Kummer function in the RR. Finally, we conjecture and give evidences that the existence of these four GR ratios in the RR persists to subleading orders in the Regge expansion of all high energy fermionic string scattering amplitudes.

35 pages, 1 figure. v3:41 pages,Eqs. added,typos corrected. v4:typos corrected,final accepted by PRD

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• High-Energy String Scattering Amplitudes and Signless Stirling Number Identity
• Regge Closed String Scattering and its Implication on Fixed angle Closed String Scattering
• To see Symmetry in a Forest of Trees
• Recurrence Relations of Higher Spin BPST Vertex Operators for Open String
• New bosonic hard string scattering amplitudes and extended Gross conjecture in superstring theory
• String Scattering Amplitudes in High Energy Limits