Massive Superstring Scatterings in the Regge Regime

Details Massive Superstring Scatterings in the Regge Regime Massive Superstring Scatterings in the Regge Regime

2010-01-29

arxiv.org/abs/1001.5392v4

Phys.Rev.D83:066016,2011

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.83.066016

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.

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