Patterns of High energy Massive String Scatterings in the Regge regime

Details Patterns of High energy Massive String Scatterings in the Regge regime Patterns of High energy Massive String Scatterings in the Regge regime

2008-12-22

arxiv.org/abs/0812.4190v2

JHEP 0906:028,2009

Physics

High Energy Physics

High Energy Physics - Theory

25 pages,1 figure, typos corrected, refs added

Scientific paper

10.1088/1126-6708/2009/06/028

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. We conjecture and give evidences that the existence of these GR ratios in the RR persists to subleading orders in the Regge expansion of all string scattering amplitudes. Finally, we demonstrate the universal power-law behavior for all massive string scattering amplitudes in the RR.

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