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We calculate high-energy massive string scattering amplitudes of compactified open string. We derive infinite linear relations, or stringy symmetries, among soft high-energy string scattering amplitudes of different string states in the…

High Energy Physics - Theory · Physics 2010-12-15 Jen-Chi Lee , Tomohisa Takimi , Yi Yang

We study the Regge limit of string amplitudes within the model of Polchinski-Strassler for string scattering in warped spacetimes. We also present some numerical estimations of the Regge slopes. It is quite remarkable that the real values…

High Energy Physics - Theory · Physics 2009-11-10 Oleg Andreev

The scattering amplitudes of string theory exhibit many extraordinary properties. But are they the unique mathematical objects to do so? Recently, it has been shown how the spectrum and amplitudes of open string theory follow directly from…

High Energy Physics - Theory · Physics 2025-05-01 Clifford Cheung , Aaron Hillman , Grant N. Remmen

Based on a summation algorithm for Stirling number identity developed recently, we discover that the ratios calculated previously among high energy string scattering amplitudes in the Gross regime (GR) can be extracted from the Kummer…

High Energy Physics - Theory · Physics 2009-07-15 Sheng-Lan Ko , Jen-Chi Lee , Yi Yang

We discover new hard string scattering amplitudes (HSSA) with polarizations orthogonal to the scattering plane in the NS sector of 10D open superstring theory. The corresponding HSSA in the bosonic string theory are of subleading order in…

High Energy Physics - Theory · Physics 2021-04-07 Sheng-Hong Lai , Jen-Chi Lee , Yi Yang

We discover an infinite number of recurrence relations among Regge string scattering amplitudes \cite{bosonic,RRsusy} of different string states at arbitrary mass levels in the open bosonic string theory. As a result, all Regge string…

High Energy Physics - Theory · Physics 2015-06-12 Jen-Chi Lee , Yoshihiro Mitsuka

We suggest that some of the remarkable results on stringy dynamics which have been found recently indicate the existence of another dynamical length scale in string theory that, at weak coupling, is much shorter than the string scale. This…

High Energy Physics - Theory · Physics 2007-05-23 Stephen H. Shenker

In {\em Phys.\ Lett.} {\bf B 660}, 583 (2008), it was proposed that the D-brane geometry could be produced by open string quantum effects. In an effort to verify the proposal, we consider scattering amplitudes involving {\em massive} open…

High Energy Physics - Theory · Physics 2011-08-02 I. Y. Park

We study the Regge and hard scattering limits of the one-loop amplitude for massless open string states in the type I theory. For hard scattering we find the exact coefficient multiplying the known exponential falloff in terms of the…

High Energy Physics - Theory · Physics 2014-04-23 Francisco Rojas

We use Stirling number identities developed recently in number theory to show that ratios among high energy string scattering amplitudes in the fixed angle regime can be extracted from the Kummer function of the second kind. This result not…

High Energy Physics - Theory · Physics 2009-09-23 Jen-Chi Lee , Yi Yang , Sheng-Lan Ko

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…

High Energy Physics - Theory · Physics 2011-05-10 Song He , Jen-Chi Lee , Keijiro Takahashi , Yi Yang

We propose a new splitting behavior of tree-level string/particle amplitudes for scalars, gluons and gravitons. We identify certain subspaces in the space of Mandelstam variables, where the universal Koba-Nielsen factor splits into two…

High Energy Physics - Theory · Physics 2024-08-23 Qu Cao , Jin Dong , Song He , Canxin Shi

We explore the space of meromorphic amplitudes with extra constraints coming from the shape of the leading Regge trajectory. This information comes in two guises: it bounds the maximal spin of exchanged particles of a given mass; it leads…

High Energy Physics - Theory · Physics 2024-10-28 Kelian Häring , Alexander Zhiboedov

We describe an analytic procedure whereby scattering amplitudes are bootstrapped directly from an input mass spectrum and a handful of physical constraints: crossing symmetry, boundedness at high energies, and finiteness of exchanged spins.…

High Energy Physics - Theory · Physics 2023-08-08 Clifford Cheung , Grant N. Remmen

We specialize the $N$ string scattering amplitudes for the generalized protostring to $N=4$. This allows for a much more detailed and explicit study of their basic physical and mathematical properties, such as singularity structure and high…

High Energy Physics - Theory · Physics 2022-06-14 Charles B. Thorn

String scattering amplitudes in the high energy asymptotic region have been studied by saddle point approximation. Recently, it was pointed out that infinitely many complex saddles contribute to string amplitudes even at tree-level after…

High Energy Physics - Theory · Physics 2024-09-25 Takuya Yoda

We give a complete proof of a set of identities (7) proposed recently from calculation of high-energy string scattering amplitudes. These identities allow one to extract ratios among high-energy string scattering amplitudes in the fixed…

High Energy Physics - Theory · Physics 2012-07-19 Jen-Chi Lee , Catherine H. Yan , Yi Yang

We use three different methods to calculate the proportionality constants among high-energy scattering amplitudes of different string states with polarizations on the scattering plane. These are the decoupling of high-energy zero-norm…

High Energy Physics - Theory · Physics 2008-11-26 Chuan-Tsung Chan , Jen-Chi Lee , Yi Yang

In this letter, we propose a stringy model for $n$-point tree-level form factor with the off-shell operator in the scalar and gluon theories, from the bosonic string disk amplitude: $n$ open string states and $1$ closed string state scatter…

High Energy Physics - Theory · Physics 2025-07-14 Qu Cao

Extensions (modifications) of the Heisenberg Uncertainty principle are derived within the framework of the theory of Special Scale-Relativity proposed by Nottale. In particular, generalizations of the Stringy Uncertainty Principle are…

High Energy Physics - Theory · Physics 2008-02-03 Carlos Castro