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We initiate the study of multiloop scattering amplitudes in the Nambu-Goto theory on the worldsheet of a non-critical string. We start with a brute force calculation of two loop four particle scattering. Somewhat surprisingly, even though…

High Energy Physics - Theory · Physics 2016-05-20 Peter Conkey , Sergei Dubovsky

We calculate massive string scattering amplitudes of compactified open string in the Regge regime. We extract the complete infinite ratios among high-energy amplitudes of different string states in the fixed angle regime from these Regge…

High Energy Physics - Theory · Physics 2012-12-03 Song He , Jen-Chi Lee , Yi Yang

The similarity between tree-level string theory scalar amplitudes, the Koba-Nielsen form ($S^{1}$) and the Virasoro-Shapiro form ($S^{2}$) suggests a natural $S^{n}$ generalization for a scalar amplitude. It is shown that the $S^{n}$…

High Energy Physics - Theory · Physics 2008-02-03 Makoto Natsuume

We study bosonic closed string scattering amplitudes in the high-energy limit. We find that the methods of decoupling of high-energy zero-norm states and the high-energy Virasoro constraints, which were adopted in the previous works to…

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

We explicitly compute the Compton amplitude for the scattering of a photon and a (massless) ``electron/positron'' at tree level and one loop, in a four-dimensional fermionic heterotic string model. We comment on the relationship between the…

High Energy Physics - Theory · Physics 2009-10-30 A. Pasquinucci , M. Petrini

We calculate the amplitude for a non-excited closed string with nonzero winding number to scatter from a D-string with a near critical E field. We go to the NCOS limit and observe that we get the same result if we adopt another approach put…

High Energy Physics - Theory · Physics 2008-11-26 Fredric Kristiansson , Peter Rajan

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

The theoretical predictions for the subtraction constants lead to a very accurate dispersive representation of the pi pi scattering amplitude below 0.8 GeV. The extension of this representation up to the maximum energy of validity of the…

High Energy Physics - Phenomenology · Physics 2015-06-03 Irinel Caprini , Gilberto Colangelo , Heinrich Leutwyler

We study the low-energy effective action governing the transverse fluctuations of a long string, such as a confining flux tube in QCD. We work in the static gauge where this action contains only the transverse excitations of the string. The…

High Energy Physics - Theory · Physics 2015-06-03 Ofer Aharony , Matthew Dodelson

We propose a numerical method to approximate the scattering amplitudes for the elasticity system with a non-constant matrix potential in dimensions $d=2$ and $3$. This requires to approximate first the scattering field, for some incident…

Numerical Analysis · Mathematics 2021-07-27 Juan A. Barceló , Carlos Castro

We investigate the space of massive two-dimensional theories with a global U(N) symmetry and no bound states. Following S-matrix bootstrap principles, we establish rigorous bounds on the space of consistent $2 \rightarrow 2$ scattering…

High Energy Physics - Theory · Physics 2025-04-30 Lucía Cordova , Ricardo Rodrigues

By properly treating the path integral over the boundary value of the Liouville field (associated with reparametrizations of the boundary contour) in open string theory, we derive consistent off-shell scattering amplitudes in d=26…

High Energy Physics - Theory · Physics 2014-11-21 Yuri Makeenko , Poul Olesen

We discover that the 26D open bosonic string scattering amplitudes (SSA) of three tachyons and one arbitrary string state can be expressed in terms of the D-type Lauricella functions with associated SL(K+3,C) symmetry. As a result, SSA and…

High Energy Physics - Theory · Physics 2016-03-02 Sheng-Hong Lai , Jen-Chi Lee , Yi Yang

We calculate the leading-order scattering amplitude of one vector and two tensor gauge bosons in a recently proposed non-Abelian tensor gauge field theory and open superstring theory. The linear in momenta part of the superstring amplitude…

High Energy Physics - Theory · Physics 2014-11-20 Ignatios Antoniadis , George Savvidy

The proper-time regularization of bosonic string reproduces the results of canonical quantization in a special scaling limit where the length in target space has to be renormalized. We repeat the analysis for the Pauli-Villars…

High Energy Physics - Theory · Physics 2017-11-22 J. Ambjorn , Y. Makeenko

The tree-level type II superstring theory scattering amplitude of two dilatons and two dilatinos is explicitly calculated from the Kawai-Lewellen-Tye relations. The corresponding Regge behavior is obtained.

High Energy Physics - Theory · Physics 2025-10-01 Lucas Martin , Martin Parlanti , Martin Schvellinger

When scattering amplitudes are calculated in the double-logarithmic approximation, it is possible to relate the double-logarithmic on-shell and off-shell amplitudes. Explicit relations are obtained for scattering amplitudes in QED, QCD, and…

High Energy Physics - Phenomenology · Physics 2008-11-26 B. I. Ermolaev , M. Greco , F. Olness , S. I. Troyan

We calculate the complete closed string high energy scattering amplitudes (HSA) in the Regge regime for arbitrary mass levels. As an application, we deduce the complete ratios among closed string HSA in the fixed angle regime by using…

High Energy Physics - Theory · Physics 2015-09-25 Jen-Chi Lee , Yi Yang

Scattering amplitudes for discrete states in 2D string theory are considered. Pole divergences of tree-level amplitudes are extracted and residues are interpreted as renormalized amplitudes for discrete states. An effective Lagrangian…

High Energy Physics - Theory · Physics 2015-06-26 I. Ya. Aref'eva , A. P. Zubarev

The effective action on long strings, such as confining strings in pure Yang-Mills theories, is well-approximated by the Nambu-Goto action, but this action cannot be exact. The leading possible corrections to this action (in a long string…

High Energy Physics - Theory · Physics 2010-12-17 Ofer Aharony , Nizan Klinghoffer