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Related papers: One-loop Massive Scattering Amplitudes and Ward Id…

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We study string scattering amplitudes by using the deformed cubic string field theory which is equivalent to the string field theory in the proper-time gauge. The four-string scattering amplitudes with three tachyons and an arbitrary string…

High Energy Physics - Theory · Physics 2018-02-02 Sheng-Hong Lai , Jen-Chi Lee , Yi Yang , Taejin Lee

The decomposition of a one-loop scattering amplitude into elementary functions with rational coefficients introduces spurious singularities which afflict individual coefficients but cancel in the complete amplitude. These cancellations…

High Energy Physics - Theory · Physics 2013-05-29 David C. Dunbar , James H. Ettle , Warren B. Perkins

We express one-loop string amplitudes involving both open and closed strings as sum over pure open string amplitudes. These findings generalize the analogous tree-level result to higher loops and extend the tree-level observation that in…

High Energy Physics - Theory · Physics 2022-02-10 S. Stieberger

We calculate one-loop 2-point tachyon amplitudes in unoriented open-closed string field theory, and determine all the coupling constants of the interaction vertices in the theory. It is shown that the planar, nonplanar and nonorientable…

High Energy Physics - Theory · Physics 2009-10-31 Tsuguhiko Asakawa , Taichiro Kugo , Tomohiko Takahashi

The multiloop amplitudes for open bosonic string in presence of a constant B-field are derived from first principles. The basic ingredients of the construction are the commutation relations for the string modes and the Reggeon vertex…

High Energy Physics - Theory · Physics 2015-06-25 Chong-Sun Chu , Rodolfo Russo

We show that there exist infinite number of recurrence relations valid for all energies among the open bosonic string scattering amplitudes (SSA) of three tachyons and one arbitrary string state, or the Lauricella SSA. Moreover, these…

High Energy Physics - Theory · Physics 2017-10-25 Sheng-Hong Lai , Jen-Chi Lee , Taejin Lee , Yi Yang

In this paper we extend the study initiated in arXiv:2302.04709v2 [hep-th] to the computation of one-loop elastic amplitudes. We consider 1+1 dimensional massive bosonic Lagrangians with polynomial-like potentials and absence of inelastic…

High Energy Physics - Theory · Physics 2024-03-08 Matheus Fabri , Davide Polvara

A formal relationship between scattering amplitudes in critical bosonic string theory and correlation functions of operators in topological string theory is found.

High Energy Physics - Theory · Physics 2016-09-06 Roger Brooks

In this paper we show that in perturbative string theory the genus-one contribution to formal 2-point amplitudes can be related to the genus-zero contribution to 4-point amplitudes. This is achieved by studying special linear combinations…

Number Theory · Mathematics 2020-04-30 Don Zagier , Federico Zerbini

The monodromy relations in string theory provide a powerful and elegant formalism to understand some of the deepest properties of tree-level field theory amplitudes, like the color-kinematics duality. This duality has been instrumental in…

High Energy Physics - Theory · Physics 2017-07-24 Piotr Tourkine , Pierre Vanhove

In this paper we continue our investigation of superstring scattering amplitudes in the conformal basis. We focus on the case of four graviton scattering processes at 1-loop in \emph{closed} superstring theory. We write the expression for…

High Energy Physics - Theory · Physics 2025-04-28 Anthonny F. Canazas Garay , Gaston Giribet , Yoel Parra-Cisterna , Francisco Rojas

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

High-energy limit of zero-norm states (HZNS) in the old covariant first quantized (OCFQ) spectrum of the 26D open bosonic string, together with the assumption of a smooth behavior of string theory in this limit, are used to derive…

High Energy Physics - Theory · Physics 2009-11-11 Chuan-Tsung Chan , Pei-Ming Ho , Jen-Chi Lee , Shunsuke Teraguchi , 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

We use recently obtained 2-loop string coupling constants to analyze a class of string models based on orbifold compactification. Assuming weak coupling at the string scale and single-scale unification leads to restrictions on the spectrum…

High Energy Physics - Phenomenology · Physics 2009-10-22 Mary K. Gaillard , Rulin Xiu

We overview symmetries of string scattering amplitudes in the high energy limits of both the fixed angle or Gross regime (GR) and the fixed momentum transfer or Regge regime (RR). We calculated high energy string scattering amplitudes (SSA)…

High Energy Physics - Theory · Physics 2019-08-13 Jen-Chi Lee , Yi Yang

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

We calculate one-loop string amplitudes of open and closed strings with N=1,2,4 supersymmetry in four and six dimensions, by compactification on Calabi-Yau and K3 orbifolds. In particular, we develop a method to combine contributions from…

High Energy Physics - Theory · Physics 2017-05-10 Marcus Berg , Igor Buchberger , Oliver Schlotterer

We establish an efficient polynomial-complexity algorithm for one-loop calculations, based on generalized $D$-dimensional unitarity. It allows automated computations of both cut-constructible {\it and} rational parts of one-loop scattering…

High Energy Physics - Phenomenology · Physics 2009-09-17 Walter T. Giele , Zoltan Kunszt , Kirill Melnikov

The massless QCD Lagrangian is conformally invariant and, as a consequence, so are the tree-level scattering amplitudes. However, the implications of this powerful symmetry at loop level are only beginning to be explored systematically.…

High Energy Physics - Theory · Physics 2020-03-18 Johannes Henn , Bláithín Power , Simone Zoia