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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

KLT relations almost factorize closed string amplitudes on $S_2$ by two open string tree amplitudes which correspond to the left- and the right- moving sectors. In this paper, we investigate string amplitudes on $D_2$ and $RP_2$. We find…

High Energy Physics - Theory · Physics 2009-10-06 Yi-Xin Chen , Yi-Jian Du , Qian Ma

We study the soft behavior of string scattering amplitudes at three level with massless and massive external insertions, relying on different techniques to compute 4-points amplitudes respectively with open or closed strings.

High Energy Physics - Theory · Physics 2016-01-15 Massimo Bianchi , Andrea L. Guerrieri

We revisit the relations between open and closed string scattering amplitudes discovered by Kawai, Lewellen, and Tye (KLT). We show that they emerge from the underlying algebro-topological identities known as the twisted period relations.…

High Energy Physics - Theory · Physics 2017-08-25 Sebastian Mizera

Open string amplitudes at tree level have been studied for over fifty years, but there is no known analytic form for general $n$-point amplitudes, and their conventional representation in terms of worldsheet integrals does not make many of…

High Energy Physics - Theory · Physics 2025-04-23 Nima Arkani-Hamed , Carolina Figueiredo , Grant N. Remmen

We uncover a relation between the scattering amplitudes of massive strings and the $\alpha'$ expansion of the massless string amplitude at tree level. More precisely, the n-point tree amplitude of n-1 massless and one massive state is…

High Energy Physics - Theory · Physics 2023-11-22 Sitender Pratap Kashyap , Carlos R. Mafra , Mritunjay Verma , Luis Alberto Ypanaqué

In this text we review various relations between building blocks of closed and open string amplitudes at tree-level and genus one. We explain that KLT relations between tree-level closed and open string amplitudes follow from the…

High Energy Physics - Theory · Physics 2021-01-22 Pierre Vanhove , Federico Zerbini

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

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

We consider, in a string theory framework, physical processes of phenomenological interest in models with a low string scale. The amplitudes we study involve tree-level virtual gravitational exchange, divergent in a field-theoretical…

High Energy Physics - Theory · Physics 2011-07-19 E. Dudas , J. Mourad

We re-examine a closed-string model defined by altering the boundary conditions for one handedness of two-dimensional propagators in otherwise-standard string theory. We evaluate the amplitudes using Kawai-Lewellen-Tye factorization into…

High Energy Physics - Theory · Physics 2016-10-12 Yu-tin Huang , Warren Siegel , Ellis Ye Yuan

We analyze open and mixed sector tree-level amplitudes of N=2 strings in a space-time with (2,2) signature, in the presence of constant B field. The expected topological nature of string amplitudes in the open sector is shown to impose…

High Energy Physics - Theory · Physics 2010-02-03 Alok Kumar , Aalok Misra , Kamal Lochan Panigrahi

We derive a general expression for on-shell recursion relations of closed string tree-level amplitudes. Starting with the string amplitudes written in the form of the Koba-Nielsen integral, we apply the BCFW shift to deform them. In…

High Energy Physics - Theory · Physics 2025-03-11 Pongwit Srisangyingcharoen , Aphiwat Yuenyong

The gluon tree amplitudes of open twistor string theory, defined as contour integrals over the ACCK link variables, are shown to satisfy the BCFW relations, thus confirming that they coincide with the corresponding amplitudes in gauge field…

High Energy Physics - Theory · Physics 2015-06-03 Louise Dolan , Peter Goddard

We extend an earlier proposal for a gauge invariant description of off-shell open strings (at tree level), using loop variables, to off-shell closed strings (at tree level). The basic idea is to describe the closed string amplitudes as a…

High Energy Physics - Theory · Physics 2009-11-10 B. Sathiapalan

At the tree level, the scattering processes involving open and closed strings are described by a disk world-sheet with vertex operator insertions at the boundary and in the bulk. Such amplitudes can be decomposed as certain linear…

High Energy Physics - Theory · Physics 2016-02-17 Stephan Stieberger , Tomasz R. Taylor

Two-point tree-level amplitudes in bosonic closed string theory are described by a correlation function within the BRST formalism, which respects manifest Lorentz and conformal invariance. In the derivation of the two-point amplitudes, we…

High Energy Physics - Theory · Physics 2024-02-13 Isao Kishimoto , Shigenori Seki , Tomohiko Takahashi

Scattering equations for tree-level amplitudes are viewed in the context of string theory. As a result of the comparison we are led to define a new dual model which coincides with string theory in both the small and large $\alpha'$ limit,…

High Energy Physics - Theory · Physics 2015-06-19 N. E. J Bjerrum-Bohr , P. H. Damgaard , P. Tourkine , P. Vanhove

Using the recent proposal for the observables in open string field theory, we explicitly compute the coupling of closed string tachyon and massless states with the open string states up to level two. Using these couplings, we then calculate…

High Energy Physics - Theory · Physics 2009-11-07 Mohsen Alishahiha , Mohammad R. Garousi

Four-particle tree-level scattering amplitudes in string theory are magically consistent with unitarity, reflected in the non-trivial fact that beneath the critical dimension, the residues of the amplitudes on massive poles can be expanded…

High Energy Physics - Theory · Physics 2022-03-14 Nima Arkani-Hamed , Lorenz Eberhardt , Yu-tin Huang , Sebastian Mizera
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