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Related papers: Open & Closed vs. Pure Open String One-Loop Amplit…

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We present on the use of on-shell recursion relations. These can be used not only for calculating tree amplitudes, including those with masses, but also to compute analytically the missing rational terms of one-loop QCD amplitudes. Combined…

High Energy Physics - Phenomenology · Physics 2017-08-23 Darren Forde

We consider string theory in a time dependent orbifold with a null singularity. The singularity separates a contracting universe from an expanding universe, thus constituting a big crunch followed by a big bang. We quantize the theory both…

High Energy Physics - Theory · Physics 2009-11-07 Hong Liu , Gregory Moore , Nathan Seiberg

Soft behaviour of closed string amplitudes involving dilatons, gravitons and anti-symmetric tensors, is studied in the framework of bosonic string theory. The leading double soft limit of gluons is analysed as well, starting from scattering…

High Energy Physics - Theory · Physics 2016-11-03 Paolo Di Vecchia , Raffaele Marotta , Matin Mojaza

We report on recent progress in the use of string techniques for the computation of field theory amplitudes. We show how one-loop renormalization constants in Yang-Mills theory can be computed using the open spinning string, we review the…

High Energy Physics - Theory · Physics 2007-05-23 P. Di Vecchia , L. Magnea , R. Marotta , A. Lerda , R. Russo

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

At tree-level, gravity amplitudes are obtainable directly from gauge theory amplitudes via the Kawai, Lewellen and Tye closed-open string relations. We explain how the unitarity method allows us to use these relations to obtain coefficients…

High Energy Physics - Theory · Physics 2009-11-11 Zvi Bern , N. E. J. Bjerrum-Bohr , David C. Dunbar

This is the first installment of a series of three papers in which we describe a method to determine higher-point correlation functions in one-loop open-superstring amplitudes from first principles. In this first part, we exploit the…

High Energy Physics - Theory · Physics 2019-09-11 Carlos R. Mafra , Oliver Schlotterer

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

We present examples of on-shell recurrence relations for determining rational functions appearing in one-loop QCD amplitudes. In particular, we give relations for one-loop QCD amplitudes with all legs of positive helicity, or with one leg…

High Energy Physics - Theory · Physics 2010-11-15 Zvi Bern , Lance J. Dixon , David A. Kosower

We compute the closed-string cylinder amplitude between one Dp brane and the other Dp$\prime$ brane, placed parallel at a separation, with each carrying a general constant worldvolume flux and with $p - p' = 0, 2, 4, 6$ and $p \le 6$. For…

High Energy Physics - Theory · Physics 2020-07-23 Qiang Jia , J. X. Lu , Zihao Wu , Xiaoying Zhu

Following the idea of Refs.[1,2], the double-copy-like decomposition of exchanged internal states in the world-line limit of one-loop string amplitudes is systematically formulated and generalized to both bosonic and heterotic string…

High Energy Physics - Theory · Physics 2026-02-03 Yao Li

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 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 discuss nontrivial examples illustrating that perturbative gravity is in some sense the `square' of gauge theory. This statement can be made precise at tree-level using the Kawai, Lewellen and Tye relations between open and closed string…

High Energy Physics - Theory · Physics 2007-05-23 Z. Bern , L. Dixon , D. C. Dunbar , M. Perelstein , J. S. Rozowsky

We show how string theory can be used to reproduce the one-loop two-point photon amplitude in noncommutative U(1) gauge theory. Using a simple realization of the gauge theory in bosonic string theory, we extract from a string cylinder…

High Energy Physics - Theory · Physics 2010-11-26 Jaume Gomis , Matthew Kleban , Thomas Mehen , Mukund Rangamani , Stephen Shenker

Noncommutative \phi^3 field theory in six dimensions exhibits the logarithmic UV/IR mixing at the two-loop order. We show that open string theory in the presence of constant background NS-NS two-form field yields the same amplitude upon…

High Energy Physics - Theory · Physics 2008-11-26 Youngjai Kiem , Sangmin Lee , Jaemo Park

We incorporate closed string field into Kaku's open string field theory which is defined by using Kaku vertex, and we construct open-closed string field theory. To do this, we define new consistent open-closed vertex and open-open-closed…

High Energy Physics - Theory · Physics 2025-04-04 Yuji Ando

We study closed string one-loop amplitudes in string theory, in particular the average mass shift for states at given mass and Neveu-Schwarz charges. Our analysis is based only on well-defined string amplitudes and the exploitation of…

High Energy Physics - Theory · Physics 2015-05-13 Diego Chialva

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

Inspired by earlier results on recursions for open-string tree-level amplitudes, and by a result of Brown and Dupont relating open- and closed-string tree-level amplitudes via single-valued periods, we identify a recursive relation for…

High Energy Physics - Theory · Physics 2024-12-24 Konstantin Baune , Johannes Broedel , Federico Zerbini
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