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We evaluate the one-loop four-graviton scattering amplitude in type-II superstring theory exactly in $\alpha'$. This result is achieved by combining physical insights into the $i\varepsilon$ prescription in string theory with a new…

High Energy Physics - Theory · Physics 2026-02-25 Marco Maria Baccianti , Lorenz Eberhardt , Sebastian Mizera

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

We evaluate one-loop open-string amplitudes at finite $\alpha'$ for the first time. Our method involves a deformation of the integration contour over the modular parameter $\tau$ to a fractal contour introduced by Rademacher in the context…

High Energy Physics - Theory · Physics 2023-09-27 Lorenz Eberhardt , Sebastian Mizera

We compute explicitly the four-particle amplitude in superstring theories by using the hyperelliptic language and the newly obtained chiral measure of D'Hoker and Phong. Although the algebra of the intermediate steps is a little bit…

High Energy Physics - Theory · Physics 2010-04-05 Zhu-Jun Zheng , Jun-Bao Wu , Chuan-Jie Zhu

We compute one-loop amplitudes in six-dimensional Yang-Mills theory with half-maximal supersymmetry from first principles: imposing gauge invariance and locality on an ansatz made from string-theory inspired kinematic building blocks yields…

High Energy Physics - Theory · Physics 2017-09-13 Marcus Berg , Igor Buchberger , Oliver Schlotterer

A formulation of Einstein gravity, analogous to that for gauge theory arising from the Chalmers-Siegel action, leads to a perturbation theory about an asymmetric weak coupling limit that treats positive and negative helicities differently.…

High Energy Physics - Theory · Physics 2009-11-11 M. Abou-Zeid , C. M. Hull

I give an overview of open, closed and heterotic N=2 strings. At the tree level I derive the effective field theories of all the strings, and discuss the group theory of the N=2 open string and the interaction between its open and closed…

High Energy Physics - Theory · Physics 2008-02-03 Neil Marcus

We discuss the breakdown of perturbative unitarity of noncommutative quantum field theories in electric-type background in the light of string theory. We consider the analytic structure of string loop two-point functions using a suitable…

High Energy Physics - Theory · Physics 2009-11-07 Alessandro Torrielli

We study the twisted (co)homology of a family of genus-one integrals -- the so called Riemann-Wirtinger integrals. These integrals are closely related to one-loop string amplitudes in chiral splitting where one leaves the loop-momentum,…

High Energy Physics - Theory · Physics 2024-07-09 Rishabh Bhardwaj , Andrzej Pokraka , Lecheng Ren , Carlos Rodriguez

The open- and closed-string three- and four-point one-loop amplitudes involving massless states and one first-level massive state are computed in pure spinor superspace. For the open string, we show that their one-loop correlators can be…

High Energy Physics - Theory · Physics 2025-08-14 Carlos R. Mafra

The two-loop Feynman diagram contribution to the four-graviton amplitude of eleven-dimensional supergravity compactified on a two-torus, T^2, is analyzed in detail. The Schwinger parameter integrations are re-expressed as integration over…

High Energy Physics - Theory · Physics 2008-11-26 Michael B. Green , Hwang-h. Kwon , Pierre Vanhove

The low-energy limit of the massless two-loop five-point amplitudes for both type IIA and type IIB superstrings is computed with the pure spinor formalism and its overall coefficient determined from first principles. For the type IIB…

High Energy Physics - Theory · Physics 2016-03-02 Humberto Gomez , Carlos R. Mafra , Oliver Schlotterer

Are perturbative superstring amplitudes for massless external states just an $\alpha'$ dressing of super-Yang-Mills/supergravity? This is the case at tree level, where the worldsheet correlators at $n$ points can be written in a natural…

High Energy Physics - Theory · Physics 2025-10-06 Ricardo Monteiro , Lecheng Ren

Conformal supergravity arises in presently known formulations of twistor-string theory either via closed strings or via gauge-singlet open strings. We explore this sector of twistor-string theory, relating the relevant string modes to the…

High Energy Physics - Theory · Physics 2010-04-07 Nathan Berkovits , Edward Witten

We calculate field theory loop amplitudes by string methods, applied to half-maximal 4-point one-loop graviton amplitudes. Infrared divergences are regulated similarly to soft-collinear effective field theory (SCET): new mass scales are…

High Energy Physics - Theory · Physics 2026-03-31 Marcus Berg , Michael Haack , Yonatan Zimmerman

This paper discusses some results on semiclassical string configurations lying in the IR sector of supergravity backgrounds dual to confining gauge theories. On the gauge theory side, the string states we analyse correspond to Wilson loops,…

High Energy Physics - Theory · Physics 2009-11-11 Luca Martucci

In theories of closed oriented superstrings, the one loop amplitude is given by a single diagram, with the topology of a torus. Its interpretation had remained obscure, because it was formally real, converged only for purely imaginary…

High Energy Physics - Theory · Physics 2010-11-01 E. D'Hoker , D. H. Phong

The inverse amplitude method is analysed to two-loop order in the chiral expansion in the case of $\pi\pi$ scattering and the pion form factors. The analysis is mainly restricted to the elastic approximation but the possible extension to…

High Energy Physics - Phenomenology · Physics 2014-11-17 Torben Hannah

In this article we present the worldsheet integrand for one-loop amplitudes in maximally supersymmetric superstring theory involving any number n of massless open string states. The polarization dependence is organized into the same BRST…

High Energy Physics - Theory · Physics 2014-09-03 Carlos R. Mafra , Oliver Schlotterer

We compute the imaginary parts of genus-one string scattering amplitudes. Following Witten's $i\varepsilon$ prescription for the integration contour on the moduli space of worldsheets, we give a general algorithm for computing unitarity…

High Energy Physics - Theory · Physics 2023-02-08 Lorenz Eberhardt , Sebastian Mizera