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Related papers: Twistors and Unitarity

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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

This a pedagogical introduction to scattering amplitudes in gauge theories. It proceeds from Dirac equation and Weyl fermions to the two pivot points of current developments: the recursion relations of Britto, Cachazo, Feng and Witten, and…

High Energy Physics - Theory · Physics 2017-09-13 Tomasz R. Taylor

The fundamental quantities of potential scattering theory are generalized to accommodate long-range interactions. New definitions for the scattering amplitude and wave operators valid for arbitrary interactions including potentials with a…

Nuclear Theory · Physics 2009-02-05 A. S. Kadyrov , I. Bray , A. M. Mukhamedzhanov , A. T. Stelbovics

This note reports on an independent implementation of calculating one-loop amplitudes semi-numerically using generalized unitarity techniques. The algorithm implemented in form of a C++ code closely follows the method by Ellis, Giele,…

High Energy Physics - Phenomenology · Physics 2009-02-03 Jan-Christopher Winter , Walter T. Giele

We review several recent developments in the theory and phenomenology of deep-inelastic scattering, with particular emphasis on precision tests of QCD and progress in the detailed perturbative treatment of structure functions and parton…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefano Forte

The newly discovered splitting behavior of tree-level scattering amplitudes of particles and strings has been expressed in terms of currents containing one off-shell leg. In this work, we explain how to obtain on-shell representations of…

High Energy Physics - Theory · Physics 2025-12-25 Thales Azevedo , Humberto Gomez , Renann Lipinski Jusinskas

We investigate polarization observables in hyperon-nucleon scattering by decomposing scattering amplitudes into spin-space tensors, where each component describes scattering by corresponding spin-dependent interactions, so that…

Nuclear Theory · Physics 2009-11-10 S. Ishikawa , M. Tanifuji , Y. Iseri , Y. Yamamoto

The field of scattering amplitudes plays a central role in elementary-particle physics. This includes various problems of broader interest for collider physics, gravitational physics, and fundamental principles underlying quantum field…

High Energy Physics - Theory · Physics 2022-10-10 Zvi Bern , Jaroslav Trnka

In a recent paper, Witten proposed a surprising connection between perturbative gauge theory and a certain topological model in twistor space. In particular, he showed that gluon amplitudes are localized on holomorphic curves. In this note…

High Energy Physics - Theory · Physics 2009-11-10 Simone Giombi , Riccardo Ricci , Daniel Robles-Llana , Diego Trancanelli

We analyze the twistor space structure of certain one-loop amplitudes in gauge theory. For some amplitudes, we find decompositions that make the twistor structure manifest; for others, we explore the twistor space structure by finding…

High Energy Physics - Theory · Physics 2010-04-07 Freddy Cachazo , Peter Svrcek , Edward Witten

We numerically analyze the distribution of scattering resonance widths in one- and quasi-one dimensional tight binding models, in the localized regime. We detect and discuss an algebraic decay of the distribution, similar, though not…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Terraneo , I. Guarneri

We consider a 2D ballistic and quasi-ballistic structures with spin-orbit-related splitting of the electron spectrum. The ballistic region is attached to the leads with a voltage applied between them. We calculate the edge spin density…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Alexander Khaetskii , Eugene Sukhorukov

We analyse the singular behaviour of one-loop integrals and scattering amplitudes in the framework of the loop--tree duality approach. We show that there is a partial cancellation of singularities at the loop integrand level among the…

High Energy Physics - Phenomenology · Physics 2015-06-19 Sebastian Buchta , Grigorios Chachamis , Petros Draggiotis , Ioannis Malamos , German Rodrigo

This talk reviewed some classic results and recent progress in the resummation of leading and nonleading enhancements in QCD cross sections and of poles in dimensionally-regularized hard-scattering amplitudes.

High Energy Physics - Phenomenology · Physics 2017-08-23 George Sterman

The scattering equation formalism for scattering amplitudes, and its stringy incarnation, the ambitwistor string, remains a mysterious construction. In this paper, we pursue the study a gauged-unfixed version of the ambitwistor string known…

High Energy Physics - Theory · Physics 2017-11-22 Eduardo Casali , Yannick Herfray , Piotr Tourkine

Recent progress on the physical states and scattering amplitudes of the $W_3$ string is reviewed with particular emphasis on the relation between this string theory and the Ising model.

High Energy Physics - Theory · Physics 2007-05-23 Peter West

A non-unitary version of quantum scattering is studied via an exactly solvable toy model. The model is merely asymptotically local since the smooth path of the coordinate is admitted complex in the non-asymptotic domain. At any real…

Mathematical Physics · Physics 2012-05-21 Miloslav Znojil

We describe the unitarity approach for the numerical computation of two-loop integral coefficients of scattering amplitudes. It is well known that the leading propagator singularities of an amplitude's integrand are related to products of…

High Energy Physics - Phenomenology · Physics 2017-06-07 S. Abreu , F. Febres Cordero , H. Ita , M. Jaquier , B. Page

This article gives an overview of many of the recent developments in understanding the structure of relativistic scattering amplitudes in gauge theories ranging from QCD to N=4 super-Yang-Mills theory, as well as (super)gravity. I also…

High Energy Physics - Theory · Physics 2015-05-28 Lance J. Dixon

I review some of the lattice results on spectroscopy and resonances in the past years. For the conventional hadron spectrum computations, focus has been put on the isospin breaking effects, QED effects, and simulations near the physical…

High Energy Physics - Lattice · Physics 2016-12-02 Chuan Liu