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AMPLITUDES SIGNED

Manifesting the Simplicity of Scattering Amplitudes

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Project "AMPLITUDES" data sheet

The following table provides information about the project.

Coordinator
KOBENHAVNS UNIVERSITET 

Organization address
address: NORREGADE 10
city: KOBENHAVN
postcode: 1165
website: www.ku.dk

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Denmark [DK]
 Total cost 1˙499˙695 €
 EC max contribution 1˙499˙695 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2017-STG
 Funding Scheme ERC-STG
 Starting year 2018
 Duration (year-month-day) from 2018-02-01   to  2023-01-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    KOBENHAVNS UNIVERSITET DK (KOBENHAVN) coordinator 1˙499˙695.00

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 Project objective

I propose a program of research that may forever change the way that we understand and use quantum field theory to make predictions for experiment. This will be achieved through the advancement of new, constructive frameworks to determine and represent scattering amplitudes in perturbation theory in terms that depend only on observable quantities, make manifest (all) the symmetries of the theory, and which can be efficiently evaluated while minimally spoiling the underlying simplicity of predictions. My research has already led to the discovery and development of several approaches of this kind.

This proposal describes the specific steps required to extend these ideas to more general theories and to higher orders of perturbation theory. Specifically, the plan of research I propose consists of three concrete goals: to fully characterize the discontinuities of loop amplitudes (`on-shell functions') for a broad class of theories; to develop powerful new representations of loop amplitude {it integrands}, making manifest as much simplicity as possible; and to develop new techniques for loop amplitude {integration} that are compatible with and preserve the symmetries of observable quantities.

Progress toward any one of these objectives would have important theoretical implications and valuable practical applications. In combination, this proposal has the potential to significantly advance the state of the art for both our theoretical understanding and our computational reach for making predictions for experiment.

To achieve these goals, I will pursue a data-driven, `phenomenological' approach—involving the construction of new computational tools, developed in pursuit of concrete computational targets. For this work, my suitability and expertise is amply demonstrated by my research. I have not only played a key role in many of the most important theoretical developments in the past decade, but I have personally built the most powerful computational tools for their

 Publications

year authors and title journal last update
List of publications.
2019 Paolo Benincasa
Cosmological Polytopes and the Wavefuncton of the Universe for Light States
published pages: , ISSN: , DOI:
2019-10-03
2018 Nima Arkani-Hamed, Paolo Benincasa
On the Emergence of Lorentz Invariance and Unitarity from the Scattering Facet of Cosmological Polytopes
published pages: , ISSN: , DOI:
2019-10-03
2018 Paolo Benincasa
From the flat-space S-matrix to the Wavefunction of the Universe
published pages: , ISSN: , DOI:
2019-10-03
2019 John Golden, Andrew J. McLeod, Marcus Spradlin, Anastasia Volovich
The Sklyanin bracket and cluster adjacency at all multiplicity
published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP03(2019)195
Journal of High Energy Physics 2019/3 2019-10-01
2018 Jacob L. Bourjaily, Andrew J. McLeod, Matt von Hippel, Matthias Wilhelm
Rationalizing loop integration
published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP08(2018)184
Journal of High Energy Physics 2018/8 2019-10-01
2019 Jacob L. Bourjaily, Falko Dulat, Erik Panzer
Manifestly dual-conformal loop integration
published pages: 251-302, ISSN: 0550-3213, DOI: 10.1016/j.nuclphysb.2019.03.022
Nuclear Physics B 942 2019-10-01
2019 Aleix Gimenez Grau, Charlotte Kristjansen, Matthias Volk, Matthias Wilhelm
A quantum check of non-supersymmetric AdS/dCFT
published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP01(2019)007
Journal of High Energy Physics 2019/1 2019-10-01
2019 Jacob L. Bourjaily, Enrico Herrmann, Cameron Langer, Andrew J. McLeod, and Jaroslav Trnka
Prescriptive Unitarity for Non-Planar Six-Particle Amplitudes at Two Loops
published pages: , ISSN: , DOI:
2019-10-01
2018 Cardona, Carlos
OPE inversion in Mellin space
published pages: , ISSN: , DOI:
1 2019-10-01
2019 John Golden, Andrew J. McLeod
Cluster algebras and the subalgebra constructibility of the seven-particle remainder function
published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP01(2019)017
Journal of High Energy Physics 2019/1 2019-10-01
2018 Troels Harmark, Matthias Wilhelm
The Hagedorn temperature of AdS5/CFT4 at finite coupling via the Quantum Spectral Curve
published pages: 53-58, ISSN: 0370-2693, DOI: 10.1016/j.physletb.2018.09.033
Physics Letters B 786 2019-10-01
2019 Simon Caron-Huot, Lance J. Dixon, Falko Dulat, Matt von Hippel, Andrew J. McLeod, Georgios Papathanasiou
Six-Gluon amplitudes in planar N $$ mathcal{N} $$ = 4 super-Yang-Mills theory at six and seven loops
published pages: , ISSN: 1029-8479, DOI: 10.1007/jhep08(2019)016
Journal of High Energy Physics 2019/8 2019-10-01
2018 Simon Caron-Huot, Lance J. Dixon, Matt von Hippel, Andrew J. McLeod, Georgios Papathanasiou
The double pentaladder integral to all orders
published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP07(2018)170
Journal of High Energy Physics 2018/7 2019-10-01
2019 Jacob L. Bourjaily, Enrico Herrmann, Jaroslav Trnka
Maximally supersymmetric amplitudes at infinite loop momentum
published pages: , ISSN: 2470-0010, DOI: 10.1103/PhysRevD.99.066006
Physical Review D 99/6 2019-10-01
2018 Carlos Cardona, Kallol Sen
Anomalous dimensions at finite conformal spin from OPE inversion
published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP11(2018)052
Journal of High Energy Physics 2018/11 2019-10-01
2019 Jacob L. Bourjaily, Andrew J. McLeod, Matt von Hippel, Matthias Wilhelm
Bounded Collection of Feynman Integral Calabi-Yau Geometries
published pages: , ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.122.031601
Physical Review Letters 122/3 2019-10-01
2019 Simon Caron-Huot, Lance J. Dixon, Falko Dulat, Matt von Hippel, Andrew J. McLeod, Georgios Papathanasiou
The cosmic Galois group and extended Steinmann relations for planar N $$ mathcal{N} $$ = 4 SYM amplitudes
published pages: , ISSN: 1029-8479, DOI: 10.1007/jhep09(2019)061
Journal of High Energy Physics 2019/9 2019-10-01
2018 Jacob L. Bourjaily, Yang-Hui He, Andrew J. McLeod, Matt von Hippel, Matthias Wilhelm
Traintracks through Calabi-Yau Manifolds: Scattering Amplitudes beyond Elliptic Polylogarithms
published pages: , ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.121.071603
Physical Review Letters 121/7 2019-10-01

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