Manifesting the Simplicity of Scattering Amplitudes

Project Information

AMPLITUDES

Grant agreement ID: 757978

DOI

10.3030/757978

Project closed

EC signature date 5 September 2017

Start date 1 February 2018

End date 31 January 2023

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 499 695,00

EU contribution

€ 1 499 695,00

Coordinated by

KOBENHAVNS UNIVERSITET
Denmark

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (57)

An Operator Product Expansion for Form Factors III. Finite Coupling and Multi-Particle Contributions

Author(s): Amit Zever; Alexander Tumanov; Matthias Wilhelm
Published in: Journal of High Energy Physics, Issue 10298479, 2022, Page(s) 128, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep03(2022)128

"Elliptic, Yangian-Invariant ""Leading Singularity"""

Author(s): Jacob L. Bourjaily; Nikhil Kalyanapuram; Cameron Langer; Kokkimidis Patatoukos; Marcus Spradlin
Published in: Physical Review Letters, Issue 00319007, 2021, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.126.201601

Positive geometry, local triangulations, and the dual of the Amplituhedron

Author(s): Enrico Herrmann; Cameron Langer; Jaroslav Trnka; Minshan Zheng
Published in: Journal of High Energy Physics, Issue 10298479, 2021, Page(s) 35, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep01(2021)035

Illustrations of integrand-basis building at two loops

Author(s): Jacob Bourjaily; Cameron Langer; Yaqi Zhang
Published in: Journal of High Energy Physics, Issue 10298479, 2022, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep08(2022)176

Embedding Feynman integral (Calabi-Yau) geometries in weighted projective space

Author(s): Jacob L. Bourjaily, Andrew J. McLeod, Cristian Vergu, Matthias Volk, Matt von Hippel, Matthias Wilhelm
Published in: Journal of High Energy Physics, Issue 2020/1, 2020, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep01(2020)078

Integrands of less-supersymmetric Yang-Mills at one loop

Author(s): Jacob Bourjaily; Enrico Herrmann; Cameron Langer; Kokkimidis Patatoukos; Jaroslav Trnka; Minshan Zheng
Published in: Journal of High Energy Physics, Issue 10298479, 2022, Page(s) 126, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep03(2022)126

Holographic soft S -matrix in QED and gravity

Author(s): Nikhil Kalyanapuram
Published in: Physical Review D, Issue 00319007, 2021, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.48550/arxiv.2105.04314

Prescriptive unitarity with elliptic leading singularities

Author(s): Jacob Bourjaily; Nikhil Kalyanapuram; Cameron Langer; Kokkimidis Patatoukos
Published in: Physical Review D, Issue 00319007, 2021, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevd.104.125009

Geometric recursion from polytope triangulations and twisted homology

Author(s): Nikhil Kalyanapuram
Published in: Physical Review D, Issue 00319007, 2020, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.48550/arxiv.2008.06956

Chiral splitting and the ambitwistor string

Author(s): Nikhil Kalyanapuram
Published in: Physical Review D, Issue 00319007, 2021, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevd.104.086027

Building Bases of Loop Integrands

Author(s): Jacob L. Bourjaily; Enrico Herrmann; Cameron Langer; Jaroslav Trnka
Published in: Journal of High Energy Physics, Issue 11, 2020, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep11(2020)116

From Hagedorn to Lee-Yang: partition functions of N $$ \mathcal{N} $$ = 4 SYM theory at finite N

Author(s): Alexander T. Kristensson; Matthias Wilhelm
Published in: Journal of High Energy Physics, Issue 10/006, 2020, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep10(2020)006

The two-loop remainder function for eight and nine particles

Author(s): John Golden; John Golden; Andrew J. McLeod
Published in: Journal of High Energy Physics, Issue 10298479, 2021, Page(s) 1--36, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.48550/arxiv.2104.14194

Rooting out letters: octagonal symbol alphabets and algebraic number theory

Author(s): Jacob L. Bourjaily, Andrew J. McLeod, Cristian Vergu, Matthias Volk, Matt von Hippel, Matthias Wilhelm
Published in: Journal of High Energy Physics, Issue 2020/2, 2020, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep02(2020)025

Conformally-regulated direct integration of the two-loop heptagon remainder

Author(s): Jacob L. Bourjaily, Matthias Volk, Matt von Hippel
Published in: Journal of High Energy Physics, Issue 2020/2, 2020, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/JHEP02(2020)095

Feynman Integrals and Scattering Amplitudes from Wilson Loops.

Author(s): Song He; Z. H. Li; Q. Yang; Chi Zhang
Published in: Physical Review Letters, Issue 00319007, 2021, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.48550/arxiv.2012.15042

Sequential Discontinuities of Feynman Integrals and the Monodromy Group

Author(s): Jacob L. Bourjaily, Holmfridur Hannesdottir, Andrew J. McLeod, Matthew D. Schwartz, Cristian Vergu
Published in: Journal of High Energy Physics, Issue 10298479, 2021, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep01(2021)205

A Three-Point Form Factor Through Five Loops

Author(s): Lance J. Dixon; Andrew J. McLeod; Matthias Wilhelm
Published in: Journal of High Energy Physics, Issue 10298479, 2021, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.48550/arxiv.2012.12286

Cuts and isogenies

Author(s): Hjalte Frellesvig; Cristian Vergu; Matthias Volk; Matt von Hippel
Published in: Journal of High Energy Physics, Issue 10298479, 2021, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.48550/arxiv.2102.02769

All two-loop, color-dressed, six-point amplitude integrands in supersymmetric Yang-Mills theory

Author(s): Jacob L. Bourjaily; Cameron Langer; Yaqi Zhang
Published in: Physical Review D, Issue 00319007, 2022, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevd.105.105015

N3LO gravitational quadratic-in-spin interactions at G^4

Author(s): Michele Levi; Andrew McLeod; Matthew von Hippel
Published in: Journal of High Energy Physics, Issue 10298479, 2021, Page(s) 116, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep07(2021)116

Traintrack Calabi-Yaus from twistor geometry

Author(s): Cristian Vergu, Matthias Volk
Published in: Journal of High Energy Physics, Issue 2020/7, 2020, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/JHEP07(2020)160

A quantum framework for AdS/dCFT through fuzzy spherical harmonics on S4

Author(s): Aleix Gimenez-Grau, Charlotte Kristjansen, Matthias Volk, Matthias Wilhelm
Published in: Journal of High Energy Physics, Issue 2020/4, 2020, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep04(2020)132

Symbology for elliptic multiple polylogarithms and the symbol prime

Author(s): Wilhelm, Matthias; Zhang, Chi
Published in: JHEP, Issue 89, 2023, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep01(2023)089

The gluon Regge trajectory at three loops from planar Yang-Mills theory

Author(s): Vittorio Del Duca; Robin Marzucca; Bram Verbeek
Published in: Journal of High Energy Physics, Issue 10298479, 2022, Page(s) 149, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep01(2022)149

All-mass n-gon integrals in n dimensions

Author(s): Jacob L. Bourjaily, Einan Gardi, Andrew J. McLeod, Cristian Vergu
Published in: Journal of High Energy Physics, Issue 2020/8, 2020, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/JHEP08(2020)029

Maximally supersymmetric amplitudes at infinite loop momentum

Author(s): Jacob L. Bourjaily, Enrico Herrmann, Jaroslav Trnka
Published in: Physical Review D, Issue 99/6, 2019, ISSN 2470-0010
Publisher: Physical Review
DOI: 10.1103/physrevd.99.066006

Folding Amplitudes into Form Factors: An Antipodal Duality

Author(s): Lance J. Dixon; Ömer Gürdoğan; Andrew J. McLeod; Matthias Wilhelm
Published in: Physical Review Letters, Issue 128/111602, 2022, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.48550/arxiv.2112.06243

Ambitwistor integrands from tensionless chiral superstring integrands

Author(s): Nikhil Kalyanapuram
Published in: Journal of High Energy Physics, Vol 2021, Iss 10, Pp 1-10 (2021), Issue 10298479, 2021, Page(s) 1-10, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep10(2021)171

Locally-finite quantities in sYM

Author(s): Jacob Bourjaily; Cameron Langer; Kokkimidis Patatoukos
Published in: Journal of High Energy Physics, Issue 10298479, 2021, Page(s) 298, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep04(2021)298

Chaotic spin chains in AdS/CFT

Author(s): McLoughlin, Tristan; Spiering, Anne
Published in: JHEP, Issue 240, 2022, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep09(2022)240

Operator Product Expansion for Form Factors

Author(s): Amit Sever, Alexander G. Tumanov, Matthias Wilhelm
Published in: Physical Review Letters, Issue 126/3, 2021, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.126.031602

One-loop QCD helicity amplitudes for pp → tt‾j t tbar j ttj to O(ε^2)

Author(s): Simon Badger; Matteo Becchetti; Ekta Chaubey; Robin Marzucca; Francesco Sarandrea
Published in: Journal of High Energy Physics, Issue 06, 2022, Page(s) 066, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep06(2022)066

NNNLO gravitational spin-orbit coupling at the quartic order in G

Author(s): Levi, Michèle; McLeod, Andrew J.; von Hippel, Matthew
Published in: Journal of High Energy Physics, Issue 02/115, 2021, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep07(2021)115

Soft gravity by squaring soft QED on the celestial sphere

Author(s): Nikhil Kalyanapuram
Published in: Physical Review D, Issue 24700029, 2021, Page(s) 085016, ISSN 2470-0029
Publisher: APS
DOI: 10.48550/arxiv.2011.11412

Six-Gluon amplitudes in planar N $$ \mathcal{N} $$ = 4 super-Yang-Mills theory at six and seven loops

Author(s): Simon Caron-Huot, Lance J. Dixon, Falko Dulat, Matt von Hippel, Andrew J. McLeod, Georgios Papathanasiou
Published in: Journal of High Energy Physics, Issue 2019/8, 2019, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep08(2019)016

The double pentaladder integral to all orders

Author(s): Simon Caron-Huot, Lance J. Dixon, Matt von Hippel, Andrew J. McLeod, Georgios Papathanasiou
Published in: Journal of High Energy Physics, Issue 2018/7, 2018, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/JHEP07(2018)170

The cosmic Galois group and extended Steinmann relations for planar N $$ \mathcal{N} $$ = 4 SYM amplitudes

Author(s): Simon Caron-Huot, Lance J. Dixon, Falko Dulat, Matt von Hippel, Andrew J. McLeod, Georgios Papathanasiou
Published in: Journal of High Energy Physics, Issue 2019/9, 2019, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep09(2019)061

A quantum check of non-supersymmetric AdS/dCFT

Author(s): Aleix Gimenez Grau, Charlotte Kristjansen, Matthias Volk, Matthias Wilhelm
Published in: Journal of High Energy Physics, Issue 2019/1, 2019, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/JHEP01(2019)007

Cluster algebras and the subalgebra constructibility of the seven-particle remainder function

Author(s): John Golden, Andrew J. McLeod
Published in: Journal of High Energy Physics, Issue 2019/1, 2019, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/JHEP01(2019)017

Prescriptive Unitarity for Non-Planar Six-Particle Amplitudes at Two Loops

Author(s): Jacob L. Bourjaily, Enrico Herrmann, Cameron Langer, Andrew J. McLeod, and Jaroslav Trnka
Published in: Journal of High Energy Physics, Issue 10298479, 2019, Page(s) 73, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep12(2019)073

The Sklyanin bracket and cluster adjacency at all multiplicity

Author(s): John Golden, Andrew J. McLeod, Marcus Spradlin, Anastasia Volovich
Published in: Journal of High Energy Physics, Issue 2019/3, 2019, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/JHEP03(2019)195

Bounded Collection of Feynman Integral Calabi-Yau Geometries

Author(s): Jacob L. Bourjaily, Andrew J. McLeod, Matt von Hippel, Matthias Wilhelm
Published in: Physical Review Letters, Issue 122/3, 2019, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/PhysRevLett.122.031601

The Hagedorn temperature of AdS5/CFT4 at finite coupling via the Quantum Spectral Curve

Author(s): Troels Harmark, Matthias Wilhelm
Published in: Physics Letters B, Issue 786, 2018, Page(s) 53-58, ISSN 0370-2693
Publisher: Elsevier BV
DOI: 10.1016/j.physletb.2018.09.033

Traintracks through Calabi-Yau Manifolds: Scattering Amplitudes beyond Elliptic Polylogarithms

Author(s): Jacob L. Bourjaily, Yang-Hui He, Andrew J. McLeod, Matt von Hippel, Matthias Wilhelm
Published in: Physical Review Letters, Issue 121/7, 2018, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/PhysRevLett.121.071603

Manifestly dual-conformal loop integration

Author(s): Jacob L. Bourjaily, Falko Dulat, Erik Panzer
Published in: Nuclear Physics B, Issue 942, 2019, Page(s) 251-302, ISSN 0550-3213
Publisher: Elsevier BV
DOI: 10.1016/j.nuclphysb.2019.03.022

Anomalous dimensions at finite conformal spin from OPE inversion

Author(s): Carlos Cardona, Kallol Sen
Published in: Journal of High Energy Physics, Issue 2018/11, 2018, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/JHEP11(2018)052

Steinmann relations and the wavefunction of the Universe

Author(s): Paolo Benincasa, Andrew J. McLeod, Cristian Vergu
Published in: Physical Review D, Issue 102/12, 2020, ISSN 2470-0010
Publisher: American Physical Society
DOI: 10.1103/physrevd.102.125004

Implications of the Landau equations for iterated integrals

Author(s): Holmfridur S. Hannesdottir; Andrew J. McLeod; Matthew D. Schwartz; Cristian Vergu
Published in: https://doi.org/10.1103/PhysRevD.105.L061701, Issue 00319007, 2022, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevd.105.l061701

A novel algorithm for nested summation and hypergeometric expansions

Author(s): Andrew J. McLeod, Henrik Jessen Munch, Georgios Papathanasiou, Matt von Hippel
Published in: Journal of High Energy Physics, Issue 2020/11, 2020, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep11(2020)122

Elliptic Double Box and Symbology Beyond Polylogarithms

Author(s): Alexander Kristensson; Matthias Wilhelm; Chi Zhang
Published in: Physical Review Letters, Issue 00319007, 2021, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.127.251603

Rationalizing loop integration

Author(s): Jacob L. Bourjaily, Andrew J. McLeod, Matt von Hippel, Matthias Wilhelm
Published in: Journal of High Energy Physics, Issue 2018/8, 2018, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep08(2018)184

Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: chemical potentials and deformations

Author(s): Troels Harmark; Matthias Wilhelm
Published in: Journal of High Energy Physics, Issue 10298479, 2022, Page(s) 136, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep07(2022)136

On polytopes and generalizations of the KLT relations

Author(s): Nikhil Kalyanapuram
Published in: Journal of High Energy Physics, Issue 2020/12, 2020, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep12(2020)057

Gauge and gravity amplitudes on the celestial sphere

Author(s): Nikhil Kalyanapuram
Published in: Physical Review D, Issue 00319007, 2021, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.48550/arxiv.2012.04579

All-Multiplicity Nonplanar Amplitude Integrands in Maximally Supersymmetric Yang-Mills Theory at Two Loops

Author(s): Jacob L. Bourjaily, Enrico Herrmann, Cameron Langer, Andrew J. McLeod, Jaroslav Trnka
Published in: Physical Review Letters, Issue 124/11, 2020, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/PhysRevLett.124.111603

Bootstrapping a stress-tensor form factor through eight loops

Author(s): Lance Dixon, Omer Gurdogan, Andrew J. McLeod, Matthias Wilhelm
Published in: Journal of High Energy Physics, Issue 10298479, 2022, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep07(2022)153

Other (5)

OPE inversion in Mellin space

Author(s): Cardona, Carlos
Published in: Issue 1, 2018
Publisher: arXiv

Cosmological Polytopes and the Wavefuncton of the Universe for Light States

Author(s): Paolo Benincasa
Published in: 2019
Publisher: arXiv

From the flat-space S-matrix to the Wavefunction of the Universe

Author(s): Paolo Benincasa
Published in: 2018
Publisher: arXiv

On the Emergence of Lorentz Invariance and Unitarity from the Scattering Facet of Cosmological Polytopes

Author(s): Nima Arkani-Hamed, Paolo Benincasa
Published in: 2018
Publisher: arXiv

Spin Multipole Expansion of the Memory Effect

Author(s): Kalyanapuram, Nikhil
Published in: arXiv, Issue 1, 2021
Publisher: arXiv
DOI: 10.48550/arxiv.2109.12368