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Positive Geometry in Particle Physics and Cosmology

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 (49)
The Chirotropical Grassmannian (opens in new window)

Author(s): Dario Antolini and Nick Early
Published in: Special volume on Positive Geometry, Le Matematiche, 2024, ISSN 2037-5298
Publisher: University of Catania, Italy
DOI: 10.4418/2025.80.1.4

Copositive geometry of Feynman integrals (opens in new window)

Author(s): Bernd Sturmfels, Máté L. Telek
Published in: Letters in Mathematical Physics, Issue 115, 2025, ISSN 1573-0530
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/S11005-025-01961-W

Journal of High Energy Physics (opens in new window)

Author(s): Song He; Xuhang Jiang; Jiahao Liu; Qinglin Yang
Published in: Journal of High Energy Physics, 2025, ISSN 1029-8479
Publisher: Springer Nature
DOI: 10.1007/JHEP11(2025)053

Journal of High Energy Physics (opens in new window)

Author(s): Daniel Baumann; Harry Goodhew; Hayden Lee
Published in: Journal of High Energy Physics, 2025, ISSN 1029-8479
Publisher: Springer
DOI: 10.48550/ARXIV.2410.17994

Soft Photon, Gluon and Graviton Theorems in (A)dS from Conformal Invariance (opens in new window)

Author(s): Jiajie Mei, Yuyu Mo
Published in: Arxiv, 2025, ISSN 2331-8422
Publisher: Cornell University
DOI: 10.48550/arXiv.2506.11766

Spinor-Helicity Varieties (opens in new window)

Author(s): Yassine El Maazouz; Anaëlle Pfister; Bernd Sturmfels
Published in: SIAM Journal on Applied Algebra and Geometry, 2025, ISSN 2470-6566
Publisher: SIAM
DOI: 10.48550/ARXIV.2406.17331

Cosmological Dressing Rules (opens in new window)

Author(s): Chandramouli Chowdhury, Arthur Lipstein, Joe Marshall, Jiajie Mei, Ivo Sachs
Published in: Arxiv, 2025, ISSN 2331-8422
Publisher: Cornell University
DOI: 10.48550/arXiv.2503.10598

Algebraic and Positive Geometry of the Universe: From Particles to Galaxies (opens in new window)

Author(s): Claudia Fevola, Anna-Laura Sattelberger
Published in: Notices of the American Mathematical Society, Issue 72, 2025, ISSN 1088-9477
Publisher: American Mathematical Society (AMS)
DOI: 10.1090/NOTI3220

Proudfoot-Speyer degenerations of scattering equations (opens in new window)

Author(s): Barbara Betti, Viktoriia Borovik, Simon Telen
Published in: Le Matematiche, 2024, ISSN 2037-5298
Publisher: Dipartimento di Matematica e Informatica
DOI: 10.4418/2025.80.1.5

Tropical geometry, quantum affine algebras, and scattering amplitudes (opens in new window)

Author(s): Nick Early, Jian-Rong Li
Published in: Journal of Physics A: Mathematical and Theoretical, Issue 57, 2024, ISSN 1751-8113
Publisher: IOP Publishing
DOI: 10.1088/1751-8121/AD909B

Open string amplitudes: singularities, asymptotics and new representations (opens in new window)

Author(s): Nima Arkani-Hamed, Carolina Figueiredo, Grant N. Remmen
Published in: Journal of High Energy Physics, Issue 2025, 2025, ISSN 1029-8479
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/JHEP04(2025)039

Journal of High Energy Physics (opens in new window)

Author(s): Callum R. T. Jones; Shruti Paranjape
Published in: Journal of High Energy Physics, 2025, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.48550/ARXIV.2505.02520

The CEGM NLSM (opens in new window)

Author(s): Nick Early
Published in: Journal of High Energy Physics, Issue 2025, 2025, ISSN 1029-8479
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/JHEP04(2025)030

Journal of High Energy Physics (opens in new window)

Author(s): Daniel Baumann; Grégoire Mathys; Guilherme L. Pimentel; Facundo Rost
Published in: Journal of High Energy Physics, 2025, ISSN 1029-8479
Publisher: Springer
DOI: 10.48550/ARXIV.2408.02727

Kinematic Flow and the Emergence of Time (opens in new window)

Author(s): Nima Arkani-Hamed; Daniel Baumann; Aaron Hillman; Austin Joyce; Hayden Lee; Guilherme L. Pimentel
Published in: Physical Review Letters, 2025, ISSN 1079-7114
Publisher: American Physical Society
DOI: 10.48550/ARXIV.2312.05300

Positive del Pezzo geometry (opens in new window)

Author(s): Nick Early, Alheydis Geiger, Marta Panizzut, Bernd Sturmfels, Claudia He Yun
Published in: Annales de l’Institut Henri Poincaré D, Combinatorics, Physics and their Interactions, Issue 12, 2025, ISSN 2308-5827
Publisher: European Mathematical Society - EMS - Publishing House GmbH
DOI: 10.4171/AIHPD/205

Hyperplane Arrangements in the Grassmannian (opens in new window)

Author(s): E. Mazzucchelli; D. Pavlov; K. Wang
Published in: Le Matematiche, 2024, ISSN 0373-3505
Publisher: Dipartimento di Matematica e Informatica
DOI: 10.4418/2025.80.1.16

Surface Kinematics and the Canonical Yang-Mills All-Loop Integrand (opens in new window)

Author(s): Nima Arkani-Hamed, Qu Cao, Jin Dong, Carolina Figueiredo, Song He
Published in: Physical Review Letters, Issue 134, 2025, ISSN 0031-9007
Publisher: American Physical Society (APS)
DOI: 10.1103/PHYSREVLETT.134.171601

Differential Equations for Moving Hyperplane Arrangements (opens in new window)

Author(s): A. Pfister; A.-L. Sattelberger
Published in: Le Matematiche, 2024, ISSN 0373-3505
Publisher: Dipartimento di Matematica e Informatica
DOI: 10.4418/2025.80.1.17

Complete monotonicity of log-functions (opens in new window)

Author(s): Rourou Ma, Julian Weigert
Published in: Analysis and Mathematical Physics, Issue 15, 2025, ISSN 1664-2368
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/S13324-025-01136-9

A double copy from twisted (co)homology at genus g (opens in new window)

Author(s): Andrzej Pokraka, Lecheng Ren, Carlos Rodriguez
Published in: Arxiv, 2025, ISSN 2331-8422
Publisher: Cornell University
DOI: 10.48550/arXiv.2509.01598

Differential equations for cosmological correlators (opens in new window)

Author(s): Nima Arkani-Hamed, Daniel Baumann, Aaron Hillman, Austin Joyce, Hayden Lee, Guilherme L. Pimentel
Published in: Journal of High Energy Physics, Issue 2025, 2025, ISSN 1029-8479
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/JHEP09(2025)009

Journal of High Energy Physics (opens in new window)

Author(s): Johannes Henn; Prashanth Raman
Published in: Journal of High Energy Physics, 2025, ISSN 1029-8479
Publisher: Springer Nature
DOI: 10.48550/ARXIV.2407.05755

All-loop geometry for four-point correlation functions (opens in new window)

Author(s): Song He; Yu-tin Huang; Chia-Kai Kuo
Published in: Physical Review D, 2024, ISSN 2470-0029
Publisher: American Physical Society
DOI: 10.48550/ARXIV.2405.20292

Emergence of Unitarity and Locality from Hidden Zeros at One-Loop Order (opens in new window)

Author(s): Jeffrey V. Backus, Laurentiu Rodina
Published in: Physical Review Letters, Issue 135, 2025, ISSN 0031-9007
Publisher: American Physical Society (APS)
DOI: 10.1103/7LWK-M5YB

Journal of High Energy Physics (opens in new window)

Author(s): Veronica Calvo Cortes; Yassine El Maazouz; Subramanya Hegde; Amit Suthar
Published in: Journal of High Energy Physics, 2025, ISSN 1029-8479
Publisher: Springer Nature
DOI: 10.48550/ARXIV.2505.03705

Kinematic Varieties for Massless Particles (opens in new window)

Author(s): S. Rajan; S. Sverrisdóttir; B. Sturmfels
Published in: Le Matematiche, 2024, ISSN 0373-3505
Publisher: Dipartimento di Matematica e Informatica
DOI: 10.4418/2025.80.1.19

Surface gauge invariance, soft limits and the transmutation of gluons into scalars (opens in new window)

Author(s): Jeffrey V. Backus, Carolina Figueiredo
Published in: Journal of High Energy Physics, Issue 2025, 2025, ISSN 1029-8479
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/JHEP09(2025)069

How to stab a polytope (opens in new window)

Author(s): S. Seemann; F. Zaffalon
Published in: Le Matematiche, 2024, ISSN 0373-3505
Publisher: Dipartimento di Matematica e Informatica
DOI: 10.4418/2025.80.1.20

Journal of High Energy Physics (opens in new window)

Author(s): Dmitry Chicherin; Johannes Henn; Jaroslav Trnka; Shun-Qing Zhang
Published in: Journal of High Energy Physics, 2025, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/JHEP04(2025)022

Journal of High Energy Physics (opens in new window)

Author(s): Subramanya Hegde; Ashoke Sen; P. Shanmugapriya; Amitabh Virmani
Published in: Journal of High Energy Physics, 2025, ISSN 1029-8479
Publisher: Springer Nature
DOI: 10.48550/ARXIV.2411.08260

The two loop amplituhedron (opens in new window)

Author(s): Gabriele Dian; Elia Mazzucchelli; Felix Tellander\orcid{---}; Felix Tellander
Published in: Le Matematiche, 2024, ISSN 0373-3505
Publisher: Dipartimento di Matematica e Informatica
DOI: 10.48550/ARXIV.2410.11501

"Extending the symmetries of the generalized <mml:math xmlns:mml=""http://www.w3.org/1998/Math/MathML"" display=""inline""><mml:mi>C</mml:mi><mml:mi>P</mml:mi></mml:math> -symmetric 2HDM scalar potential to the Yukawa sector" (opens in new window)

Author(s): Sergio Carrolo; Howard E. Haber; Luis Lourenco; João P. Silva
Published in: Physical Review D, 2025, ISSN 2470-0029
Publisher: American Physical Society
DOI: 10.48550/ARXIV.2503.21387

One-loop corrections to the Bunch-Davies wave function of the universe (opens in new window)

Author(s): Benincasa, Paolo; Brunello, Giacomo; Mandal, Manoj K.; Mastrolia, Pierpaolo; Vazão, Francisco
Published in: Physical Review D, 2025, ISSN 2470-0029
Publisher: American Physical Society
DOI: 10.48550/ARXIV.2408.16386

Algebraic Approaches to Cosmological Integrals (opens in new window)

Author(s): Fevola, C.; Leite Pimentel, G.; Sattelberger, A. L.; Westerdijk, T.
Published in: Le Matematiche, 2024, ISSN 2037-5298
Publisher: Dipartimento di Matematica e Informatica
DOI: 10.4418/2025.80.1.12

Minimal Kinematics on $\mathcal{M}_{0,n}$ (opens in new window)

Author(s): Nick Early, Anaëlle Pfister, Bernd Sturmfels
Published in: Moduli, Issue 2, 2025, ISSN 2949-7647
Publisher: Wiley
DOI: 10.1112/MOD.2025.10003

Snowmass white paper: The cosmological bootstrap (opens in new window)

Author(s): Baumann, Daniel; Green, Daniel; Joyce, Austin; Pajer, Enrico; L. Pimentel, Guilherme; Sleight, Charlotte; Taronna, Massimo
Published in: SciPost Physics Community Reports, 2024, ISSN 3051-3197
Publisher: SciPost Foundation
DOI: 10.48550/ARXIV.2203.08121

Journal of High Energy Physics (opens in new window)

Author(s): Shankhadeep Chakrabortty; Subramanya Hegde; Arpit Maurya
Published in: Journal of High Energy Physics, 2025, ISSN 1029-8479
Publisher: Springer Nature
DOI: 10.48550/ARXIV.2411.09641

Bivariate exponential integrals and edge-bicolored graphs (opens in new window)

Author(s): Michael Borinsky, Chiara Meroni, Maximilian Wiesmann
Published in: Le Matematiche, 2025, ISSN 0373-3505
Publisher: Dipartimento di Matematica e Informatica
DOI: 10.4418/2025.80.1.6

Complete Function Space for Planar Two-Loop Six-Particle Scattering Amplitudes (opens in new window)

Author(s): Johannes Henn, Antonela Matijašić, Julian Miczajka, Tiziano Peraro, Yingxuan Xu, Yang Zhang
Published in: Physical Review Letters, Issue 135, 2025, ISSN 0031-9007
Publisher: American Physical Society (APS)
DOI: 10.1103/ZHZD-TJ9P

Journal of High Energy Physics (opens in new window)

Author(s): Bruno Giménez Umbert; Bernd Sturmfels
Published in: Journal of High Energy Physics, 2025, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.48550/ARXIV.2501.10805

Uniqueness of MHV Gravity Amplitudes (opens in new window)

Author(s): J. Koefler; U. Oktem; S. Paranjape; J. Trnka; B. Zacovic
Published in: Le Matematiche, 2024, ISSN 0373-3505
Publisher: Dipartimento di Matematica e Informatica
DOI: 10.4418/2025.80.1.14

A non-perturbative construction of the de Sitter late-time boundary (opens in new window)

Author(s): Vaziri, Kamran Salehi
Published in: Arxiv, 2024, ISSN 2331-8422
Publisher: Cornell University
DOI: 10.48550/ARXIV.2412.00183

Classification of prime modules of quantum affine algebras corresponding to 2-column tableaux (opens in new window)

Author(s): Nick Early, Jian-Rong Li
Published in: Journal of Algebraic Combinatorics, Issue 62, 2025, ISSN 0925-9899
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/S10801-025-01435-1

Journal of High Energy Physics (opens in new window)

Author(s): Wojciech Flieger; Johannes Henn; Anders Schreiber; Jaroslav Trnka
Published in: Journal of High Energy Physics, 2025, ISSN 1029-8479
Publisher: Springer Nature
DOI: 10.1007/JHEP04(2025)116

The Chirotropical Grassmannian (opens in new window)

Author(s): Antolini, Dario; Early, Nick
Published in: Le Matematiche, 2024, ISSN 0373-3505
Publisher: Dipartimento di Matematica e Informatica
DOI: 10.4418/2025.80.1.4

From on-shell amplitude in AdS to cosmological correlators: gluons and gravitons (opens in new window)

Author(s): Jiajie Mei, Yuyu Mo
Published in: Arxiv, 2024, ISSN 2331-8422
Publisher: Cornell University
DOI: 10.48550/arXiv.2410.04875

Cosmohedra (opens in new window)

Author(s): Nima Arkani-Hamed, Carolina Figueiredo, Francisco Vazão
Published in: Journal of High Energy Physics, Issue 2025, 2025, ISSN 1029-8479
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/JHEP11(2025)029

Journal of High Energy Physics (opens in new window)

Author(s): Sérgio Carrôlo; Dmitry Chicherin; Johannes Henn; Qinglin Yang; Yang Zhang
Published in: Journal of High Energy Physics, 2025, ISSN 1029-8479
Publisher: Springer Nature
DOI: 10.48550/ARXIV.2505.01245

Monographic books (1)
Records from the S-Matrix Marathon: Selected Topics on Scattering Amplitudes (opens in new window)

Author(s): Nima Arkani-Hamed, Mathieu Giroux, Holmfridur Sigridar Hannesdottir, Sebastian Mizera, Celina Pasiecznik
Published in: 2025
Publisher: Springer Nature
DOI: 10.1007/978-3-031-90352-6

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Last update: 15 August 2025

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