Positive Geometry in Particle Physics and Cosmology

Información del proyecto

UNIVERSE PLUS

Identificador del acuerdo de subvención: 101118787

DOI

10.3030/101118787

Fecha de la firma de la CE 5 Diciembre 2023

Fecha de inicio 1 Junio 2024

Fecha de finalización 31 Mayo 2030

Financiado con arreglo a

• European Research Council (ERC)

Coste total

€ 10 000 000,00

Aportación de la UE

€ 10 000 000,00

Coordinado por

MAX-PLANCK-GESELLSCHAFT ZUR FORDERUNG DER WISSENSCHAFTEN EV
Germany

CORDIS proporciona enlaces a los documentos públicos y las publicaciones de los proyectos de los programas marco HORIZONTE.

Los enlaces a los documentos y las publicaciones de los proyectos del Séptimo Programa Marco, así como los enlaces a algunos tipos de resultados específicos, como conjuntos de datos y «software», se obtienen dinámicamente de OpenAIRE .

Publicaciones

Peer reviewed articles (49)

The Chirotropical Grassmannian

Autores: Dario Antolini and Nick Early
Publicado en: Special volume on Positive Geometry, Le Matematiche, 2024, ISSN 2037-5298
Editor: University of Catania, Italy
DOI: 10.4418/2025.80.1.4

Copositive geometry of Feynman integrals

Autores: Bernd Sturmfels, Máté L. Telek
Publicado en: Letters in Mathematical Physics, Edición 115, 2025, ISSN 1573-0530
Editor: Springer Science and Business Media LLC
DOI: 10.1007/S11005-025-01961-W

Journal of High Energy Physics

Autores: Song He; Xuhang Jiang; Jiahao Liu; Qinglin Yang
Publicado en: Journal of High Energy Physics, 2025, ISSN 1029-8479
Editor: Springer Nature
DOI: 10.1007/JHEP11(2025)053

Journal of High Energy Physics

Autores: Daniel Baumann; Harry Goodhew; Hayden Lee
Publicado en: Journal of High Energy Physics, 2025, ISSN 1029-8479
Editor: Springer
DOI: 10.48550/ARXIV.2410.17994

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

Autores: Jiajie Mei, Yuyu Mo
Publicado en: Arxiv, 2025, ISSN 2331-8422
Editor: Cornell University
DOI: 10.48550/arXiv.2506.11766

Spinor-Helicity Varieties

Autores: Yassine El Maazouz; Anaëlle Pfister; Bernd Sturmfels
Publicado en: SIAM Journal on Applied Algebra and Geometry, 2025, ISSN 2470-6566
Editor: SIAM
DOI: 10.48550/ARXIV.2406.17331

Cosmological Dressing Rules

Autores: Chandramouli Chowdhury, Arthur Lipstein, Joe Marshall, Jiajie Mei, Ivo Sachs
Publicado en: Arxiv, 2025, ISSN 2331-8422
Editor: Cornell University
DOI: 10.48550/arXiv.2503.10598

Algebraic and Positive Geometry of the Universe: From Particles to Galaxies

Autores: Claudia Fevola, Anna-Laura Sattelberger
Publicado en: Notices of the American Mathematical Society, Edición 72, 2025, ISSN 1088-9477
Editor: American Mathematical Society (AMS)
DOI: 10.1090/NOTI3220

Proudfoot-Speyer degenerations of scattering equations

Autores: Barbara Betti, Viktoriia Borovik, Simon Telen
Publicado en: Le Matematiche, 2024, ISSN 2037-5298
Editor: Dipartimento di Matematica e Informatica
DOI: 10.4418/2025.80.1.5

Tropical geometry, quantum affine algebras, and scattering amplitudes

Autores: Nick Early, Jian-Rong Li
Publicado en: Journal of Physics A: Mathematical and Theoretical, Edición 57, 2024, ISSN 1751-8113
Editor: IOP Publishing
DOI: 10.1088/1751-8121/AD909B

Open string amplitudes: singularities, asymptotics and new representations

Autores: Nima Arkani-Hamed, Carolina Figueiredo, Grant N. Remmen
Publicado en: Journal of High Energy Physics, Edición 2025, 2025, ISSN 1029-8479
Editor: Springer Science and Business Media LLC
DOI: 10.1007/JHEP04(2025)039

Journal of High Energy Physics

Autores: Callum R. T. Jones; Shruti Paranjape
Publicado en: Journal of High Energy Physics, 2025, ISSN 1029-8479
Editor: Institute of Physics Publishing
DOI: 10.48550/ARXIV.2505.02520

The CEGM NLSM

Autores: Nick Early
Publicado en: Journal of High Energy Physics, Edición 2025, 2025, ISSN 1029-8479
Editor: Springer Science and Business Media LLC
DOI: 10.1007/JHEP04(2025)030

Journal of High Energy Physics

Autores: Daniel Baumann; Grégoire Mathys; Guilherme L. Pimentel; Facundo Rost
Publicado en: Journal of High Energy Physics, 2025, ISSN 1029-8479
Editor: Springer
DOI: 10.48550/ARXIV.2408.02727

Kinematic Flow and the Emergence of Time

Autores: Nima Arkani-Hamed; Daniel Baumann; Aaron Hillman; Austin Joyce; Hayden Lee; Guilherme L. Pimentel
Publicado en: Physical Review Letters, 2025, ISSN 1079-7114
Editor: American Physical Society
DOI: 10.48550/ARXIV.2312.05300

Positive del Pezzo geometry

Autores: Nick Early, Alheydis Geiger, Marta Panizzut, Bernd Sturmfels, Claudia He Yun
Publicado en: Annales de l’Institut Henri Poincaré D, Combinatorics, Physics and their Interactions, Edición 12, 2025, ISSN 2308-5827
Editor: European Mathematical Society - EMS - Publishing House GmbH
DOI: 10.4171/AIHPD/205

Hyperplane Arrangements in the Grassmannian

Autores: E. Mazzucchelli; D. Pavlov; K. Wang
Publicado en: Le Matematiche, 2024, ISSN 0373-3505
Editor: Dipartimento di Matematica e Informatica
DOI: 10.4418/2025.80.1.16

Surface Kinematics and the Canonical Yang-Mills All-Loop Integrand

Autores: Nima Arkani-Hamed, Qu Cao, Jin Dong, Carolina Figueiredo, Song He
Publicado en: Physical Review Letters, Edición 134, 2025, ISSN 0031-9007
Editor: American Physical Society (APS)
DOI: 10.1103/PHYSREVLETT.134.171601

Differential Equations for Moving Hyperplane Arrangements

Autores: A. Pfister; A.-L. Sattelberger
Publicado en: Le Matematiche, 2024, ISSN 0373-3505
Editor: Dipartimento di Matematica e Informatica
DOI: 10.4418/2025.80.1.17

Complete monotonicity of log-functions

Autores: Rourou Ma, Julian Weigert
Publicado en: Analysis and Mathematical Physics, Edición 15, 2025, ISSN 1664-2368
Editor: Springer Science and Business Media LLC
DOI: 10.1007/S13324-025-01136-9

A double copy from twisted (co)homology at genus g

Autores: Andrzej Pokraka, Lecheng Ren, Carlos Rodriguez
Publicado en: Arxiv, 2025, ISSN 2331-8422
Editor: Cornell University
DOI: 10.48550/arXiv.2509.01598

Differential equations for cosmological correlators

Autores: Nima Arkani-Hamed, Daniel Baumann, Aaron Hillman, Austin Joyce, Hayden Lee, Guilherme L. Pimentel
Publicado en: Journal of High Energy Physics, Edición 2025, 2025, ISSN 1029-8479
Editor: Springer Science and Business Media LLC
DOI: 10.1007/JHEP09(2025)009

Journal of High Energy Physics

Autores: Johannes Henn; Prashanth Raman
Publicado en: Journal of High Energy Physics, 2025, ISSN 1029-8479
Editor: Springer Nature
DOI: 10.48550/ARXIV.2407.05755

All-loop geometry for four-point correlation functions

Autores: Song He; Yu-tin Huang; Chia-Kai Kuo
Publicado en: Physical Review D, 2024, ISSN 2470-0029
Editor: American Physical Society
DOI: 10.48550/ARXIV.2405.20292

Emergence of Unitarity and Locality from Hidden Zeros at One-Loop Order

Autores: Jeffrey V. Backus, Laurentiu Rodina
Publicado en: Physical Review Letters, Edición 135, 2025, ISSN 0031-9007
Editor: American Physical Society (APS)
DOI: 10.1103/7LWK-M5YB

Journal of High Energy Physics

Autores: Veronica Calvo Cortes; Yassine El Maazouz; Subramanya Hegde; Amit Suthar
Publicado en: Journal of High Energy Physics, 2025, ISSN 1029-8479
Editor: Springer Nature
DOI: 10.48550/ARXIV.2505.03705

Kinematic Varieties for Massless Particles

Autores: S. Rajan; S. Sverrisdóttir; B. Sturmfels
Publicado en: Le Matematiche, 2024, ISSN 0373-3505
Editor: Dipartimento di Matematica e Informatica
DOI: 10.4418/2025.80.1.19

Surface gauge invariance, soft limits and the transmutation of gluons into scalars

Autores: Jeffrey V. Backus, Carolina Figueiredo
Publicado en: Journal of High Energy Physics, Edición 2025, 2025, ISSN 1029-8479
Editor: Springer Science and Business Media LLC
DOI: 10.1007/JHEP09(2025)069

How to stab a polytope

Autores: S. Seemann; F. Zaffalon
Publicado en: Le Matematiche, 2024, ISSN 0373-3505
Editor: Dipartimento di Matematica e Informatica
DOI: 10.4418/2025.80.1.20

Journal of High Energy Physics

Autores: Dmitry Chicherin; Johannes Henn; Jaroslav Trnka; Shun-Qing Zhang
Publicado en: Journal of High Energy Physics, 2025, ISSN 1029-8479
Editor: Institute of Physics Publishing
DOI: 10.1007/JHEP04(2025)022

Journal of High Energy Physics

Autores: Subramanya Hegde; Ashoke Sen; P. Shanmugapriya; Amitabh Virmani
Publicado en: Journal of High Energy Physics, 2025, ISSN 1029-8479
Editor: Springer Nature
DOI: 10.48550/ARXIV.2411.08260

The two loop amplituhedron

Autores: Gabriele Dian; Elia Mazzucchelli; Felix Tellander\orcid{---}; Felix Tellander
Publicado en: Le Matematiche, 2024, ISSN 0373-3505
Editor: 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"

Autores: Sergio Carrolo; Howard E. Haber; Luis Lourenco; João P. Silva
Publicado en: Physical Review D, 2025, ISSN 2470-0029
Editor: American Physical Society
DOI: 10.48550/ARXIV.2503.21387

One-loop corrections to the Bunch-Davies wave function of the universe

Autores: Benincasa, Paolo; Brunello, Giacomo; Mandal, Manoj K.; Mastrolia, Pierpaolo; Vazão, Francisco
Publicado en: Physical Review D, 2025, ISSN 2470-0029
Editor: American Physical Society
DOI: 10.48550/ARXIV.2408.16386

Algebraic Approaches to Cosmological Integrals

Autores: Fevola, C.; Leite Pimentel, G.; Sattelberger, A. L.; Westerdijk, T.
Publicado en: Le Matematiche, 2024, ISSN 2037-5298
Editor: Dipartimento di Matematica e Informatica
DOI: 10.4418/2025.80.1.12

Minimal Kinematics on $\mathcal{M}_{0,n}$

Autores: Nick Early, Anaëlle Pfister, Bernd Sturmfels
Publicado en: Moduli, Edición 2, 2025, ISSN 2949-7647
Editor: Wiley
DOI: 10.1112/MOD.2025.10003

Snowmass white paper: The cosmological bootstrap

Autores: Baumann, Daniel; Green, Daniel; Joyce, Austin; Pajer, Enrico; L. Pimentel, Guilherme; Sleight, Charlotte; Taronna, Massimo
Publicado en: SciPost Physics Community Reports, 2024, ISSN 3051-3197
Editor: SciPost Foundation
DOI: 10.48550/ARXIV.2203.08121

Journal of High Energy Physics

Autores: Shankhadeep Chakrabortty; Subramanya Hegde; Arpit Maurya
Publicado en: Journal of High Energy Physics, 2025, ISSN 1029-8479
Editor: Springer Nature
DOI: 10.48550/ARXIV.2411.09641

Bivariate exponential integrals and edge-bicolored graphs

Autores: Michael Borinsky, Chiara Meroni, Maximilian Wiesmann
Publicado en: Le Matematiche, 2025, ISSN 0373-3505
Editor: Dipartimento di Matematica e Informatica
DOI: 10.4418/2025.80.1.6

Complete Function Space for Planar Two-Loop Six-Particle Scattering Amplitudes

Autores: Johannes Henn, Antonela Matijašić, Julian Miczajka, Tiziano Peraro, Yingxuan Xu, Yang Zhang
Publicado en: Physical Review Letters, Edición 135, 2025, ISSN 0031-9007
Editor: American Physical Society (APS)
DOI: 10.1103/ZHZD-TJ9P

Journal of High Energy Physics

Autores: Bruno Giménez Umbert; Bernd Sturmfels
Publicado en: Journal of High Energy Physics, 2025, ISSN 1029-8479
Editor: Institute of Physics Publishing
DOI: 10.48550/ARXIV.2501.10805

Uniqueness of MHV Gravity Amplitudes

Autores: J. Koefler; U. Oktem; S. Paranjape; J. Trnka; B. Zacovic
Publicado en: Le Matematiche, 2024, ISSN 0373-3505
Editor: Dipartimento di Matematica e Informatica
DOI: 10.4418/2025.80.1.14

A non-perturbative construction of the de Sitter late-time boundary

Autores: Vaziri, Kamran Salehi
Publicado en: Arxiv, 2024, ISSN 2331-8422
Editor: Cornell University
DOI: 10.48550/ARXIV.2412.00183

Classification of prime modules of quantum affine algebras corresponding to 2-column tableaux

Autores: Nick Early, Jian-Rong Li
Publicado en: Journal of Algebraic Combinatorics, Edición 62, 2025, ISSN 0925-9899
Editor: Springer Science and Business Media LLC
DOI: 10.1007/S10801-025-01435-1

Journal of High Energy Physics

Autores: Wojciech Flieger; Johannes Henn; Anders Schreiber; Jaroslav Trnka
Publicado en: Journal of High Energy Physics, 2025, ISSN 1029-8479
Editor: Springer Nature
DOI: 10.1007/JHEP04(2025)116

The Chirotropical Grassmannian

Autores: Antolini, Dario; Early, Nick
Publicado en: Le Matematiche, 2024, ISSN 0373-3505
Editor: Dipartimento di Matematica e Informatica
DOI: 10.4418/2025.80.1.4

From on-shell amplitude in AdS to cosmological correlators: gluons and gravitons

Autores: Jiajie Mei, Yuyu Mo
Publicado en: Arxiv, 2024, ISSN 2331-8422
Editor: Cornell University
DOI: 10.48550/arXiv.2410.04875

Cosmohedra

Autores: Nima Arkani-Hamed, Carolina Figueiredo, Francisco Vazão
Publicado en: Journal of High Energy Physics, Edición 2025, 2025, ISSN 1029-8479
Editor: Springer Science and Business Media LLC
DOI: 10.1007/JHEP11(2025)029

Journal of High Energy Physics

Autores: Sérgio Carrôlo; Dmitry Chicherin; Johannes Henn; Qinglin Yang; Yang Zhang
Publicado en: Journal of High Energy Physics, 2025, ISSN 1029-8479
Editor: Springer Nature
DOI: 10.48550/ARXIV.2505.01245

Monographic books (1)

Records from the S-Matrix Marathon: Selected Topics on Scattering Amplitudes

Autores: Nima Arkani-Hamed, Mathieu Giroux, Holmfridur Sigridar Hannesdottir, Sebastian Mizera, Celina Pasiecznik
Publicado en: 2025
Editor: Springer Nature
DOI: 10.1007/978-3-031-90352-6