University of Hertfordshire

From the same journal

By the same authors

The Momentum Amplituhedron

Research output: Contribution to journalArticle

Standard

The Momentum Amplituhedron. / Damgaard, David; Ferro, Livia; Lukowski, Tomasz; Parisi, Matteo.

In: Journal of High Energy Physics, Vol. 2019, No. 8, 42, 08.08.2019.

Research output: Contribution to journalArticle

Harvard

APA

Vancouver

Author

Damgaard, David ; Ferro, Livia ; Lukowski, Tomasz ; Parisi, Matteo. / The Momentum Amplituhedron. In: Journal of High Energy Physics. 2019 ; Vol. 2019, No. 8.

Bibtex

@article{01ff78d3325542cab2963cadfe30d022,
title = "The Momentum Amplituhedron",
abstract = "In this paper we define a new object, the momentum amplituhedron, which is the long sought-after positive geometry for tree-level scattering amplitudes in N = 4 super Yang-Mills theory in spinor helicity space. Inspired by the construction of the ordinary amplituhedron, we introduce bosonized spinor helicity variables to represent our external kinematical data, and restrict them to a particular positive region. The momentum amplituhedron M n,k is then the image of the positive Grassmannian via a map determined by such kinematics. The scattering amplitudes are extracted from the canonical form with logarithmic singularities on the boundaries of this geometry. ",
keywords = "Scattering Amplitudes, Supersymmetric Gauge Theory",
author = "David Damgaard and Livia Ferro and Tomasz Lukowski and Matteo Parisi",
year = "2019",
month = aug,
day = "8",
doi = "10.1007/JHEP08(2019)042",
language = "English",
volume = "2019",
journal = "Journal of High Energy Physics",
issn = "1126-6708",
publisher = "Springer Verlag",
number = "8",

}

RIS

TY - JOUR

T1 - The Momentum Amplituhedron

AU - Damgaard, David

AU - Ferro, Livia

AU - Lukowski, Tomasz

AU - Parisi, Matteo

PY - 2019/8/8

Y1 - 2019/8/8

N2 - In this paper we define a new object, the momentum amplituhedron, which is the long sought-after positive geometry for tree-level scattering amplitudes in N = 4 super Yang-Mills theory in spinor helicity space. Inspired by the construction of the ordinary amplituhedron, we introduce bosonized spinor helicity variables to represent our external kinematical data, and restrict them to a particular positive region. The momentum amplituhedron M n,k is then the image of the positive Grassmannian via a map determined by such kinematics. The scattering amplitudes are extracted from the canonical form with logarithmic singularities on the boundaries of this geometry.

AB - In this paper we define a new object, the momentum amplituhedron, which is the long sought-after positive geometry for tree-level scattering amplitudes in N = 4 super Yang-Mills theory in spinor helicity space. Inspired by the construction of the ordinary amplituhedron, we introduce bosonized spinor helicity variables to represent our external kinematical data, and restrict them to a particular positive region. The momentum amplituhedron M n,k is then the image of the positive Grassmannian via a map determined by such kinematics. The scattering amplitudes are extracted from the canonical form with logarithmic singularities on the boundaries of this geometry.

KW - Scattering Amplitudes

KW - Supersymmetric Gauge Theory

UR - http://www.scopus.com/inward/record.url?scp=85070359774&partnerID=8YFLogxK

U2 - 10.1007/JHEP08(2019)042

DO - 10.1007/JHEP08(2019)042

M3 - Article

VL - 2019

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 8

M1 - 42

ER -