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
SN - 1126-6708
VL - 2019
JO - Journal of High Energy Physics (JHEP)
JF - Journal of High Energy Physics (JHEP)
IS - 8
M1 - 42
ER -