Smoothly splitting amplitudes and semi-locality

F Cachazo, N Early, BG Umbert - Journal of High Energy Physics, 2022 - Springer
A bstract In this paper, we study a novel behavior developed by certain tree-level scalar
scattering amplitudes, including the biadjoint, NLSM, and special Galileon, when a subset of …

Scattering forms, worldsheet forms and amplitudes from subspaces

S He, G Yan, C Zhang, Y Zhang - Journal of High Energy Physics, 2018 - Springer
A bstract We present a general construction of two types of differential forms, based on any
(n− 3)-dimensional subspace in the kinematic space of n massless particles. The first type is …

All-order splits and multi-soft limits for particle and string amplitudes

N Arkani-Hamed, C Figueiredo - arXiv preprint arXiv:2405.09608, 2024 - arxiv.org
The most important aspects of scattering amplitudes have long been thought to be
associated with their poles. But recently a very different sort of" split" factorizations for a wide …

Minimal kinematics: an all k and n peek into Trop+ G (k, n)

F Cachazo, N Early - … Symmetry, Integrability and Geometry: Methods and …, 2021 - emis.de
In this note we present a formula for the Cachazo-Early-Guevara-Mizera (CEGM)
generalized biadjoint amplitudes for all $ k $ and $ n $ on what we call the minimal …

Stringy canonical forms and binary geometries from associahedra, cyclohedra and generalized permutohedra

S He, Z Li, P Raman, C Zhang - Journal of High Energy Physics, 2020 - Springer
A bstract Stringy canonical forms are a class of integrals that provide α′-deformations of the
canonical form of any polytopes. For generalized associahedra of finite-type cluster …

Planarity in generalized scattering amplitudes: PK polytope, generalized root systems and worldsheet associahedra

N Early - arXiv preprint arXiv:2106.07142, 2021 - arxiv.org
In this paper we study the role of planarity in generalized scattering amplitudes, through
several closely interacting structures in combinatorics, algebraic and tropical geometry. The …

Minimal Kinematics on

N Early, A Pfister, B Sturmfels - arXiv preprint arXiv:2402.03065, 2024 - arxiv.org
Minimal kinematics identifies likelihood degenerations where the critical points are given by
rational formulas. These rest on the Horn uniformization of Kapranov-Huh. We characterize …

[PDF][PDF] Higher permutohedra at one-loop

N Early - 2018 - qmap.ucdavis.edu
Higher permutohedra at one-loop Page 1 Higher permutohedra at one-loop Nick Early
University of Minnesota June 12, 2018 1 2 21 3 4 7 5 6 8 11 9 10 12 15 13 14 16 19 17 18 20 23 …