Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Salvatori, Giulio"'
Scattering amplitudes for colored theories have recently been formulated in a new way, in terms of curves on surfaces. In this note we describe a canonical set of functions we call surface functions, associated to all orders in the topological expans
Externí odkaz:
http://arxiv.org/abs/2412.21027
Autor:
Salvatori, Giulio
We study the construction of local subtraction schemes through the lenses of tropical geometry. We focus on individual Feynman integrals in parametric presentation, and think of them as particular instances of Euler integrals. We provide a necessary
Externí odkaz:
http://arxiv.org/abs/2406.14606
Recently a new formulation for scattering amplitudes in Tr($\Phi^3$) theory has been given based on simple combinatorial ideas in the space of kinematic data. This allows all-loop integrated amplitudes to be expressed as ''curve integrals'' defined u
Externí odkaz:
http://arxiv.org/abs/2402.06719
This is part of a series of papers describing the new curve integral formalism for scattering amplitudes of the colored scalar tr$\phi^3$ theory. We show that the curve integral manifests a very surprising fact about these amplitudes: the dependence
Externí odkaz:
http://arxiv.org/abs/2311.09284
The "amplituhedron" for tree-level scattering amplitudes in the bi-adjoint $\phi^3$ theory is given by the ABHY associahedron in kinematic space, which has been generalized to give a realization for all finite-type cluster algebra polytopes, labelled
Externí odkaz:
http://arxiv.org/abs/1912.12948
Autor:
Salvatori, Giulio, Stanojevic, Stefan
We provide an efficient recursive formula to compute the canonical forms of arbitrary $d$-dimensional simple polytopes, which are convex polytopes such that every vertex lies precisely on $d$ facets. For illustration purposes, we explicitly derive re
Externí odkaz:
http://arxiv.org/abs/1912.06125
In this paper we complete the computation of the two-loop master integrals relevant for Higgs plus one jet production initiated in arXiv:1609.06685, arXiv:1907.13156, arXiv:1907.13234. We compute the integrals by defining differential equations along
Externí odkaz:
http://arxiv.org/abs/1911.06308
Autor:
Salvatori, Giulio
We recently proposed the Halohedron to be the 1-loop Amplituhedron for planar $\phi^3$ theory. Here we prove this claim by showing how it is possible to extract the integrand for the partial amplitude $m^1_n(1,\dots,n|1,\dots,n)$ from the canonical f
Externí odkaz:
http://arxiv.org/abs/1806.01842
Autor:
Salvatori, Giulio, Cacciatori, Sergio
Recently, the existence of an Amplituhedron for tree level amplitudes in the bi-adjoint scalar field theory has been proved by Arkhani-Hamed et al. We argue that hyperbolic geometry constitutes a natural framework to address the study of positive geo
Externí odkaz:
http://arxiv.org/abs/1803.05809
Publikováno v:
Phys. Rev. A 90, 022111 (2014)
The Lipkin-Meshkov-Glick (LMG) model describes critical systems with interaction beyond the first-neighbor approximation. Here we address the characterization of LMG systems, i.e. the estimation of anisotropy, and show how criticality may be exploite
Externí odkaz:
http://arxiv.org/abs/1406.5766