Results 51 to 60 of about 2,118,889 (347)

Practical challenges in data‐driven interpolation: Dealing with noise, enforcing stability, and computing realizations

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView., 2023
Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
wiley   +1 more source

Determination of the scattering amplitude [PDF]

open access: yesCommunications in Mathematical Physics, 1984
Within the range of elastic scattering of two particles the unitarity equation can be formulated as an integral equation for the phase of the analytic scattering amplitude if the cross-section is given. Since the publications of \textit{R. G. Newton} [Determination of the amplitude from the differential cross-section by unitarity, J. Math. Phys.
Gangal, A. D., Kupsch, J.
openaire   +3 more sources

Spinning black hole binary dynamics, scattering amplitudes, and effective field theory [PDF]

open access: yesPhysical Review D, 2020
We describe a systematic framework for finding the conservative potential of compact binary systems with spin based on scattering amplitudes of particles of arbitrary spin and effective field theory.
Z. Bern   +4 more
semanticscholar   +1 more source

Quadratic-in-spin Hamiltonian at $$ \mathcal{O} $$(G2) from scattering amplitudes [PDF]

open access: yesJournal of High Energy Physics, 2021
We obtain the quadratic-in-spin terms of the conservative Hamiltonian describing the interactions of a binary of spinning bodies in General Relativity through $$ \mathcal{O} $$ O (G2) and to all orders in velocity.
Dimitrios I. Kosmopoulos, A. Luna
semanticscholar   +1 more source

Scattering amplitudes and conservative dynamics at the fourth post-Minkowskian order

open access: yesProceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022), 2022
We review recent progress using amplitudes methods to obtain new results for the conservative classical scattering of two massive black holes at order O( 𝐺 4 ) .
M. Ruf   +6 more
semanticscholar   +1 more source

Subsubleading soft graviton symmetry and MHV graviton scattering amplitudes [PDF]

open access: yesJournal of High Energy Physics, 2021
In [8] it was shown that supertranslation and SL2ℂ¯\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}
Shamik Banerjee   +2 more
semanticscholar   +1 more source

Physical representations for scattering amplitudes and the wavefunction of the universe [PDF]

open access: yesSciPost Physics, 2021
The way we organise perturbation theory is of fundamental importance both for computing the observables of relevance and for extracting fundamental physics out of them.
P. Benincasa, W. J. T. Bobadilla
semanticscholar   +1 more source

Scattering Amplitudes with Open Loops [PDF]

open access: yesPhysical Review Letters, 2012
5 pages, 3 figures; v2: Comment on ordering added after eq. (6); typos in eqs. (14,16,17) corrected; various cosmetic changes; reference added.
Cascioli, F   +2 more
openaire   +5 more sources

Scattering amplitudes and toric geometry [PDF]

open access: yesJournal of High Energy Physics, 2013
AbstractIn this paper we provide a first attempt towards a toric geometric interpretation of scattering amplitudes. In recent investigations it has indeed been proposed that the all-loop integrand of planar$ \mathcal{N} $= 4 SYM can be represented in terms of well defined finite objects called on-shell diagrams drawn on disks.
Amariti, Antonio, Forcella, Davide
openaire   +5 more sources

Leading nonlinear tidal effects and scattering amplitudes [PDF]

open access: yesJournal of High Energy Physics, 2020
We present the two-body Hamiltonian and associated eikonal phase, to leading post-Minkowskian order, for infinitely many tidal deformations described by operators with arbitrary powers of the curvature tensor.
Z. Bern   +4 more
semanticscholar   +1 more source

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