Results 11 to 20 of about 221,951 (285)

Mathematical aspects of scattering amplitudes [PDF]

open access: yesJourneys Through the Precision Frontier: Amplitudes for Colliders, 2014
In these lectures we discuss some of the mathematical structures that appear when computing multi-loop Feynman integrals. We focus on a specific class of special functions, the so-called multiple polylogarithms, and discuss introduce their Hopf algebra ...
Duhr, Claude
core   +3 more sources

Unifying relations for scattering amplitudes [PDF]

open access: yesJournal of High Energy Physics, 2018
We derive new amplitudes relations revealing a hidden unity among a wideranging variety of theories in arbitrary spacetime dimensions. Our results rely on a set of Lorentz invariant differential operators which transmute physical tree-level scattering ...
Clifford Cheung   +2 more
doaj   +4 more sources

Glueball Scattering Amplitudes from Holography [PDF]

open access: yesJournal of High Energy Physics, 2004
Using techniques developed in a previous paper three-point functions in field theories described by holographic renormalization group flows are computed. We consider a system of one active scalar and one inert scalar coupled to gravity. For the GPPZ flow,
  +16 more
core   +3 more sources

Supergravity scattering amplitudes

open access: yesPhysical Review D, 2023
Supergravity theories with non-minimal Kähler potentials are characterized by a non-trivial field space manifold with corresponding non-trivial kinetic terms. The scattering amplitudes in these theories can be calculated at fixed background field values by making a field redefinition to Riemann normal coordinates.
Emilian Dudas   +3 more
openaire   +3 more sources

Measure for Chaotic Scattering Amplitudes

open access: yesPhysical Review Letters, 2022
v2: small corrections, references added; v3: minor improvements to match published ...
Massimo Bianchi   +3 more
openaire   +5 more sources

Scattering amplitude annihilators [PDF]

open access: yesJournal of High Energy Physics, 2020
Abstract Several second order differential operators are shown to annihilate the YM and GR tree scattering amplitudes. In particular we prove a conjecture of Loebbert, Mojaza and Plefka from their investigation of a hidden conformal symmetry in GR.
Andrea Nützi, Michael Reiterer
openaire   +5 more sources

Syzygies probing scattering amplitudes [PDF]

open access: yesJournal of High Energy Physics, 2016
33 pages, 10 ...
Chen, Gang   +4 more
openaire   +3 more sources

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   +4 more sources

Likelihood equations and scattering amplitudes [PDF]

open access: yesAlgebraic Statistics, 2021
We relate scattering amplitudes in particle physics to maximum likelihood estimation for discrete models in algebraic statistics. The scattering potential plays the role of the log-likelihood function, and its critical points are solutions to rational function equations.
Sturmfels, B., Telen, S.
openaire   +3 more sources

ANALYTIC SCATTERING AMPLITUDES FOR QCD [PDF]

open access: yesProceedings of the Conference in Honor of C N Yang's 85th Birthday, 2008
By analytically continuing QCD scattering amplitudes through specific complexified momenta, one can study and learn about the nature and the consequences of factorization and unitarity. In some cases, when coupled with the largest time equation and gauge invariance requirement, this approach leads to recursion relations, which greatly simplify the ...
Vaman, Diana, Yao, York-Peng
openaire   +2 more sources

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