Results 11 to 20 of about 1,633 (195)

Asymptotic analysis of Feynman diagrams and their maximal cuts

open access: yesEuropean Physical Journal C: Particles and Fields, 2020
The ASPIRE program, which is based on the Landau singularities and the method of Power geometry to unveil the regions required for the evaluation of a given Feynman diagram asymptotically in a given limit, also allows for the evaluation of scaling coming
B. Ananthanarayan   +2 more
doaj   +1 more source

The twistor Wilson loop and the amplituhedron

open access: yesJournal of High Energy Physics, 2018
The amplituhedron provides a beautiful description of perturbative superamplitude integrands in N = 4 $$ \mathcal{N}=4 $$ SYM in terms of purely geometric objects, generalisations of polytopes. On the other hand the Wilson loop in supertwistor space also
Paul Heslop, Alastair Stewart
doaj   +1 more source

Automating scattering amplitudes with chirality flow

open access: yesEuropean Physical Journal C: Particles and Fields, 2022
Recently we introduced the chirality-flow formalism, a method which builds on the spinor-helicity formalism and is inspired by the color-flow idea in QCD.
Andrew Lifson   +2 more
doaj   +1 more source

Feynman diagrams versus Fermi-gas Feynman emulator [PDF]

open access: yesNature Physics, 2012
Precise understanding of strongly interacting fermions, from electrons in modern materials to nuclear matter, presents a major goal in modern physics. However, the theoretical description of interacting Fermi systems is usually plagued by the intricate quantum statistics at play.
van Houcke, Kris   +9 more
openaire   +5 more sources

FEYNMAN DIAGRAMS AND DIFFERENTIAL EQUATIONS [PDF]

open access: yesInternational Journal of Modern Physics A, 2007
We review in a pedagogical way the method of differential equations for the evaluation of D-dimensionally regulated Feynman integrals. After dealing with the general features of the technique, we discuss its application in the context of one- and two-loop corrections to the photon propagator in QED, by computing the Vacuum Polarization tensor exactly ...
Argeri, Mario, Mastrolia, Pierpaolo
openaire   +3 more sources

Landau discriminants

open access: yesJournal of High Energy Physics, 2022
Scattering amplitudes in quantum field theories have intricate analytic properties as functions of the energies and momenta of the scattered particles.
Sebastian Mizera, Simon Telen
doaj   +1 more source

FEYNMAN DIAGRAMS VIA GRAPHICAL CALCULUS [PDF]

open access: yesJournal of Knot Theory and Its Ramifications, 2002
We use Reshetikhin-Turaev graphical calculus to define Feynman diagrams and prove that asymptotic expansions of Gaussian integrals can be written as a sum over a suitable family of graphs. We discuss how different kinds of interactions give rise to different families of graphs.
FIORENZA, DOMENICO, Riccardo Murri
openaire   +4 more sources

Generalized planar Feynman diagrams: collections [PDF]

open access: yesJournal of High Energy Physics, 2020
Abstract Tree-level Feynman diagrams in a cubic scalar theory can be given a metric such that each edge has a length. The space of metric trees is made out of orthants joined where a tree degenerates. Here we restrict to planar trees since each degeneration of a tree leads to a single planar neighbor.
Francisco Borges, Freddy Cachazo
openaire   +4 more sources

µ−µ+ → νµνµttH amplitudes in the Feynman-diagram gauge [PDF]

open access: yesEPJ Web of Conferences
We study the process µ−µ+ → νµῡµ tt¯H with complex CP violating ttH couplings in the SMEFT with a dimension-6 operator. When the amplitudes are expressed in the Feynman-Diagram gauge, the dominance of the total cross section via the weak boson fusion ...
Zheng Ya-Juan
doaj   +1 more source

$$\theta $$ θ -diagram technique for $${\mathcal {N}}=1$$ N = 1 , $$d=4$$ d = 4 superfields

open access: yesEuropean Physical Journal C: Particles and Fields, 2023
We describe a diagrammatic procedure to carry out the Grassmann integration in super-Feynman diagrams of 4d theories expressed in terms of $${\mathcal {N}}=1$$ N = 1 superfields. This method is alternative to the well known D-algebra approach. We develop
D. Bason, M. Billò
doaj   +1 more source

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