Feynman diagrams, ribbon graphs, and topological recursion of Eynard-Orantin
Sign Up to like & getrecommendations! Published in 2018 at "Journal of High Energy Physics"
DOI: 10.1007/jhep06(2018)162
Abstract: A bstractWe consider two seemingly unrelated problems, calculation of the WKB expansion of the harmonic oscillator wave functions and counting the number of Feynman diagrams in QED or in many-body physics and show that their… read more here.
Keywords: topological recursion; ribbon graphs; number; recursion eynard ... See more keywords
Categorization of two-loop Feynman diagrams in the $\mathcal O(\alpha^2)$ correction to $e^+e^- \rightarrow ZH$
Sign Up to like & getrecommendations! Published in 2021 at "Chinese Physics C"
DOI: 10.1088/1674-1137/abe84d
Abstract: The $e^+e^- \rightarrow ZH$ process is the dominant process for the Higgs boson production at the future Higgs factory. In order to match the analysis on the Higgs properties with the highly precise experiment data,… read more here.
Keywords: two loop; alpha correction; mathcal alpha; loop feynman ... See more keywords
An exact solution method for the enumeration of connected Feynman diagrams
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ab8ef5
Abstract: We completely generalize previous results related to the counting of connected Feynman diagrams. We use a generating function approach, which encodes the Wick contraction combinatorics of the respective connected diagrams. Exact solutions are found for… read more here.
Keywords: connected feynman; exact solution; solution method; feynman diagrams ... See more keywords
Co-Homology of Differential Forms and Feynman Diagrams
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DOI: 10.3390/universe7090328
Abstract: In the present review we provide an extensive analysis of the intertwinement between Feynman integrals and cohomology theories in light of recent developments. Feynman integrals enter in several perturbative methods for solving non-linear PDE, starting… read more here.
Keywords: differential forms; homology differential; forms feynman; feynman integrals ... See more keywords