A probabilistic angle on one-loop scalar integrals
DOI10.1088/1751-8121/aa6779zbMath1367.81060arXiv1603.05204OpenAlexW3100662372MaRDI QIDQ5272618
Publication date: 30 June 2017
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.05204
Fourier transformprobabilityFeynman diagramstensor integral\(\epsilon\) expansionone-loop scalar integral
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Feynman diagrams (81T18) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Numerical aspects of recurrence relations (65Q30)
Uses Software
Cites Work
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- The one-loop six-dimensional hexagon integral and its relation to MHV amplitudes in \( \mathcal{N} = 4 \) SYM
- The one-loop one-mass hexagon integral in \(D = 6\) dimensions
- Analytic result for the one-loop scalar pentagon integral with massless propagators
- Scalar one-loop 4-point integrals
- A new hypergeometric representation of one-loop scalar integrals in \(d\) dimensions
- One-loop pentagon integral in \(d\) dimensions from differential equations in \(\epsilon\)-form
- \texttt{OneLOop}: for the evaluation of one-loop scalar functions
- A simple expression for the multivariate Hermite polynomials
- Fourier transformation for pedestrians
- Lauricella's hypergeometric function \(F_ D\)
- LOOP INTEGRALS, ℛ-FUNCTIONS AND THEIR ANALYTIC CONTINUATION
- Some exact results for N-point massive Feynman integrals
- Connection between Feynman integrals having different values of the space-time dimension
- One-loopn-point equivalence among negative-dimensional, Mellin–Barnes and Feynman parametrization approaches to Feynman integrals
- A geometrical angle on Feynman integrals
- OH Radical-Initiated Reaction of 3-Hexene-2,5-dione: Formation of Methylglyoxal
- Reduction of feynman diagrams
- Reduction of the multivariate normal integral to characteristic form
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