Analytic Properties of Triangle Feynman Diagrams in Quantum Field Theory

Dmitri Melikhov

doi:10.3390/particles3010009

Analytic Properties of Triangle Feynman Diagrams in Quantum Field Theory

High Energy Physics - Phenomenology 2020-02-13 v2

Authors: Dmitri Melikhov

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Abstract

We discuss dispersion representations for the triangle diagram $F(p_1^2,p_2^2,q^2)$ , the single dispersion representation in $q^2$ and the double dispersion representation in $p_1^2$ and $p_2^2$ , with special emphasis on the appearance of the anomalous singularities and the anomalous cuts in these representations.

Keywords

triangle feynman diagram dispersion representation anomalous singularities anomalous cuts quantum field theory

Cite

@article{arxiv.1912.13065,
  title  = {Analytic Properties of Triangle Feynman Diagrams in Quantum Field Theory},
  author = {Dmitri Melikhov},
  journal= {arXiv preprint arXiv:1912.13065},
  year   = {2020}
}

Comments

13 pages, Lecture given at Helmholtz - DIAS International Summer School "Quantum Field Theory at the Limits: from Strong Fields to Heavy Quarks" 22 July - 2 August 2019, Dubna, Russia. Based on arXiv:hep-ph/0610330

Analytic Properties of Triangle Feynman Diagrams in Quantum Field Theory

Abstract

Keywords

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