The propagator seagull: general evaluation of a two loop diagram

Barak Kol; Ruth Shir

doi:10.1007/JHEP03(2019)083

The propagator seagull: general evaluation of a two loop diagram

Barak Kol
, Ruth Shir^*

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We study a two loop diagram of propagator type with general parameters through the Symmetries of Feynman Integrals (SFI) method. We present the SFI group and equation system, the group invariant in parameter space and a general representation as a line integral over simpler diagrams. We present close form expressions for three sectors, each with three or four energy scales, for any spacetime dimension d as well as the ϵ expansion. We determine the singular locus and the diagram’s value on it.

Original language	English
Article number	83
Journal	Journal of High Energy Physics
Volume	2019
Issue number	3
DOIs	https://doi.org/10.1007/JHEP03(2019)083
State	Published - 1 Mar 2019

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Publisher Copyright:
© 2019, The Author(s).

Keywords

Perturbative QCD
Scattering Amplitudes

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10.1007/JHEP03(2019)083

Cite this

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abstract = "We study a two loop diagram of propagator type with general parameters through the Symmetries of Feynman Integrals (SFI) method. We present the SFI group and equation system, the group invariant in parameter space and a general representation as a line integral over simpler diagrams. We present close form expressions for three sectors, each with three or four energy scales, for any spacetime dimension d as well as the ϵ expansion. We determine the singular locus and the diagram{\textquoteright}s value on it.",

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AB - We study a two loop diagram of propagator type with general parameters through the Symmetries of Feynman Integrals (SFI) method. We present the SFI group and equation system, the group invariant in parameter space and a general representation as a line integral over simpler diagrams. We present close form expressions for three sectors, each with three or four energy scales, for any spacetime dimension d as well as the ϵ expansion. We determine the singular locus and the diagram’s value on it.

KW - Perturbative QCD

KW - Scattering Amplitudes

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The propagator seagull: general evaluation of a two loop diagram

Abstract

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Keywords

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