TY - JOUR
T1 - The propagator seagull
T2 - general evaluation of a two loop diagram
AU - Kol, Barak
AU - Shir, Ruth
N1 - Publisher Copyright:
© 2019, The Author(s).
PY - 2019/3/1
Y1 - 2019/3/1
N2 - 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.
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
UR - http://www.scopus.com/inward/record.url?scp=85062986873&partnerID=8YFLogxK
U2 - 10.1007/JHEP03(2019)083
DO - 10.1007/JHEP03(2019)083
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AN - SCOPUS:85062986873
SN - 1126-6708
VL - 2019
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 3
M1 - 83
ER -