KIT | KIT-Bibliothek | Impressum | Datenschutz

Differential equations and dispersion relations for Feynman amplitudes. The two-loop massive sunrise and the kite integral

Remiddi, Ettore; Tancredi, Lorenzo 1
1 Institut für Theoretische Teilchenphysik (TTP), Karlsruher Institut für Technologie (KIT)

Abstract:

It is shown that the study of the imaginary part and of the corresponding dispersion relations of Feynman graph amplitudes within the differential equations method can provide a powerful tool for the solution of the equations, especially in the massive case.
The main features of the approach are illustrated by discussing the simple cases of the 1-loop self-mass and of a particular vertex amplitude, and then used for the evaluation of the two-loop massive sunrise and the QED kite graph (the problem studied by Sabry in 1962), up to first order in the (d −4) expansion.


Volltext §
DOI: 10.5445/IR/1000055869
Originalveröffentlichung
DOI: 10.1016/j.nuclphysb.2016.04.013
Scopus
Zitationen: 106
Web of Science
Zitationen: 92
Dimensions
Zitationen: 104
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Theoretische Teilchenphysik (TTP)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2016
Sprache Englisch
Identifikator ISSN: 0550-3213
urn:nbn:de:swb:90-558691
KITopen-ID: 1000055869
Erschienen in Nuclear Physics B
Verlag North-Holland Publishing
Band 907
Seiten 400–444
Nachgewiesen in Scopus
Dimensions
Web of Science
KIT – Die Forschungsuniversität in der Helmholtz-Gemeinschaft
KITopen Landing Page