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

Remiddi, Ettore; Tancredi, Lorenzo

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.


Zugehörige Institution(en) am KIT Institut für Theoretische Teilchenphysik (TTP)
Publikationstyp Zeitschriftenaufsatz
Jahr 2016
Sprache Englisch
Identifikator DOI: 10.1016/j.nuclphysb.2016.04.013
ISSN: 0550-3213
URN: urn:nbn:de:swb:90-558691
KITopen ID: 1000055869
Erschienen in Nuclear Physics B
Band 907
Seiten 400–444
Lizenz CC BY 4.0: Creative Commons Namensnennung 4.0 International
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