TY - JOUR
T1 - Differential equations and dispersion relations for Feynman amplitudes. The two-loop massive sunrise and the kite integral
AU - Remiddi, Ettore
AU - Tancredi, Lorenzo
N1 - Publisher Copyright:
© 2016.
PY - 2016/6/1
Y1 - 2016/6/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84963626754&partnerID=8YFLogxK
U2 - 10.1016/j.nuclphysb.2016.04.013
DO - 10.1016/j.nuclphysb.2016.04.013
M3 - Article
AN - SCOPUS:84963626754
SN - 0550-3213
VL - 907
SP - 400
EP - 444
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
ER -