TY - JOUR
T1 - Magnus and Dyson series for master integrals
AU - Argeri, Mario
AU - Di Vita, Stefano
AU - Mastrolia, Pierpaolo
AU - Mirabella, Edoardo
AU - Schlenk, Johannes
AU - Schubert, Ulrich
AU - Tancredi, Lorenzo
N1 - Publisher Copyright:
© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.
PY - 2014
Y1 - 2014
N2 - The Magnus Exponential can be employed to solve the system of differential equations obeyed by Feynman integrals in dimensional regularization. We discuss the basic ideas behind the use of Magnus series expansion, and how the solution naturally arises in terms of repeated integrals that are equivalent to the coefficients of a Dyson series. Finally, we show its application to the evaluation of planar and non-planar two-loop QED vertex diagrams for massive fermions, and to non-planar two-loop integrals contributing to 2 → 2 scattering of massless particles.
AB - The Magnus Exponential can be employed to solve the system of differential equations obeyed by Feynman integrals in dimensional regularization. We discuss the basic ideas behind the use of Magnus series expansion, and how the solution naturally arises in terms of repeated integrals that are equivalent to the coefficients of a Dyson series. Finally, we show its application to the evaluation of planar and non-planar two-loop QED vertex diagrams for massive fermions, and to non-planar two-loop integrals contributing to 2 → 2 scattering of massless particles.
UR - http://www.scopus.com/inward/record.url?scp=84939494239&partnerID=8YFLogxK
M3 - Conference article
AN - SCOPUS:84939494239
SN - 1824-8039
VL - 2014-January
JO - Proceedings of Science
JF - Proceedings of Science
M1 - 007
T2 - 12th International Conference on Loops and Legs in Quantum Field Theory, LL 2014
Y2 - 27 April 2014 through 2 May 2014
ER -