We review the method of differential equations for the evaluation of multi-loop Feynman integrals. In particular, we focus on the series expansion approach for solving the system of differential equation and we discuss how to perform the analytical continuation of the result to the entire (complex) phase-space. This approach allows us to consider arbitrary internal complex masses. This review is based on a lecture given by the author at the ‘Advanced School & Workshop on Multiloop Scattering Amplitudes’ held in NISER, Bhubaneswar (India) in January 2024.
Evaluating Feynman integrals through differential equations and series expansions / T. Armadillo. - In: THE EUROPEAN PHYSICAL JOURNAL. SPECIAL TOPICS. - ISSN 1951-6355. - (2025), pp. 1-16. [Epub ahead of print] [10.1140/epjs/s11734-025-01995-0]
Evaluating Feynman integrals through differential equations and series expansions
T. Armadillo
2025
Abstract
We review the method of differential equations for the evaluation of multi-loop Feynman integrals. In particular, we focus on the series expansion approach for solving the system of differential equation and we discuss how to perform the analytical continuation of the result to the entire (complex) phase-space. This approach allows us to consider arbitrary internal complex masses. This review is based on a lecture given by the author at the ‘Advanced School & Workshop on Multiloop Scattering Amplitudes’ held in NISER, Bhubaneswar (India) in January 2024.
| File | Dimensione | Formato | |
|---|---|---|---|
|
unpaywall-bitstream--2035257338.pdf
accesso aperto
Tipologia:
Publisher's version/PDF
Licenza:
Creative commons
Dimensione
636.59 kB
Formato
Adobe PDF
|
636.59 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
