We present an algorithm to evaluate multiloop Feynman integrals with an arbitrary number of internal massive lines, with the masses being in general complex-valued, and its implementation in the Mathematica package SeaSyde. The implementation solves by series expansions the system of differential equations satisfied by the Master Integrals. At variance with respect to other existing codes, the analytical continuation of the solution is performed in the complex plane associated to each kinematical invariant. We present the results of the evaluation of the Master Integrals relevant for the NNLO QCD-EW corrections to the neutral-current Drell-Yan processes.

Evaluation of Feynman integrals with arbitrary complex masses via series expansions / Armadillo, Tommaso; Bonciani, Roberto; Devoto, Simone; Rana, Narayan; Vicini, Alessandro. - In: COMPUTER PHYSICS COMMUNICATIONS. - ISSN 0010-4655. - 282:(2023), pp. 1-15. [10.1016/j.cpc.2022.108545]

Evaluation of Feynman integrals with arbitrary complex masses via series expansions

Bonciani, Roberto
;
2023

Abstract

We present an algorithm to evaluate multiloop Feynman integrals with an arbitrary number of internal massive lines, with the masses being in general complex-valued, and its implementation in the Mathematica package SeaSyde. The implementation solves by series expansions the system of differential equations satisfied by the Master Integrals. At variance with respect to other existing codes, the analytical continuation of the solution is performed in the complex plane associated to each kinematical invariant. We present the results of the evaluation of the Master Integrals relevant for the NNLO QCD-EW corrections to the neutral-current Drell-Yan processes.
2023
Feynman integrals computation; differential equations; multi-loop integrals; series expansions; analytic continuation; electroweak interaction
01 Pubblicazione su rivista::01a Articolo in rivista
Evaluation of Feynman integrals with arbitrary complex masses via series expansions / Armadillo, Tommaso; Bonciani, Roberto; Devoto, Simone; Rana, Narayan; Vicini, Alessandro. - In: COMPUTER PHYSICS COMMUNICATIONS. - ISSN 0010-4655. - 282:(2023), pp. 1-15. [10.1016/j.cpc.2022.108545]
File allegati a questo prodotto
File Dimensione Formato  
Armadillo_Evaluation-of-Feynman_2023.pdf

solo gestori archivio

Note: Articolo su rivista
Tipologia: Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 583.02 kB
Formato Adobe PDF
583.02 kB Adobe PDF   Contatta l'autore

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1707712
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 20
  • ???jsp.display-item.citation.isi??? 17
social impact