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 theMathematicapackageSeaSyde. 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 / T. Armadillo, R. Bonciani, S. Devoto, N. Rana, A. Vicini. - In: COMPUTER PHYSICS COMMUNICATIONS. - ISSN 0010-4655. - 282:(2023), pp. 108545.1-108545.15. [10.1016/j.cpc.2022.108545]

Evaluation of Feynman integrals with arbitrary complex masses via series expansions

S. Devoto;N. Rana;A. Vicini
Ultimo
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 theMathematicapackageSeaSyde. 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.
Multi-loop integrals; Differential equations; Series expansions; Analytic continuation; Electroweak interaction; Quantum chromodynamics
Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici
   Precision Electroweak Physics at the CERN Large Hadron Collider
   MINISTERO DELL'ISTRUZIONE E DEL MERITO
   2017F28R78_002
2023
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/968880
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