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 implementa- tion 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). [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 implementa- tion 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
