Evaluation of Feynman integrals with arbitrary complex masses via series expansions. (English) Zbl 1523.81077
Summary: 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.
MSC:
| 81Q30 | Feynman integrals and graphs; applications of algebraic topology and algebraic geometry |
| 55P35 | Loop spaces |
| 81S40 | Path integrals in quantum mechanics |
| 41A58 | Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) |
| 32D15 | Continuation of analytic objects in several complex variables |
| 81V05 | Strong interaction, including quantum chromodynamics |
Keywords:
multi-loop integrals; differential equations; series expansions; analytic continuation; electroweak interaction; quantum chromodynamicsReferences:
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