The project will develop following 5 research lines:
Computational developments in QFT. Deployment over large clusters of all the steps needed to write the differential equations satisfied by multi loop Feynman integrals. Compact solution of Feynman integrals with several internal masses. Compact description of an amplitude, with exact dependence on the kinematical invariants.
Quantum Field Theory. Two-loop renormalization in the full Standard Model, in different input schemes. Imaginary part of 3-loop gauge-boson self-energies. Treatment of . Description of a resonance and discussion of unitarity issues. Matching with QED all-orders description of the incoming/outgoing particles.
Fermion-pair production. NNLO-EW corrections to muon-pair production: phenomenology of the Z resonance and of the continuum up to the few TeV scale. Determination of the Z mass and of the weak mixing angle: study of the theoretical uncertainties
kinematics. NNLO mixed QCD-EW and EW corrections for final states with a lepton pair + /jet. Two-loop massive amplitudes with five kinematical invariants. Improvement of the backgrounds relevant to dark-matter searches at colliders.
NNLO-EW corrections to on-shell W-pair production. Double-pole expansion of the complete amplitude. First steps towards the complete exact two-loop amplitude. Two-loop massive amplitudes with eight kinematical invariants. Determination of the W-boson mass at the WW threshold. Estimate of the residual theoretical uncertainties.
Some recent paper related to the project.
T.Armadillo, S.Devoto, M.Dradi, A.Vicini, “Towards the two-loop electroweak corrections to the Drell-Yan process: the complete fermionic contributions“, JHEP10(2026)058
T.Armadillo, S.Devoto, M.Dradi, A.Vicini, “Towards the two-loop electroweak corrections to the Drell-Yan process: the infrared structure“, JHEP08(2026)135
T.Armadillo, R.Bonciani, S.Devoto, N.Rana, A.Vicini, “Evaluation of Feynman integrals with arbitrary complex masses via series expansions“, Comp.Phys.Comm.282(2023)108545