The authors present the finite two-loop fermionic virtual corrections to the Drell-Yan cross section after renormalization and infrared subtraction using an automated methodology.
Fermionic Electroweak Two-Loop Corrections to Drell-Yan and Related Processes
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abstract
We perform a complete calculation of the next-to-next-to-leading order (NNLO) electroweak fermionic corrections to fermion-pair production processes, where "fermionic" refers to contributions with closed fermion loops. We did this via a semi-numerical technique that uses dispersion relations for the fermion sub-loop in two-loop box and vertex diagrams and dispersion relations and Feynman parameters for vertex diagrams with fermionic triangle sub-loops. UV and IR divergences are treated with suitable subtraction terms. We present numerical results for the cross-sections of $e^+e^-\to \mu^+\mu^-/u\bar{u}/d\bar{d}$ and differential distributions at representative center-of-mass energies. The NNLO corrections are found to modify the NLO cross-section on the order of 1%.
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Non-factorisable two-loop EW virtual corrections to single-resonant processes reduce to an iteration of the one-loop result plus a new light-fermion contribution in dimensional regularization and are specific to single-resonance exchange.
Three-loop QCD corrections to electroweak radiative parameters Δρ, Δr, and Δκ are computed, yielding an updated W boson mass prediction relevant for FCC precision targets.
citing papers explorer
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Towards the two-loop electroweak corrections to the Drell-Yan process: the complete fermionic contributions
The authors present the finite two-loop fermionic virtual corrections to the Drell-Yan cross section after renormalization and infrared subtraction using an automated methodology.
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Non-factorisable electroweak virtual corrections to single-resonant processes
Non-factorisable two-loop EW virtual corrections to single-resonant processes reduce to an iteration of the one-loop result plus a new light-fermion contribution in dimensional regularization and are specific to single-resonance exchange.
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Three loop QCD corrections to electroweak radiative parameters
Three-loop QCD corrections to electroweak radiative parameters Δρ, Δr, and Δκ are computed, yielding an updated W boson mass prediction relevant for FCC precision targets.