7–10 Apr 2025
Durham
Europe/London timezone

Compact Two-Loop QCD Corrections for $Vjj$ Production in Proton Collisions

Not scheduled
20m
Appleby W103 (Durham)

Appleby W103

Durham

ESR Talk QCD QCD

Speaker

Giuseppe De Laurentis (University of Edinburgh)

Description

We consider two-loop QCD corrections in the leading color approximation for the production of a heavy electroweak vector boson, $V = \{W^{\pm}, Z,\gamma^\star\}$, in association with two light jets ($Vjj$) at hadron colliders. Leptonic decays of the electroweak boson are included at the amplitude level. We develop an approach that allows us to derive an analytic representation three orders of magnitude smaller than previously known results. This approach combines an improved choice of bases for rational coefficients, the construction of judiciously partial-fractioned ansätze, and iterative reconstruction in singular limits. We identify several recurring features of the amplitudes that we expect will facilitate analytic reconstruction and optimization of analytic representation for more complex amplitudes in the future. Finally, we provide an efficient and stable C++ numerical implementation of our results, ready for phenomenological applications.

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