High Energy Physics - Phenomenology
[Submitted on 16 Mar 2015 (v1), last revised 11 Sep 2015 (this version, v2)]
Title:The two-loop helicity amplitudes for $q \bar q' \to V_1 V_2 \to 4~\mathrm{leptons}$
View PDFAbstract:We compute the two-loop massless QCD corrections to the helicity amplitudes for the production of two massive vector bosons in quark-antiquark annihilation, allowing for an arbitrary virtuality of the vector bosons: $q \bar q' \to V_1V_2$. Combining with the leptonic decay currents, we obtain the full two-loop QCD description of the corresponding electroweak four-lepton production processes. The calculation is performed by projecting the two-loop diagrams onto an appropriate basis of Lorentz structures. All two-loop Feynman integrals are reduced to a basis of master integrals, which are then computed using the differential equations method and optimised for numerical performance. We provide a public C++ code which allows for fast and precise numerical evaluations of the amplitudes.
Submission history
From: Lorenzo Tancredi [view email][v1] Mon, 16 Mar 2015 20:00:23 UTC (1,075 KB)
[v2] Fri, 11 Sep 2015 14:40:28 UTC (1,080 KB)
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