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Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in gluon fusion

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arxiv 1503.08759 v2 pith:VRU3ZYD4 submitted 2015-03-30 hep-ph

classification hep-ph
keywords bosonselectroweakfusiongluonproductiontwo-loopallowedamplitude
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We compute the part of the two-loop virtual amplitude for the process $gg \to V_1 V_2 \to (l_1 \bar l'_{1}) (l_2 \bar l'_2)$, where $V_{1,2}$ are arbitrary electroweak gauge bosons, that receives contributions from loops of massless quarks. Invariant masses of electroweak bosons are allowed to be different from each other. Our result provides an important ingredient for improving the description of gluon fusion contribution to the production of four-lepton final states at the LHC.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Higher-Order Corrections to Higgs Boson Amplitudes with Full Quark Mass Dependence in Quantum Chromodynamics

    hep-ph 2019-08 conditional novelty 7.0 of 10

    The thesis computes three-loop and two-loop QCD corrections to Higgs processes with full quark mass dependence, including a new analytic series-expansion treatment of elliptic two-loop master integrals for Higgs-plus-...

  2. Top quark mass effects in $gg\to ZZ$ at two loops and off-shell Higgs interference

    hep-ph 2019-08 conditional novelty 7.0 of 10

    New Padé approximants built from large-mass and threshold expansions give the two-loop top-quark mass dependence of the gg to ZZ box form factors relevant for off-shell Higgs interference.

  3. All planar three-loop Feynman integrals for the production of two vector bosons at hadron colliders

    hep-ph 2025-12 accept novelty 6.0 of 10

    All nine planar three-loop four-point integral families for two massive external legs are cast into canonical differential equations and evaluated numerically, completing the set needed for leading-colour N3LO diboson...

  4. Two-loop QCD corrections to $ZH$ and off-shell $Z$ boson pair production in gluon fusion

    hep-ph 2025-09 conditional novelty 6.0 of 10

    The paper provides fast, analytic two-loop virtual QCD corrections for gluon-induced ZH and off-shell ZZ production with full top-quark mass dependence, validated against numerical results at the sub-percent level.

  5. ggxy: Fast and flexible NLO QCD corrections to gluon-initiated processes

    hep-ph 2026-07 conditional novelty 5.0 of 10

    The ggxy library implements NLO QCD corrections for gg→ZH and gg→ZZ with full top-quark mass dependence using high-energy and forward-limit expansions, validated against existing results and interfaced to POWHEG for p...

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