Contribution of third generation quarks to two-loop helicity amplitudes for W boson pair production in gluon fusion

Abstract

We compute the contribution of third generation quarks ($t,b$) to the two-loop amplitude for on-shell $W$ boson pair production in gluon fusion $gg\to WW$. We present plots for the amplitude across partonic phase space as well as reference values for two kinematic points. The master integrals are efficiently evaluated by numerically solving a system of ordinary differential equations.

References in corpus (32)

• Differential Equations for Two-Loop Four-Point Functions
• New features of FORM
• The Singular Behaviour of QCD Amplitudes at Two-loop Order
• JaxoDraw: A graphical user interface for drawing Feynman diagrams
• Differential Equations for Feynman Graph Amplitudes
• FeynCalc 9.3: New features and improvements
• An automatized algorithm to compute infrared divergent multi-loop integrals
• Kira - A Feynman Integral Reduction Program
• JaxoDraw: A graphical user interface for drawing Feynman diagrams. Version 2.0 release notes
• pySecDec: a toolbox for the numerical evaluation of multi-scale integrals
• Inadequacy of zero-width approximation for a light Higgs boson signal
• FIESTA 4: optimized Feynman integral calculations with GPU support
• Presenting LiteRed: a tool for the Loop InTEgrals REDuction
• Constraining the Higgs boson width with ZZ production at the LHC
• A Systematic and Efficient Method to Compute Multi-loop Master Integrals
• Two-loop amplitudes and master integrals for the production of a Higgs boson via a massive quark and a scalar-quark loop
• Two-Loop Quark and Gluon Form Factors in Dimensional Regularisation
• $W^{\pm }Z$ production at the LHC: fiducial cross sections and distributions in NNLO QCD
• QCD corrections to ZZ production in gluon fusion at the LHC
• The three loop on-shell renormalization of QCD and QED
• A GPU compatible quasi-Monte Carlo integrator interfaced to pySecDec
• Heavy-quark production in gluon fusion at two loops in QCD
• QCD corrections to $W^{+}{W}^{-}$ production through gluon fusion
• $W^{+}{W}^{-}$ production at the LHC: fiducial cross sections and distributions in NNLO QCD
• Taming the off-shell Higgs boson
• Production of two Z-bosons in gluon fusion in the heavy top quark approximation
• How to choose master integrals
• Bounding the Higgs width at the LHC: complementary results from $H\to WW$
• Exact quark-mass dependence of the Higgs-gluon form factor at three loops in QCD
• Higgs decay into massive b-quarks at NNLO QCD in the nested soft-collinear subtraction scheme
• Polarized double-virtual amplitudes for heavy-quark pair production
• Factorization of denominators in integration-by-parts reductions

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• Evaluation of multi-loop multi-scale Feynman integrals for precision physics
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