Two-loop Master Integrals with the Simplified Differential Equations approach

Abstract

We calculate the complete set of two-loop Master Integrals with two off mass-shell legs with massless internal propagators, that contribute to amplitudes of diboson $V_1{V}_2$ production at the LHC. This is done with the Simplified Differential Equations approach to Master Integrals, which was recently proposed by one of the authors.

4 figures, 6 ancillary files. Version as published in JHEP

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Cited by in corpus (19)

• Integral Reduction with Kira 2.0 and Finite Field Methods
• QCD corrections to ZZ production in gluon fusion at the LHC
• The two-loop helicity amplitudes for $q{\bar{q}}^{\prime }\to V_1{V}_2\to 4\mathrm{leptons}$
• NNLO QCD predictions for fully-differential top-quark pair production at the Tevatron
• Transforming differential equations of multi-loop Feynman integrals into canonical form
• Pentagon Functions for One-Mass Planar Scattering Amplitudes
• Production of two Z-bosons in gluon fusion in the heavy top quark approximation
• Analytic representation of all planar two-loop five-point Master Integrals with one off-shell leg
• On the reduction of generalized polylogarithms to ${\text{Li}}_n$ and ${\text{Li}}_{2,2}$ and on the evaluation thereof
• The Pentabox Master Integrals with the Simplified Differential Equations approach
• Direct Solution of Integration-by-Parts Systems
• Numerical Loop-Tree Duality: contour deformation and subtraction
• Local Unitarity: a representation of differential cross-sections that is locally free of infrared singularities at any order
• Differential equations for loop integrals in Baikov representation
• Polarised Amplitudes and Soft-Virtual Cross Sections for $b\bar{b}\to ZH$ at NNLO in QCD
• Internal Reduction method for computing Feynman Integrals
• Resummation methods for Master Integrals
• Two-loop Doubly Massive Four-Point Amplitude Involving a half-BPS and Konishi Operator
• Two-loop non-planar hexa-box integrals with one massive leg