Master Integrals For Massless Two-Loop Vertex Diagrams With Three Offshell Legs
arXiv:hep-ph/0407343 · doi:10.1088/1126-6708/2004/09/042
Abstract
We compute the master integrals for massless two-loop vertex graphs with three off-shell legs. These master integrals are relevant for the QCD corrections to H to V*V* (where V = W, Z) and for two-loop studies of the triple gluon (and quark-gluon) vertex. We employ the differential equation technique to provide series expansions in epsilon for the various master integrals. The results are analytic and contain a new class of two-dimensional harmonic polylogarithms.
33 pages, JHEP3.cls, figures produced by feynmf, analytic results in data.m, reference added
References in corpus (30)
- Soft-gluon resummation for Higgs boson production at hadron colliders
- Automatic Integral Reduction for Higher Order Perturbative Calculations
- Numerical Evaluation of Harmonic Polylogarithms
- Numerical evaluation of multi-loop integrals by sector decomposition
- Two-Loop Helicity Amplitudes for Gluon-Gluon Scattering in QCD and Supersymmetric Yang-Mills Theory
- High-precision calculation of multi-loop Feynman integrals by difference equations
- Two-Loop Master Integrals for Jets: The non-planar topologies
- Two-loop QCD corrections to gluon-gluon scattering
- New results for the epsilon-expansion of certain one-, two- and three-loop Feynman diagrams
- Two-Loop QCD Helicity Amplitudes for ~Jets
- The Two-Loop QCD Matrix Element for Jets
- Numerical Evaluation of Two-Dimensional Harmonic Polylogarithms
- Two-loop QCD Corrections to the Heavy Quark Form Factors: the Vector Contributions
- Two-Loop Amplitudes for Gluon Fusion into Two Photons
- QCD and QED Corrections to Light-by-Light Scattering
- Two-loop QCD corrections to massless quark-gluon scattering
- Two-loop QED and QCD corrections to massless fermion-boson scattering
- Two-Loop Helicity Amplitudes for Quark-Gluon Scattering in QCD and Gluino-Gluon Scattering in Supersymmetric Yang-Mills Theory
- Two-Loop Helicity Amplitudes for Quark-Quark Scattering in QCD and Gluino-Gluino Scattering in Supersymmetric Yang-Mills Theory
- Analytical Result for Dimensionally Regularized Massive On-Shell Planar Double Box
- Master integrals with 2 and 3 massive propagators for the 2-loop electroweak form factor - planar case
- Master Integrals for the 2-loop QCD virtual corrections to the Forward-Backward Asymmetry
- Two-loop QCD helicity amplitudes for massless quark-massless gauge boson scattering
- Two-loop corrections to Light-by-Light scattering in Supersymmetric QED
- Master integrals with one massive propagator for the two-loop electroweak form factor
- Analytical Evaluation of Dimensionally Regularized Massive On-Shell Double Boxes
- Two-loop QCD helicity amplitudes for massless quark-quark scattering
- QED vertex form factors at two loops
- Two-loop amplitudes with nested sums: Fermionic contributions to e+ e- --> q qbar g
- Planar box diagram for the (N_F = 1) 2-loop QED virtual corrections to Bhabha scattering
Cited by in corpus (49)
- HPL, a Mathematica implementation of the harmonic polylogarithms
- Extension of HPL to complex arguments
- Three-mass triangle integrals and single-valued polylogarithms
- On the Generalized Harmonic Polylogarithms of One Complex Variable
- The Two-Loop Master Integrals for
- Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case
- From multiple unitarity cuts to the coproduct of Feynman integrals
- The Two Loop Crossed Ladder Vertex Diagram with Two Massive Exchanges
- The two-loop perturbative correction to the (g-2) HLbL at short distances
- Two-loop matching factors for light quark masses and three-loop mass anomalous dimensions in the RI/SMOM schemes
- Simplified differential equations approach for Master Integrals
- Precise MS-bar light-quark masses from lattice QCD in the RI/SMOM scheme
- Explicit Results for the Anomalous Three Point Function and Non-Renormalization Theorems
- Two loop QCD vertices at the symmetric point
- The -meson light-cone distribution amplitudes from lattice QCD
- Integration by parts identities in integer numbers of dimensions. A criterion for decoupling systems of differential equations
- MPL - a program for computations with iterated integrals on moduli spaces of curves of genus zero
- Two-Loop Master Integrals for : the Planar Topologies
- RI'/SMOM scheme amplitudes for quark currents at two loops
- Banks-Zaks fixed point analysis in momentum subtraction schemes
- Two-Loop Vertices in Quantum Field Theory: Infrared and Collinear Divergent Configurations
- Off-shell two loop QCD vertices
- Higher order QCD corrections in exclusive charmless B decays
- Three loop renormalization of 3-quark operators in QCD
- Bilinear quark operators in the RI/SMOM scheme at three loops
- Two-loop master integrals for the leading QCD corrections to the Higgs coupling to a pair and to the triple gauge couplings and
- 3-point off-shell vertex in scalar QED in arbitrary gauge and dimension
- Two loop renormalization of the n = 2 Wilson operator in the RI'/SMOM scheme
- S-bases as a tool to solve reduction problems for Feynman integrals
- The a-function in six dimensions
- Amplitudes for the n = 3 moment of the Wilson operator at two loops in the RI/'SMOM scheme
- Three-loop form factors for Higgs boson pair production in the large top mass limit
- Three loop QCD MOM beta-functions
- Renormalization of twist-two operators in covariant gauge to three loops in QCD
- NNLO QCD corrections to in the large limit
- Gauge Theories as String Theories: the First Results
- Maximal abelian and Curci-Ferrari gauges in momentum subtraction at three loops
- Master integrals for corrections to
- Renormalization of QCD in the interpolating momentum subtraction scheme at three loops
- Harmonic polylogarithms for massive Bhabha scattering
- Three-loop vertex integrals at symmetric point
- Five loop renormalization of the Wess-Zumino model
- Differential equations and high-energy expansion of two--loop diagrams in D dimensions
- Symmetric point flavour singlet axial vector current renormalization at two loops
- Off-shell quark bilinear operator Green's functions at two loops
- Evaluating massive planar two-loop tensor vertex integrals
- Non-renormalization of the full <VVA> correlator at two-loop order
- Mixed QCD-EW corrections to -pair production at electron-positron colliders
- Anomalous Ward identities for on-shell amplitudes at the conformal fixed point