On the two-loop amplitude for production with full top-mass dependence
arXiv:1912.08794
Abstract
In this talk, we discuss top-quark contributions to production through gluon fusion at two loops. We use syzygies and modular arithmetic to compute the reductions to master integrals. In order to numerically evaluate the amplitude, we express it in terms of finite integrals using a new method to construct integrable linear combinations of divergent integrands.
arXiv comment11 pages, 5 figures, 1 table, talk given at RADCOR2019
References in corpus (37)
- Multiloop integrals in dimensional regularization made simple
- Differential Equations for Two-Loop Four-Point Functions
- Differential Equations for Feynman Graph Amplitudes
- FIRE5: a C++ implementation of Feynman Integral REduction
- ZZ production at hadron colliders in NNLO QCD
- Kira - A Feynman Integral Reduction Program
- Reduze - Feynman Integral Reduction in C++
- Automatic Integral Reduction for Higher Order Perturbative Calculations
- pySecDec: a toolbox for the numerical evaluation of multi-scale integrals
- A novel approach to integration by parts reduction
- Inadequacy of zero-width approximation for a light Higgs boson signal
- Reduze 2 - Distributed Feynman Integral Reduction
- Scattering amplitudes over finite fields and multivariate functional reconstruction
- Presenting LiteRed: a tool for the Loop InTEgrals REDuction
- Constraining the Higgs boson width with ZZ production at the LHC
- Towards a Basis for Planar Two-Loop Integrals
- Feynman Diagrams and Differential Equations
- Two-loop Integrand Decomposition into Master Integrals and Surface Terms
- Integration-by-parts reductions from unitarity cuts and algebraic geometry
- Sector Decomposition
- QCD corrections to ZZ production in gluon fusion at the LHC
- Explicit solutions of the 3--loop vacuum integral recurrence relations
- SecDec: A general program for sector decomposition
- The two-loop helicity amplitudes for
- A quasi-finite basis for multi-loop Feynman integrals
- A New Algorithm For The Generation Of Unitarity-Compatible Integration By Parts Relations
- On hyperlogarithms and Feynman integrals with divergences and many scales
- Complete integration-by-parts reductions of the non-planar hexagon-box via module intersections
- Simplifying differential equations for multi-scale Feynman integrals beyond multiple polylogarithms
- Production of two Z-bosons in gluon fusion in the heavy top quark approximation
- Complete sets of logarithmic vector fields for integration-by-parts identities of Feynman integrals
- production at the LHC: NLO QCD corrections to the loop-induced gluon fusion channel
- Two loop correction to interference in
- production at the LHC: NLO QCD corrections to the loop-induced gluon fusion channel
- Numerical Multi-Loop Calculations via Finite Integrals and One-Mass EW-QCD Drell-Yan Master Integrals
- Top quark mass effects in at two loops and off-shell Higgs interference
- The Five Gluon Amplitude and One-Loop Integrals