Reducing full one-loop amplitudes to scalar integrals at the integrand level

Abstract

We show how to extract the coefficients of the 4-, 3-, 2- and 1-point one-loop scalar integrals from the full one-loop amplitude of arbitrary scattering processes. In a similar fashion, also the rational terms can be derived. Basically no information on the analytical structure of the amplitude is required, making our method appealing for an efficient numerical implementation

updated version

References in corpus (1)

• Formulae for a numerical computation of one-loop tensor integrals

Cited by in corpus (42)

• An Automated Implementation of On-Shell Methods for One-Loop Amplitudes
• Direct extraction of one-loop integral coefficients
• Full one-loop amplitudes from tree amplitudes
• Assault on the NLO Wishlist: pp -> tt bb
• A Numerical Unitarity Formalism for Evaluating One-Loop Amplitudes
• On the Rational Terms of the one-loop amplitudes
• NLO QCD corrections to pp -> t anti-t b anti-b + X at the LHC
• Next-to-leading order QCD corrections to t-tbar-Z production at the LHC
• Polarizing the Dipoles
• Automation of the Dipole Subtraction Method in MadGraph/MadEvent
• Direct Extraction Of One Loop Rational Terms
• NLO QCD corrections to tri-boson production
• QCD corrections to tri-boson production
• S@M, a Mathematica Implementation of the Spinor-Helicity Formalism
• On the Numerical Evaluation of One-Loop Amplitudes: the Gluonic Case
• Unitarity Cuts with Massive Propagators and Algebraic Expressions for Coefficients
• Numerical Evaluation of Six-Photon Amplitudes
• Optimizing the Reduction of One-Loop Amplitudes
• Double-Cut of Scattering Amplitudes and Stokes' Theorem
• One-loop phi-MHV amplitudes using the unitarity bootstrap
• Integral Coefficients for One-Loop Amplitudes
• Closed-Form Decomposition of One-Loop Massive Amplitudes
• One-loop amplitudes for W+3 jet production in hadron collisions
• Multi-gluon one-loop amplitudes using tensor integrals
• The one-loop gluon amplitude for heavy-quark production at NNLO
• Six-Photon Amplitudes
• One-loop phi-MHV amplitudes using the unitarity bootstrap: the general helicity case
• Polynomial Structures in One-Loop Amplitudes
• Analytic Structure of Three-Mass Triangle Coefficients
• A complete reduction of one-loop tensor 5- and 6-point integrals
• NLO QCD corrections to Z b anti-b production with massive bottom quarks at the Fermilab Tevatron
• One-Loop Gluonic Amplitudes from Single Unitarity Cuts
• NLO QCD corrections to the production of t-tbar-Z in gluon fusion
• One-Loop Calculations with BlackHat
• Unitarity Method with Spurious Pole
• Generalised Unitarity At One-Loop With Massive Fermions
• Next-to-Leading-Order Corrections to Weak Boson Production with a Massive Quark Jet Pair at Hadron Colliders
• Hard QCD at hadron colliders
• Automated calculations for multi-leg processes
• Light-by-light scattering amplitudes from generalized unitarity in massive QED
• An Automated Approach for $q\bar{q}\to b\bar{b}b\bar{b}$ at Next-to-Leading Order QCD
• On the Cuts of Scattering Amplitudes