Factorization of denominators in integration-by-parts reductions

Abstract

We present a Mathematica package which finds a basis of master integrals for the Feynman integral reduction. In this basis the dependence on the dimensional regularization in the denominators factorizes in kinematic independent polynomials.

References in corpus (20)

• Differential Equations for Two-Loop Four-Point Functions
• JaxoDraw: A graphical user interface for drawing Feynman diagrams
• FIRE5: a C++ implementation of Feynman Integral REduction
• Kira - A Feynman Integral Reduction Program
• Reduze - Feynman Integral Reduction in C++
• Automatic Integral Reduction for Higher Order Perturbative Calculations
• Scattering amplitudes over finite fields and multivariate functional reconstruction
• Towards a Basis for Planar Two-Loop Integrals
• A Systematic and Efficient Method to Compute Multi-loop Master Integrals
• Two-loop Integrand Decomposition into Master Integrals and Surface Terms
• Integration-by-parts reductions from unitarity cuts and algebraic geometry
• Reconstructing Rational Functions with $\text{FireFly}$
• Vector Space of Feynman Integrals and Multivariate Intersection Numbers
• A New Algorithm For The Generation Of Unitarity-Compatible Integration By Parts Relations
• Complete integration-by-parts reductions of the non-planar hexagon-box via module intersections
• Complete sets of logarithmic vector fields for integration-by-parts identities of Feynman integrals
• Determine Arbitrary Feynman Integrals by Vacuum Integrals
• On the computation of intersection numbers for twisted cocycles
• Direct Solution of Integration-by-Parts Systems
• Two-loop five-point massless QCD amplitudes within the IBP approach

Cited by in corpus (8)

• Integral Reduction with Kira 2.0 and Finite Field Methods
• Interpolation of Dense and Sparse Rational Functions and other Improvements in $\text{FireFly}$
• MultivariateApart: Generalized Partial Fractions
• How to choose master integrals
• $ZH$ production in gluon fusion: two-loop amplitudes with full top quark mass dependence
• Contribution of third generation quarks to two-loop helicity amplitudes for W boson pair production in gluon fusion
• Renormalized $\epsilon$-finite master integrals and their virtues: the three-loop self energy case
• Rational Function Simplification for Integration-by-Parts Reduction and Beyond