Two-loop non-planar hexa-box integrals with one massive leg
arXiv:2201.07509 · doi:10.1007/JHEP05(2022)033
Abstract
Based on the Simplified Differential Equations approach, we present results for the two-loop non-planar hexa-box families of master integrals. We introduce a new approach to obtain the boundary terms and establish a one-dimensional integral representation of the master integrals in terms of Generalised Polylogarithms, when the alphabet contains non-factorisable square roots. The results are relevant to the study of NNLO QCD corrections for and Higgs-boson production in association with two hadronic jets.
arXiv commentAncillary files attached. Mathematica notebook files updated. Accepted for publication in JHEP
References in corpus (36)
- Multiloop integrals in dimensional regularization made simple
- Differential Equations for Two-Loop Four-Point Functions
- Numerical evaluation of multiple polylogarithms
- Automatized analytic continuation of Mellin-Barnes integrals
- FIRE6: Feynman Integral REduction with Modular Arithmetic
- JaxoDraw: A graphical user interface for drawing Feynman diagrams. Version 2.0 release notes
- Lectures on differential equations for Feynman integrals
- HypExp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters
- From polygons and symbols to polylogarithmic functions
- FIESTA 4: optimized Feynman integral calculations with GPU support
- PolyLogTools - Polylogs for the masses
- HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
- Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes
- Expansion by regions: revealing potential and Glauber regions automatically
- Pentagon functions for massless planar scattering amplitudes
- - XSummer - Transcendental Functions and Symbolic Summation in Form
- Collider Physics at the Precision Frontier
- Iterative structure of finite loop integrals
- Pentagon Functions for Scattering of Five Massless Particles
- Generalised power series expansions for the elliptic planar families of Higgs + jet production at two loops
- Multiple polylogarithms with algebraic arguments and the two-loop EW-QCD Drell-Yan master integrals
- Two-Loop Integrals for Planar Five-Point One-Mass Processes
- Pentagon Functions for One-Mass Planar Scattering Amplitudes
- HandyG -- rapid numerical evaluation of generalised polylogarithms in Fortran
- Leading-Color Two-Loop Amplitudes for Four Partons and a W Boson in QCD
- Numerical Evaluation of Tensor Feynman Integrals in Euclidean Kinematics
- Two-Loop Hexa-Box Integrals for Non-Planar Five-Point One-Mass Processes
- Analytic representation of all planar two-loop five-point Master Integrals with one off-shell leg
- On the reduction of generalized polylogarithms to and and on the evaluation thereof
- Simplified differential equations approach for Master Integrals
- Two-loop Master Integrals with the Simplified Differential Equations approach
- MBsums - a Mathematica package for the representation of Mellin-Barnes integrals by multiple sums
- GiNaC - Symbolic computation with C++
- Internal Reduction method for computing Feynman Integrals
- Pentagon integrals to arbitrary order in the dimensional regulator
- Resummation methods for Master Integrals