Analytic expressions for the finite remainders of two-loop leading-color helicity amplitudes in Higgs plus two-jet production are obtained in the heavy-top effective theory using numerical unitarity and a new partial-fraction algorithm.
Meyer,Transforming differential equations of multi-loop Feynman integrals into canonical form,JHEP04(2017) 006 [1611.01087]
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abstract
The method of differential equations has been proven to be a powerful tool for the computation of multi-loop Feynman integrals appearing in quantum field theory. It has been observed that in many instances a canonical basis can be chosen, which drastically simplifies the solution of the differential equation. In this paper, an algorithm is presented that computes the transformation to a canonical basis, starting from some basis that is, for instance, obtained by the usual integration-by-parts reduction techniques. The algorithm requires the existence of a rational transformation to a canonical basis, but is otherwise completely agnostic about the differential equation. In particular, it is applicable to problems involving multiple scales and allows for a rational dependence on the dimensional regulator. It is demonstrated that the algorithm is suitable for current multi-loop calculations by presenting its successful application to a number of non-trivial examples.
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CHESS package implements Chebyshev-Lobatto spectral collocation for transporting epsilon-factorized differential equations of Feynman master integrals with benchmarks showing rapid convergence and shorter wall times than local series methods.
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Two-loop leading-color QCD corrections for Higgs plus two-jet production in the heavy-top limit
Analytic expressions for the finite remainders of two-loop leading-color helicity amplitudes in Higgs plus two-jet production are obtained in the heavy-top effective theory using numerical unitarity and a new partial-fraction algorithm.
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CHESS: CHEbyshev pSeudo-Spectral transport for Feynman integral differential equations
CHESS package implements Chebyshev-Lobatto spectral collocation for transporting epsilon-factorized differential equations of Feynman master integrals with benchmarks showing rapid convergence and shorter wall times than local series methods.