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On the maximal cut of Feynman integrals and the solution of their differential equations
Abstract The standard procedure for computing scalar multi-loop Feynman integrals consists in reducing them to a basis of so-called master integrals, derive differential equations in the externalExpand
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Master integrals for the NNLO virtual corrections to μe scattering in QED: the non-planar graphs
A bstractWe evaluate the master integrals for the two-loop non-planar box-diagrams contributing to the elastic scattering of muons and electrons at next-to-next-to-leading order in QED. We adopt theExpand
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Master integrals for the NNLO virtual corrections to μe scattering in QED: the planar graphs
A bstractWe evaluate the master integrals for the two-loop, planar box-diagrams contributing to the elastic scattering of muons and electrons at next-to-next-to leading-order in QED. We adopt theExpand
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Off-shell currents and color-kinematics duality
Abstract We elaborate on the color–kinematics duality for off-shell diagrams in gauge theories coupled to matter, by investigating the scattering process g g → s s , q q ¯ , g g , and show that theExpand
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Adaptive integrand decomposition in parallel and orthogonal space
A bstractWe present the integrand decomposition of multiloop scattering amplitudes in parallel and orthogonal space-time dimensions, d = d∥ + d⊥, being d∥ the dimension of the parallel space spannedExpand
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BCJ identities and d-dimensional generalized unitarity
A bstractWe present a set of relations between one-loop integral coefficients for dimensionally regulated QCD amplitudes. Within dimensional regularization, the combined use of color-kinematicsExpand
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Adaptive Integrand Decomposition
We present a simplified variant of the integrand reduction algorithm for multiloop scattering amplitudes in $d = 4 - 2\epsilon$ dimensions, which exploits the decomposition of the integration momentaExpand
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Maximal cuts and differential equations for Feynman integrals. An application to the three-loop massive banana graph
Abstract We consider the calculation of the master integrals of the three-loop massive banana graph. In the case of equal internal masses, the graph is reduced to three master integrals which satisfyExpand
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Exact top Yukawa corrections to Higgs boson decay into bottom quarks
In this paper we present the results of the exact computation of contributions to the Higgs boson decay into bottom quarks that are proportional to the top Yukawa coupling. Our computationExpand
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On μe-scattering at NNLO in QED
We report on the current status of the analytic evaluation of the two-loop corrections to the μescattering in Quantum Electrodynamics, presenting state-of-the art techniques which have been developedExpand
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