255 citations · 875 across the 21 of their papers we have counts for
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Scattering amplitudes over finite fields and multivariate functional reconstruction
Tiziano Peraro
Several problems in computer algebra can be efficiently solved by reducing them to calculations over finite fields. In this paper, we describe an algorithm for the reconstruction o…
Adaptive Integrand Decomposition
Pierpaolo Mastrolia, Tiziano Peraro, Amedeo Primo +1
We present a simplified variant of the integrand reduction algorithm for multiloop scattering amplitudes in dimensions, which exploits the decomposition of the integra…
Small- resummation from HELL
Marco Bonvini, Simone Marzani, Tiziano Peraro
Small- logarithmic enhancements arising from high-energy gluon emissions affect both the evolution of collinearly-factorized parton densities and partonic coefficient functions.…
Local integrands for two-loop QCD amplitudes
Simon Badger, Gustav Mogull, Tiziano Peraro
In this talk we review the recent computation of the five- and six-gluon two-loop amplitudes in Yang-Mills theory using local integrands which make the infrared pole structure mani…
Local integrands for two-loop all-plus Yang-Mills amplitudes
Simon Badger, Gustav Mogull, Tiziano Peraro
We express the planar five- and six-gluon two-loop Yang-Mills amplitudes with all positive helicities in compact analytic form using D-dimensional local integrands that are free of…
Adaptive Integrand Decomposition in parallel and orthogonal space
Pierpaolo Mastrolia, Tiziano Peraro, Amedeo Primo
We present the integrand decomposition of multiloop scattering amplitudes in parallel and orthogonal space-time dimensions, , being the dimensi…