8 papers
New Tools in the Landau Bootstrap
Piotr BargieÅa, Giulio Crisanti, Craig Larkin +4
We describe recent advances in our understanding of the analytic structure of Feynman integrals. In particular, we describe two new classes of constraints on such integrals, that i…
Landau's Leviathans
Vsevolod Chestnov, Giulio Crisanti, Mathieu Giroux
We present a new method together with a proof-of-concept implementation for determining the Landau singularities of Feynman integrals, read off directly from where the Euler charac…
Magic Relations and Critical Varieties of Feynman Integrals
Giulio Crisanti, Hjalte Frellesvig, Andrzej Pokraka +1
Magic relations are a class of integration-by-parts identities where all integrals in the generating sector drop out. Since their presence causes several otherwise successful metho…
Three-loop helicity amplitudes of four-lepton scattering in QED
Giulio Crisanti, Thomas Dave, Pierpaolo Mastrolia +3
We present the analytic expressions of the three-loop virtual corrections to the helicity amplitudes of 2 -> 2 four-fermion scattering processes in massless QED. The contributing F…
High-energy evolution in planar QCD to three loops: the non-conformal contribution
Giacomo Brunello, Simon Caron-Huot, Giulio Crisanti +2
The Balitsky-Kovchegov (BK) equation offers a tractable description of the high-energy growth of gauge-theory scattering amplitudes and the nonlinear saturation effects that eventu…
Sampling Polynomial Rational Remainders with SPR: A new Package for Polynomial Division and Elimination
Vsevolod Chestnov, Giulio Crisanti
We introduce SPR, a new Mathematica package for the division and elimination of variables from polynomial systems. SPR works by sampling and reconstructing…