678 citations · 3.6k across the 36 of their papers we have counts for
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The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes
Simon Caron-Huot, Lance J. Dixon, James M. Drummond +6
We review the bootstrap method for constructing six- and seven-particle amplitudes in planar super Yang-Mills theory, by exploiting their analytic structure. We foc…
All-order amplitudes at any multiplicity in the multi-Regge limit
V. Del Duca, S. Druc, J. M. Drummond +5
We propose an all-loop expression for scattering amplitudes in planar N=4 super Yang-Mills theory in multi-Regge kinematics valid for all multiplicities, all helicity configuration…
An analytic solution for the equal-mass banana graph
Johannes Broedel, Claude Duhr, Falko Dulat +3
We present fully analytic results for all master integrals for the three-loop banana graph with four equal and non-zero masses. The results are remarkably simple and all integrals…
The Cosmic Galois Group and Extended Steinmann Relations for Planar SYM Amplitudes
Simon Caron-Huot, Lance J. Dixon, Falko Dulat +3
We describe the minimal space of polylogarithmic functions that is required to express the six-particle amplitude in planar super-Yang-Mills theory through six and sev…
PolyLogTools - Polylogs for the masses
Claude Duhr, Falko Dulat
We review recent developments in the study of multiple polylogarithms, including the Hopf algebra of the multiple polylogarithms and the symbol map, as well as the construction of…
Six-Gluon Amplitudes in Planar Super-Yang-Mills Theory at Six and Seven Loops
Simon Caron-Huot, Lance J. Dixon, Falko Dulat +3
We compute the six-particle maximally-helicity-violating (MHV) and next-to-MHV (NMHV) amplitudes in planar maximally supersymmetric Yang-Mills theory through seven loops and six lo…
Manifestly Dual-Conformal Loop Integration
Jacob L. Bourjaily, Falko Dulat, Erik Panzer
Local, manifestly dual-conformally invariant loop integrands are now known for all finite quantities associated with observables in planar, maximally supersymmetric Yang-Mills theo…
Amplitudes in the Multi-Regge Limit of N=4 SYM
Vittorio Del Duca, Stefan Druc, James Drummond +5
A novel way of computing high-order amplitudes in the multi-Regge limit of planar maximally supersymmetric Yang-Mills theory is presented. In this framework, we are able to obtain…
All two-loop MHV remainder functions in multi-Regge kinematics
Vittorio Del Duca, Claude Duhr, Falko Dulat +1
We introduce a method to extract the symbol of the coefficient of of MHV remainder functions in planar N=4 Super Yang-Mills in multi-Regge kinematics region directly from…
Elliptic Feynman integrals and pure functions
Johannes Broedel, Claude Duhr, Falko Dulat +2
We propose a variant of elliptic multiple polylogarithms that have at most logarithmic singularities in all variables and satisfy a differential equation without homogeneous term.…
Multi-Loop Amplitudes in the High-Energy Limit in N=4 SYM
Vittorio Del Duca, Stefan Druc, James Drummond +5
We introduce a novel way to perform high-order computations in multi-Regge-kinematics in planar N=4 supersymmetric Yang-Mills theory and generalize the existing factorization into…
From modular forms to differential equations for Feynman integrals
Johannes Broedel, Claude Duhr, Falko Dulat +2
In these proceedings we discuss a representation for modular forms that is more suitable for their application to the calculation of Feynman integrals in the context of iterated in…
Elliptic symbol calculus: from elliptic polylogarithms to iterated integrals of Eisenstein series
Johannes Broedel, Claude Duhr, Falko Dulat +2
We present a generalization of the symbol calculus from ordinary multiple polylogarithms to their elliptic counterparts. Our formalism is based on a special case of a coaction on l…
The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
Vittorio Del Duca, Stefan Druc, James Drummond +5
We present an all-loop dispersion integral, well-defined to arbitrary logarithmic accuracy, describing the multi-Regge limit of the 2->5 amplitude in planar N=4 super Yang-Mills th…
Elliptic polylogarithms and iterated integrals on elliptic curves I: general formalism
Johannes Broedel, Claude Duhr, Falko Dulat +1
We introduce a class of iterated integrals, defined through a set of linearly independent integration kernels on elliptic curves. As a direct generalisation of multiple polylogarit…
Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
Vittorio Del Duca, Stefan Druc, James Drummond +5
We show that scattering amplitudes in planar N = 4 Super Yang-Mills in multi-Regge kinematics can naturally be expressed in terms of single-valued iterated integrals on the moduli…