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19962026
most citedCalculating Scattering Amplitudes Efficiently

352 citations · 362 across the 7 of their papers we have counts for

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hep-th2026

Antipodal Self-Duality for Generalized Fishnets from Integrability

Lance J. Dixon, Claude Duhr, Francesca C. Fernandes +1

Antipodal self-duality (ASD) is a remarkable property that relates an amplitude to itself, after performing a suitable kinematic map and reversing the letters of the symbol (more p…

hep-th2026

Multi-Loop Negative Geometries

Lance J. Dixon, Umut Oktem, Shruti Paranjape +3

Scattering amplitudes in planar supersymmetric Yang-Mills theory are dual to expectation values of null polygonal Wilson loops. The Amplituhedron provides a geometric…

hep-th2025★ 4 cited

Antipodal self-duality of square fishnet graphs

Lance J. Dixon, Claude Duhr

In strongly-deformed planar super-Yang-Mills theory, or fishnet theory, a point-split single-trace correlation function of four dimension- scalar operators is given…

hep-th2024

Rational QCD loop amplitudes and quantum theories on twistor space

Lance J. Dixon, Anthony Morales

We show how curing an anomaly of the twistor uplift of self-dual Yang-Mills theory implies linear relations among one-loop, -gluon, color-ordered subamplitudes in QCD, when all…

hep-th2024★ 6 cited

A Two-Loop Four-Point Form Factor at Function Level

Lance J. Dixon, Shuo Xin

Recently, the maximally-helicity-violating four-point form factor for the chiral stress-energy tensor in planar super Yang-Mills was computed to three loops at the…

hep-th2024

The Three-Point Form Factor of to Six Loops

Benjamin Basso, Lance J. Dixon, Alexander G. Tumanov

We study the three-point form factor of the length-three half-BPS operator () in planar Super-Yang-Mills theory, using analyticity and integrabili…

hep-th2024

On gauge amplitudes first appearing at two loops

Lance J. Dixon, Anthony Morales

We study scattering amplitudes in massless non-abelian gauge theory where all outgoing gluons have positive helicity. It has been argued recently by Costello that for a particular…