Infrared divergences in the perturbative expansion of gauge theory amplitudes and cross
sections have been a focus of theoretical investigations for almost a century. New insights …

A bstract Using a heavy-mass effective field theory (HEFT), we study gravitational-wave
emission in the scattering of two spinless black holes or neutron stars of arbitrary masses at …

This article reviews on-shell methods for analytic computation of loop amplitudes,
emphasizing techniques based on unitarity cuts. Unitarity techniques are formulated …

A bstract A number of diagrammatic “cutting rules” have recently been developed for the
wavefunction of the Universe which determines cosmological correlation functions. These …

It is a remarkable fact that MHV amplitudes in maximally supersymmetric Yang–Mills theory
at arbitrary loop order can be written as the product of the tree amplitude with the same …

We show that the complete planar S-matrix of\(\mathcal {N}= 4\) super Yang-Mills—including
all N k MHV partial amplitudes to all loops—is equivalent to the correlation function of a …

We derive a duality relation between one-loop integrals and phase-space integrals
emerging from them through single cuts. The duality relation is realized by a modification of …

A bstract We present results for the production of a pair of on-shell Z bosons via gluon-gluon
fusion. This process occurs both through the production and decay of the Higgs boson, and …

A bstract We derive a compact expression for the three-point MHV form factors of half-BPS
operators in\(\mathcal {N}= 4\) super Yang-Mills at two loops. The main tools of our …

A bstract We construct a diagrammatic coaction acting on one-loop Feynman graphs and
their cuts. The graphs are naturally identified with the corresponding (cut) Feynman integrals …