411 citations · 1.8k across the 16 of their papers we have counts for
16 papers
Landau Singularities from the Amplituhedron
Tristan Dennen, Igor Prlina, Marcus Spradlin +2
We propose a simple geometric algorithm for determining the complete set of branch points of amplitudes in planar N=4 super-Yang-Mills theory directly from the amplituhedron, witho…
Landau Singularities and Symbology: One- and Two-loop MHV Amplitudes in SYM Theory
Tristan Dennen, Marcus Spradlin, Anastasia Volovich
We apply the Landau equations, whose solutions parameterize the locus of possible branch points, to the one- and two-loop Feynman integrals relevant to MHV amplitudes in planar $\m…
The Ultraviolet Critical Dimension of Half-Maximal Supergravity at Three Loops
Zvi Bern, Scott Davies, Tristan Dennen
We determine the minimum dimension at which divergences first occur in half-maximal 16-supercharge supergravity at three loops. For the four-point amplitudes, we find that the crit…
Four photon production at the LHC: an application of 2->4 analytic unitarity
Tristan Dennen, Ciaran Williams
We present Next-to-Leading Order (NLO) predictions for final states, including the effects of photon fragmentation. Our results are calculated fully analytically using the t…
Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
Zvi Bern, Scott Davies, Tristan Dennen
We show that the four-loop four-point amplitudes of N = 5 supergravity are ultraviolet finite in four dimensions, contrary to expectations based on supersymmetry and duality-symmet…
The Ultraviolet Properties of N=4 Supergravity at Four Loops
Zvi Bern, Scott Davies, Tristan Dennen +2
We demonstrate that pure N=4 supergravity is ultraviolet divergent at four loops. The form of the divergence suggests that it is due to the rigid U(1) duality-symmetry anomaly of t…
The Ultraviolet Structure of Half-Maximal Supergravity with Matter Multiplets at Two and Three Loops
Zvi Bern, Scott Davies, Tristan Dennen
Using the duality between color and kinematics, we construct the two- and three-loop amplitudes of half-maximal supergravity with matter multiplets and show that new divergences oc…
Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops
Zvi Bern, Scott Davies, Tristan Dennen +2
We provide evidence in favor of the conjectured duality between color and kinematics for the case of nonsupersymmetric pure Yang-Mills amplitudes by constructing a form of the one-…
Integrand Oxidation and One-Loop Colour-Dual Numerators in N=4 Gauge Theory
N. Emil J. Bjerrum-Bohr, Tristan Dennen, Ricardo Monteiro +1
We present a systematic method to determine BCJ numerators for one-loop amplitudes that explores the global constraints on the loop momentum dependence. We apply this method to amp…
Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure
Zvi Bern, Scott Davies, Tristan Dennen +1
We show that the double-copy structure of gravity forbids divergences in pure half-maximal (16 supercharge) supergravity at four and five points at one loop in D<8 and at two loops…
Absence of Three-Loop Four-Point Divergences in N=4 Supergravity
Zvi Bern, Scott Davies, Tristan Dennen +1
We compute the coefficient of the potential three-loop divergence in pure N=4 supergravity and show that it vanishes, contrary to expectations from symmetry arguments. The recently…
A Color Dual Form for Gauge-Theory Amplitudes
Zvi Bern, Tristan Dennen
Recently a duality between color and kinematics has been proposed, exposing a new unexpected structure in gauge theory and gravity scattering amplitudes. Here we propose that the r…
Generalized Unitarity and Six-Dimensional Helicity
Zvi Bern, John Joseph Carrasco, Tristan Dennen +2
We combine the unitarity method with the six-dimensional helicity formalism of Cheung and O'Connell to construct loop-level scattering amplitudes. As a first example, we construct…
Dual Conformal Properties of Six-Dimensional Maximal Super Yang-Mills Amplitudes
Tristan Dennen, Yu-tin Huang
We demonstrate that the tree-level amplitudes of maximal super-Yang-Mills theory in six dimensions, when stripped of their overall momentum and supermomentum delta functions, are c…
Gravity as the Square of Gauge Theory
Zvi Bern, Tristan Dennen, Yu-tin Huang +1
We explore consequences of the recently discovered duality between color and kinematics, which states that kinematic numerators in a diagrammatic expansion of gauge-theory amplitud…
Supertwistor space for 6D maximal super Yang-Mills
Tristan Dennen, Yu-tin Huang, Warren Siegel
6D maximal super Yang-Mills on-shell amplitudes are formulated in superspace using 6 dimensional twistors. The 3,4,5-point tree amplitudes are obtained by supersymmetrizing their b…