# Logarithmic singularities and maximally supersymmetric amplitudes

@article{Bern2014LogarithmicSA, title={Logarithmic singularities and maximally supersymmetric amplitudes}, author={Zvi Bern and Enrico Herrmann and Sean Litsey and James Stankowicz and Jaroslav Trnka}, journal={Journal of High Energy Physics}, year={2014}, volume={2015}, pages={1-70} }

A bstractThe dual formulation of planar N=4$$ \mathcal{N}=4 $$ super-Yang-Mills scattering amplitudes makes manifest that the integrand has only logarithmic singularities and no poles at infinity. Recently, Arkani-Hamed, Bourjaily, Cachazo and Trnka conjectured the same singularity properties hold to all loop orders in the nonplanar sector as well. Here we conjecture that to all loop orders these constraints give us the key integrand level analytic information contained in dual conformal…

## 71 Citations

### Maximally supersymmetric amplitudes at infinite loop momentum

- PhysicsPhysical Review D
- 2019

We investigate the asymptotically large loop-momentum behavior of multi-loop amplitudes in maximally supersymmetric quantum field theories in four dimensions. We check residue-theorem identities…

### Dual Conformal Structure Beyond the Planar Limit.

- MathematicsPhysical review letters
- 2018

It is shown that for an infinite class of nonplanar integrals that covers all subleading-color contributions to the two-loop four- and five-point amplitudes of N=4 super-Yang-Mills theory, symmetries analogous to dual conformal invariance exist.

### Yangian-type symmetries of non-planar leading singularities

- Mathematics
- 2016

A bstractWe take up the study of integrable structures behind non-planar contributions to scattering amplitudes in N=4$$ \mathcal{N}=4 $$ super Yang-Mills theory. Focusing on leading singularities,…

### Scattering in N=4 super Yang Mills and N=8 supergravity

- Mathematics
- 2017

The scattering amplitudes of planar N = 4 super-Yang-Mills theory (sYM) exhibit a number of remarkable analytic structures, including dual conformal symmetry, logarithmic singularities of integrands,…

### The two-loop five-point amplitude in N$$ \mathcal{N} $$ = 8 supergravity

- GeologyJournal of High Energy Physics
- 2019

A bstractWe compute the symbol of the two-loop five-point amplitude in N$$ \mathcal{N} $$ = 8 supergravity. We write an ansatz for the amplitude whose rational prefactors are based on not only…

### Integrands of less-supersymmetric Yang-Mills at one loop

- MathematicsJournal of High Energy Physics
- 2022

Abstract
We construct a prescriptive, bubble power-counting basis of one-loop integrands suitable for representing amplitude integrands in less-supersymmetric (1 ≤$$ \mathcal{N} $$
N
≤ 4)…

### Bootstrapping two-loop Feynman integrals for planar N=4$$ \mathcal{N}=4 $$ sYM

- MathematicsJournal of High Energy Physics
- 2018

A bstractWe derive analytic results for the symbol of certain two-loop Feynman integrals relevant for seven- and eight-point two-loop scattering amplitudes in planar N=4$$ \mathcal{N}=4 $$…

### On-shell diagrammatics and the perturbative structure of planar gauge theories

- Mathematics
- 2015

We discuss the on-shell diagrammatic representation of theories less special than maximally supersymmetric Yang-Mills. In particular, we focus on planar $\mathcal{N}\,\le\,2$ gauge theories,…

### Computing Maximally Supersymmetric Scattering Amplitudes

- Physics
- 2016

This dissertation reviews work in computing N = 4 super-Yang–Mills (sYM) and N = 8maximally supersymmetric gravity (mSUGRA) scattering amplitudes in D = 4 spacetimedimensions in novel ways.After a…

### Evidence for a nonplanar amplituhedron

- Geology
- 2015

A bstractThe scattering amplitudes of planar N$$ \mathcal{N} $$ = 4 super-Yang-Mills exhibit a number of remarkable analytic structures, including dual conformal symmetry and logarithmic…

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