Scattering amplitudes from intersection theory

S Mizera - Physical Review Letters, 2018 - APS
We use Picard-Lefschetz theory to prove a new formula for intersection numbers of twisted
cocycles associated with a given arrangement of hyperplanes. In a special case when this …

Scattering equations in AdS: scalar correlators in arbitrary dimensions

L Eberhardt, S Komatsu, S Mizera - Journal of High Energy Physics, 2020 - Springer
A bstract We introduce a bosonic ambitwistor string theory in AdS space. Even though the
theory is anomalous at the quantum level, one can nevertheless use it in the classical limit to …

Efficient calculation of crossing symmetric BCJ tree numerators

A Edison, F Teng - Journal of High Energy Physics, 2020 - Springer
A bstract In this paper, we develop an improved method for directly calculating double-copy-
compatible tree numerators in (super-) Yang-Mills and Yang-Mills-scalar theories. Our new …

The SAGEX review on scattering amplitudes Chapter 6: Ambitwistor Strings and Amplitudes from the Worldsheet

Y Geyer, L Mason - Journal of Physics A: Mathematical and …, 2022 - iopscience.iop.org
Starting with Witten's twistor string, chiral string theories have emerged that describe field
theory amplitudes without the towers of massive states of conventional strings. These …

Two-loop scattering amplitudes from ambitwistor strings: from genus two to the nodal Riemann sphere

Y Geyer, R Monteiro - Journal of High Energy Physics, 2018 - Springer
A bstract We derive from ambitwistor strings new formulae for two-loop scattering amplitudes
in supergravity and super-Yang-Mills theory, with any number of particles. We start by …

Gluons and gravitons at one loop from ambitwistor strings

Y Geyer, R Monteiro - Journal of High Energy Physics, 2018 - Springer
A bstract We present new and explicit formulae for the one-loop integrands of scattering
amplitudes in non-supersymmetric gauge theory and gravity, valid for any number of …

String amplitudes from field-theory amplitudes and vice versa

S He, F Teng, Y Zhang - Physical Review Letters, 2019 - APS
We present an integration-by-parts reduction of any massless tree-level string correlator to
an equivalence class of logarithmic functions, which can be used to define a field-theory …

Ambitwistor formulations of R2 gravity and (DF) 2 gauge theories

T Azevedo, OT Engelund - Journal of High Energy Physics, 2017 - Springer
A bstract We consider D-dimensional amplitudes in R 2 gravities (conformal gravity in D= 4)
and in the recently introduced (DF) 2 gauge theory, from the perspective of the CHY …

String correlators: recursive expansion, integration-by-parts and scattering equations

S He, F Teng, Y Zhang - Journal of High Energy Physics, 2019 - Springer
A bstract We further elaborate on the general construction proposed in [1], which connects,
via tree-level double copy, massless string amplitudes with color-ordered QFT amplitudes …

The complex null string, Galilean conformal algebra and scattering equations

E Casali, Y Herfray, P Tourkine - Journal of High Energy Physics, 2017 - Springer
A bstract The scattering equation formalism for scattering amplitudes, and its stringy
incarnation, the ambitwistor string, remains a mysterious construction. In this paper, we …