Snowmass white paper: the double copy and its applications

T Adamo, JJM Carrasco, M Carrillo-González… - arXiv preprint arXiv …, 2022 - arxiv.org
The double copy is, in essence, a map between scattering amplitudes in a broad variety of
familiar field and string theories. In addition to the mathematically rich intrinsic structure, it …

Scattering forms and the positive geometry of kinematics, color and the worldsheet

N Arkani-Hamed, Y Bai, S He, G Yan - Journal of High Energy Physics, 2018 - Springer
A bstract The search for a theory of the S-Matrix over the past five decades has revealed
surprising geometric structures underlying scattering amplitudes ranging from the string …

Perfecting one-loop BCJ numerators in SYM and supergravity

A Edison, S He, H Johansson, O Schlotterer… - Journal of High Energy …, 2023 - Springer
A bstract We take a major step towards computing D-dimensional one-loop amplitudes in
general gauge theories, compatible with the principles of unitarity and the color-kinematics …

[HTML][HTML] New BCJ representations for one-loop amplitudes in gauge theories and gravity

S He, O Schlotterer, Y Zhang - Nuclear Physics B, 2018 - Elsevier
We explain a procedure to manifest the Bern–Carrasco–Johansson duality between color
and kinematics in n-point one-loop amplitudes of a variety of supersymmetric gauge …

[HTML][HTML] 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 …

[HTML][HTML] 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 …

One-loop correlators and BCJ numerators from forward limits

A Edison, S He, O Schlotterer, F Teng - Journal of High Energy Physics, 2020 - Springer
A bstract We present new formulas for one-loop ambitwistor-string correlators for gauge
theories in any even dimension with arbitrary combinations of gauge bosons, fermions and …

[HTML][HTML] One-loop matrix elements of effective superstring interactions: α′-expanding loop integrands

A Edison, M Guillen, H Johansson… - Journal of High Energy …, 2021 - Springer
A bstract In the low-energy effective action of string theories, non-abelian gauge interactions
and supergravity are augmented by infinite towers of higher-mass-dimension operators. We …

One-loop amplitudes in Einstein-Yang-Mills from forward limits

F Porkert, O Schlotterer - Journal of High Energy Physics, 2023 - Springer
A bstract We present a method to compute the integrands of one-loop Einstein-Yang-Mills
amplitudes for any number of external gauge and gravity multiplets. Our construction relies …