232 citations · 2.9k across the 53 of their papers we have counts for
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A Lie bracket for the momentum kernel
Hadleigh Frost, Carlos R. Mafra, Lionel Mason
We develop new mathematical tools for the study of the double copy and colour-kinematics duality for tree-level scattering amplitudes using the properties of Lie polynomials. We sh…
Planar binary trees in scattering amplitudes
Carlos R. Mafra
These notes are a written version of my talk given at the CARMA workshop in June 2017, with some additional material. I presented a few concepts that have recently been used in the…
Towards closed strings as single-valued open strings at genus one
Jan E. Gerken, Axel Kleinschmidt, Carlos R. Mafra +2
We relate the low-energy expansions of world-sheet integrals in genus-one amplitudes of open- and closed-string states. The respective expansion coefficients are elliptic multiple…
A closed-formula solution to the color-trace decomposition problem
Ruggero Bandiera, Carlos R. Mafra
In these notes we present a closed-formula solution to the problem of decomposing traces of Lie algebra generators into symmetrized traces and structure constants. The solution is…
Two-loop superstring five-point amplitudes II: Low energy expansion and S-duality
Eric D'Hoker, Carlos R. Mafra, Boris Pioline +1
In an earlier paper, we constructed the genus-two amplitudes for five external massless states in Type II and Heterotic string theory, and showed that the alpha' expansion of the T…
Two-loop superstring five-point amplitudes I: Construction via chiral splitting and pure spinors
Eric D'Hoker, Carlos R. Mafra, Boris Pioline +1
The full two-loop amplitudes for five massless states in Type~II and Heterotic superstrings are constructed in terms of convergent integrals over the genus-two moduli space of comp…