Abstract
We show that a master integrand basis exists for all planar, two-loop amplitudes in massless four-dimensional theories which is fully stratified by rigidity — with each integrand being either pure and strictly polylogarithmic or (pure and) strictly elliptic-polylogarithmic, with each of the later involving a single elliptic curve. Such integrands can be said to have definite rigidity.
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Bourjaily, J.L., Kalyanapuram, N. The stratification of rigidity. J. High Energ. Phys. 2022, 84 (2022). https://doi.org/10.1007/JHEP11(2022)084
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DOI: https://doi.org/10.1007/JHEP11(2022)084