# Pentagon functions for one-mass planar scattering amplitudes

@article{Chicherin2022PentagonFF, title={Pentagon functions for one-mass planar scattering amplitudes}, author={Dmitry Chicherin and V. Sotnikov and Simone Zoia}, journal={Journal of High Energy Physics}, year={2022} }

Abstract
We present analytic results for all planar two-loop Feynman integrals contributing to five-particle scattering amplitudes with one external massive leg. We express the integrals in terms of a basis of algebraically-independent transcendental functions, which we call one-mass pentagon functions. We construct them by using the properties of iterated integrals with logarithmic kernels. The pentagon functions are manifestly free of unphysical branch cuts, do not require analytic…

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