Tootfinder

Special Functions and Geometries in Scattering Amplitudes: From Particle Physics to Gravity
Roger Morales
https://arxiv.org/abs/2506.11911 https://

Special Functions and Geometries in Scattering Amplitudes: From Particle Physics to Gravity
This thesis focuses on the fields of scattering amplitudes and Feynman integrals, with an emphasis on the geometries and special functions that they involve, and is devoted to two distinct research directions. In the first half of the thesis, we explore elliptic Feynman integrals in maximally supersymmetric Yang-Mills (N = 4 SYM) theory. In particular, we study elliptic generalizations of ladder diagrams, identifying the first two families of Feynman integrals involving the same elliptic curve …

Three loop master integrals for ${\mathcal{O}} (\alpha \alpha_s^2)$ corrections to quark form factor
Tanmoy Pati, Narayan Rana
https://arxiv.org/abs/2506.15363

Three loop master integrals for ${\mathcal{O}} (αα_s^2)$ corrections to quark form factor
We consider the three-loop mixed strong-electroweak (${\mathcal{O}}(αα_s^2)$) corrections to the quark form factor. We compute the master integrals which are appearing in the Feynman diagrams containing a single massive boson in the loop. We use the state-of-the-art method of differential equations to compute all 303 of them, expressing the results in terms of generalized polylogarithms. We encounter multiple square roots that cannot be simultaneously rationalized using a single transformatio…

This https://arxiv.org/abs/2201.09176 has been replaced.
link: https://scholar.google.com/scholar?q=a

Quivers for coloured planar $ϕ^n$ theories at all loop orders for scattering processes from Feynman diagrams
We introduce Feynman-like rules to compute quivers for two loops and higher for the coloured planar $ϕ^3$ theory for winding number zero. We demonstrate this for a few cases. Then we extend this further to the case of $ϕ^n$ theories, for any n. We also construct the quivers for mixed theories. We do this at all loop order.

This https://arxiv.org/abs/2504.00155 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Monte Carlo phase space integration of multiparticle cross sections with carlomat_4.5
Multidimensional phase space integrals must be calculated in order to obtain predictions for total or differential cross sections, or to simulate unweighted events of multiparticle reactions. The corresponding matrix elements, already in the leading order, receive contributions typically from dozens of thousands of the Feynman diagrams, many of which often involve strong peaks due to denominators of some Feynman propagators approaching their minima. As the number of peaks exceeds by far the num…