A computation of two-loop six-point Feynman integrals in dimensional regularization
J Henn, A Matijašić, J Miczajka, T Peraro, Y Xu… - Journal of High Energy …, 2024 - Springer
A bstract We compute three families of two-loop six-point massless Feynman integrals in
dimensional regularization, namely the double-box, the pentagon-triangle, and the hegaxon …
dimensional regularization, namely the double-box, the pentagon-triangle, and the hegaxon …
Two-loop five-point two-mass planar integrals and double Lagrangian insertions in a Wilson loop
A bstract We consider the complete set of planar two-loop five-point Feynman integrals with
two off-shell external legs. These integrals are relevant, for instance, for the calculation of the …
two off-shell external legs. These integrals are relevant, for instance, for the calculation of the …
Principal Landau Determinants
We reformulate the Landau analysis of Feynman integrals with the aim of advancing the
state of the art in modern particle-physics computations. We contribute new algorithms for …
state of the art in modern particle-physics computations. We contribute new algorithms for …
Dissecting polytopes: Landau singularities and asymptotic expansions in 2→ 2 scattering
E Gardi, F Herzog, S Jones, Y Ma - Journal of High Energy Physics, 2024 - Springer
A bstract Parametric representations of Feynman integrals have a key property: many,
frequently all, of the Landau singularities appear as endpoint divergences. This leads to a …
frequently all, of the Landau singularities appear as endpoint divergences. This leads to a …
Algorithm for differential equations for Feynman integrals in general dimensions
L de la Cruz, P Vanhove - Letters in Mathematical Physics, 2024 - Springer
We present an algorithm for determining the minimal order differential equations associated
with a given Feynman integral in dimensional or analytic regularisation. The algorithm is an …
with a given Feynman integral in dimensional or analytic regularisation. The algorithm is an …
An exceptional cluster algebra for Higgs plus jet production
R Aliaj, G Papathanasiou - Journal of High Energy Physics, 2025 - Springer
A bstract A recent evaluation of three-loop nonplanar Feynman integrals contributing to
Higgs plus jet production has established their dependence on two novel symbol letters. We …
Higgs plus jet production has established their dependence on two novel symbol letters. We …
Identifying regions in wide-angle scattering via graph-theoretical approaches
Y Ma - Journal of High Energy Physics, 2024 - Springer
A bstract The method of regions, which provides a systematic approach for computing
Feynman integrals involving multiple kinematic scales, proposes that a Feynman integral …
Feynman integrals involving multiple kinematic scales, proposes that a Feynman integral …
The soaring kite: a tale of two punctured tori
A bstract We consider the 5-mass kite family of self-energy Feynman integrals and present a
systematic approach for constructing an ε-form basis, along with its differential equation …
systematic approach for constructing an ε-form basis, along with its differential equation …
Reductions of GKZ Systems and Applications to Cosmological Correlators
TW Grimm, A Hoefnagels - arxiv preprint arxiv:2409.13815, 2024 - arxiv.org
A powerful approach to computing Feynman integrals or cosmological correlators is to
consider them as solution to systems of differential equations. Often these can be chosen to …
consider them as solution to systems of differential equations. Often these can be chosen to …
Complete function space for planar two-loop six-particle scattering amplitudes
J Henn, A Matijašić, J Miczajka, T Peraro, Y Xu… - arxiv preprint arxiv …, 2025 - arxiv.org
We derive the full system of canonical differential equations for all planar two-loop massless
six-particle master integrals, and determine analytically the boundary conditions. This fully …
six-particle master integrals, and determine analytically the boundary conditions. This fully …