# Libra: A package for transformation of differential systems for multiloop integrals

@article{Lee2021LibraAP, title={Libra: A package for transformation of differential systems for multiloop integrals}, author={Roman N. Lee}, journal={Comput. Phys. Commun.}, year={2021}, volume={267}, pages={108058} }

## 16 Citations

Baikov representations, intersection theory, and canonical Feynman integrals

- Mathematics
- 2022

The method of canonical differential equations is an important tool in the calculation of Feynman integrals in quantum field theories. It has been realized that the canonical bases are closely…

A first look at the function space for planar two-loop six-particle Feynman integrals

- PhysicsJournal of High Energy Physics
- 2022

Abstract
Two-loop corrections to scattering amplitudes are crucial theoretical input for collider physics. Recent years have seen tremendous advances in computing Feynman integrals, scattering…

Integral representation for three-loop banana graph

- Mathematics
- 2021

It has recently been shown that two-loop kite-type diagrams can be computed analytically in terms of iterated integrals with algebraic kernels. This result was obtained using a new integral…

Master integrals for bipartite cuts of three-loop photon self energy

- Mathematics, Physics
- 2020

We calculate master integrals for bipartite cuts of the three-loop propagator QED diagrams. These master integrals determine the spectral density of the photon self energy. Our results are expressed…

Conservative Dynamics of Binary Systems at Fourth Post-Minkowskian Order in the Large-Eccentricity Expansion.

- PhysicsPhysical review letters
- 2022

We compute the conservative dynamics of nonspinning binaries at fourth post-Minkowskian order in the large-eccentricity limit, including both potential and radiation-reaction tail effects. This is…

Tools for perturbative high-precision calculations

- PhysicsProceedings of The Ninth Annual Conference on Large Hadron Collider Physics — PoS(LHCP2021)
- 2021

Current higher-order calculations heavily rely on publicly available tools. These are not necessarily computer programs, but it is anything that aids in different steps of calculations, e.g. also…

Non-planar elliptic vertex

- MathematicsJournal of High Energy Physics
- 2022

Abstract
We consider the problem of obtaining higher order in regularization parameter ε analytical results for master integrals with elliptics. The two commonly employed methods are provided by the…

Two-loop amplitude for mixed QCD-EW corrections to $gg \to Hg$

- Physics
- 2021

We report on the two-loop amplitude computation for the mixed QCD-electroweak corrections to the process gg → Hg, with exact dependence on the electroweak boson masses. This amplitude has been…

Differential Equations and Feynman Integrals

- MathematicsTexts & Monographs in Symbolic Computation
- 2021

The role of differential equations in the process of calculating Feynman integrals is shown. An example of a diagram is given, in the calculation of which the method of differential equations was…

Massive two-loop heavy particle diagrams

- MathematicsPhysical Review D
- 2022

We determine the master integrals for vertex and propagator diagrams that appear in effective field theories containing heavy fields. The integrals involve at least one heavy line, and the standard…

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