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20162026
most citedKira - A Feynman Integral Reduction Program

417 citations · 1.3k across the 27 of their papers we have counts for

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hep-ph2026

Third-order mixed electroweak-QCD corrections to the W-boson mass prediction from the muon lifetime

Ievgen Dubovyk, Ayres Freitas, Janusz Gluza +1

We present the calculation of the so far missing corrections to the quantity , which relates the Fermi constant to the W-boson mass, and enables pre…

hep-ph2025

Kira 3: integral reduction with efficient seeding and optimized equation selection

Fabian Lange, Johann Usovitsch, Zihao Wu

We present version 3 of Kira, a Feynman integral reduction program for high-precision calculations in quantum field theory and gravitational-wave physics. Building on previous vers…

hep-ph2025

Performing integration-by-parts reductions using NeatIBP 1.1 + Kira

Zihao Wu, Janko Böhm, Rourou Ma +3

We introduce a new version v1.1 of NeatIBP. In this new version, a Kira interface is included. It allows the user to reduce the integration-by-parts (IBP) identity systems generate…

hep-ph2024

Planar Six-Point Feynman Integrals for Four-Dimensional Gauge Theories

Samuel Abreu, Pier Francesco Monni, Ben Page +1

We compute all planar two-loop six-point Feynman integrals entering scattering observables in massless gauge theories such as QCD. A central result of this paper is the formulation…

hep-ph2024

Towards the next Kira release

Fabian Lange, Johann Usovitsch, Zihao Wu

The reduction of Feynman integrals to a basis of master integrals plays a crucial role for many high-precision calculations and Kira is one of the leading tools for this task. In t…

hep-ph2023★ 8 cited

The Higgs-gluon form factor at three loops in QCD with three mass scales

Marco Niggetiedt, Johann Usovitsch

We report on the complete three-loop corrections to the Higgs-gluon form factor in QCD. While previous calculations are based on QCD with a single heavy quark of arbitrary mass, we…

hep-ph2023★ 10 cited

Third order correction to semileptonic decay: fermionic contributions

Matteo Fael, Johann Usovitsch

We present the QCD corrections of order to the decay rate of , with , originating from diagrams with closed fermion loops and neglecti…

hep-ph2022

Feynman parameter integration through differential equations

Martijn Hidding, Johann Usovitsch

We present a new method for numerically computing generic multi-loop Feynman integrals. The method relies on an iterative application of Feynman's trick for combining two propagato…

hep-ph2022★ 19 cited

Evaluation of multi-loop multi-scale Feynman integrals for precision physics

Ievgen Dubovyk, Ayres Freitas, Janusz Gluza +3

Modern particle physics is increasingly becoming a precision science that relies on advanced theoretical predictions for the analysis and interpretation of experimental results. Th…

hep-ph2021★ 6 cited

Developments since Kira 2.0

Fabian Lange, Philipp Maierhöfer, Johann Usovitsch

Last year we released version 2.0 of the Feynman integral reduction program Kira. In this contribution we first report on changes and new features since then and, secondly, on new…

hep-ph2020

Electroweak precision pseudo-observables at the Z-resonance peak

Ievgen Dubovyk, Ayres Freitas, Janusz Gluza +3

Phenomenologically relevant electroweak precision pseudo-observables related to Z-boson physics are discussed in the context of the strong experimental demands of future c…

hep-ph2020★ 6 cited

The analytic leading color contribution to the Higgs-gluon form factor in QCD at NNLO

Mario Prausa, Johann Usovitsch

We present an analytic three-loop result for the leading color contribution to the Higgs-gluon form factor in QCD. The leading color contribution is given at next-to-next-to-leadin…

hep-ph2020★ 356 cited

Integral Reduction with Kira 2.0 and Finite Field Methods

Jonas Klappert, Fabian Lange, Philipp Maierhöfer +1

We present the new version 2.0 of the Feynman integral reduction program Kira and describe the new features. The primary new feature is the reconstruction of the final coefficients…

hep-ph2020★ 14 cited

Factorization of denominators in integration-by-parts reductions

Johann Usovitsch

We present a Mathematica package which finds a basis of master integrals for the Feynman integral reduction. In this basis the dependence on the dimensional regularization in the d…

hep-ph2019★ 17 cited

The light-fermion contribution to the exact Higgs-gluon form factor in QCD

Robert V. Harlander, Mario Prausa, Johann Usovitsch

An analytical expression for the three-loop form factors for and is derived for the contributions which involve massless quark loops. The result is expressed in terms o…

hep-ph2019★ 44 cited

Electroweak pseudo-observables and Z-boson form factors at two-loop accuracy

Ievgen Dubovyk, Ayres Freitas, Janusz Gluza +2

We present Standard Model predictions for the complete set of phenomenologically relevant electroweak precision pseudo-observables related to the Z-boson: the leptonic and bottom-q…

hep-ph2019

Theory for the FCC-ee : Report on the 11th FCC-ee Workshop

A. Blondel, J. Gluza, S. Jadach +83

The Future Circular Collider (FCC) at CERN, a proposed 100-km circular facility with several colliders in succession, culminates with a 100 TeV proton-proton collider. It offers a…

hep-ph2018★ 24 cited

Kira 1.2 Release Notes

Philipp Maierhöfer, Johann Usovitsch

We present the Feynman integral reduction program Kira 1.2 and describe its new features and other changes w.r.t. the previous versions. The main new features include a much faster…

hep-ph2018★ 1 cited

MBnumerics: Numerical integration of Mellin-Barnes integrals in physical regions

Johann Usovitsch, Ievgen Dubovyk, Tord Riemann

We introduce techniques to treat numerically Mellin-Barnes integrals in physical regions, which arise in the need of the computation of Feynman integrals for the electroweak two-lo…

hep-ph2018★ 67 cited

Standard Model Theory for the FCC-ee Tera-Z stage

A. Blondel, J. Gluza, S. Jadach +35

The future 100-km circular collider FCC at CERN is planned to operate in one of its modes as an electron-positron FCC-ee machine. We give an overview comparing the theoretical stat…

hep-ph2018★ 97 cited

Complete electroweak two-loop corrections to Z boson production and decay

Ievgen Dubovyk, Ayres Freitas, Janusz Gluza +2

This article presents results for the last unknown two-loop contributions to the -boson partial widths and -peak cross-section. These are the so-called bosonic electroweak tw…

hep-ph2017★ 417 cited

Kira - A Feynman Integral Reduction Program

Philipp Maierhoefer, Johann Usovitsch, Peter Uwer

In this article, we present a new implementation of the Laporta algorithm to reduce scalar multi-loop integrals---appearing in quantum field theoretic calculations---to a set of ma…

hep-ph2017★ 12 cited

New prospects for the numerical calculation of Mellin-Barnes integrals in Minkowskian kinematics

Ievgen Dubovyk, Janusz Gluza, Tomasz Jelinski +2

During the last several years remarkable progress has been made in numerical calculations of dimensionally regulated multi-loop Feynman diagrams using Mellin-Barnes (MB) representa…

hep-ph2016★ 6 cited

30 years, some 700 integrals, and 1 dessert, or: Electroweak two-loop corrections to the Zbb vertex

I. Dubovyk, A. Freitas, J. Gluza +2

The one-loop corrections to the weak mixing angle derived from the vertex, are known since 1985. It took another 30 years to calculate the complete e…