356 citations · 919 across the 25 of their papers we have counts for
25 papers
The inclusive decay rate with higher precision
M. Misiak, H. M. Asatrian, K. Brune +11
We present a new and upgraded analysis of the inclusive weak radiative decay of the meson in the standard model and beyond. The perturbative corrections are…
Three-loop QCD corrections to heavy-to-light form factors and applications to inclusive decays
Matteo Fael, Tobias Huber, Fabian Lange +3
We report on the calculation of heavy-to-light form factors at and on selected phenomenological applications in inclusive -decays. After outlining the loop…
Two-loop tensor integral reduction for automated tools
Fabian Lange, Max F. Zoller
In order to exploit the full potential of the LHC and future colliders, high-precision calculations of a very wide range of observables are crucial. Automated tools for next-to-nex…
The photon-energy spectrum in to NLO: light-fermion and large- corrections
Matteo Fael, Fabian Lange, Kay Schönwald +1
We calculate the photon-energy spectrum of the inclusive radiative decay , induced by the electromagnetic dipole operator , to next-to-next-to-next-to-leading order…
Recursive reduction of two-loop tensor integrals
Fabian Lange, Max F. Zoller
In order to meet the precision requirements for the LHC and future colliders, next-to-next-to-leading order corrections to a wide range of processes are essential, making general a…
Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in collisions
Riccardo Aliberti, Paolo Beltrame, Ettore Budassi +32
We present the results of Phase I of an ongoing review of Monte Carlo tools relevant for low-energy hadronic cross sections. This includes a detailed comparison of Monte Carlo code…
Heavy-to-light form factors to three loops
Matteo Fael, Tobias Huber, Fabian Lange +3
We compute three-loop corrections of to form factors with one massive and one massless quark coupling to an external vector, axialvector, scalar, pseudoscala…
Three-loop vertex with current-current operators
Matteo Fael, Fabian Lange, Kay Schoenwald +1
We compute three-loop vertex corrections to induced by current-current operators. The results are presented as expansions in with numerical coefficients which a…
Massive three-loop form factors: anomaly contribution
Matteo Fael, Fabian Lange, Kay Schönwald +1
We compute three-loop corrections to the singlet form factors for massive quarks using a semi-analytic method which provides precise results over the whole kinematic range. Particu…
The gradient flow formulation of the electroweak Hamiltonian
Fabian Lange
Flavor observables are usually computed with the help of the electroweak Hamiltonian which separates the short-distance from the long-distance regime. The Wilson coefficients are c…
Singlet and non-singlet three-loop massive form factors
Matteo Fael, Fabian Lange, Kay Schönwald +1
We consider Quantum Chromodynamics with external vector, axial-vector, scalar and pseudo-scalar currents and compute three-loop corrections to the corresponding vertex function tak…
Three-loop non-singlet matching coefficients for heavy quark currents
Manuel Egner, Matteo Fael, Fabian Lange +2
We compute the matching coefficients between QCD and non-relativistic QCD for external vector, axial-vector, scalar and pseudo-scalar currents up to three-loop order. We concentrat…
Massive vector form factors to three loops
Matteo Fael, Fabian Lange, Kay Schoenwald +1
We compute the three-loop non-singlet corrections to the photon-quark form factors taking into account the full dependence on the virtuality of the photon and the quark mass. We co…
Effective electroweak Hamiltonian in the gradient-flow formalism
Robert V. Harlander, Fabian Lange
The effective electroweak Hamiltonian in the gradient-flow formalism is constructed for the current-current operators through next-to-next-to-leading order QCD. The results are pre…
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…
The electroweak Hamiltonian in the gradient flow formalism
Robert Harlander, Fabian Lange
Over the last decade the gradient flow formalism has become an important tool for lattice simulations of Quantum Chromodynamics. It offers remarkable renormalization properties whi…
Applications of the Perturbative Gradient Flow
Fabian Lange
Over the last decade the gradient flow formalism became an important tool for lattice simulations of Quantum Chromodynamics. It offers remarkable renormalization properties which p…
A semi-numerical method for one-scale problems applied to the -on-shell relation
Matteo Fael, Fabian Lange, Kay Schönwald +1
We discuss a practical approach to compute master integrals entering physical quantities which depend on one parameter. As an example we consider four-loop QCD corrections to the r…
A semi-analytic method to compute Feynman integrals applied to four-loop corrections to the -pole quark mass relation
Matteo Fael, Fabian Lange, Kay Schönwald +1
We describe a method to numerically compute multi-loop integrals, depending on one dimensionless parameter and the dimension , in the whole kinematic range of . The metho…
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…
Hadronic vacuum polarization using gradient flow
Robert V. Harlander, Fabian Lange, Tobias Neumann
The gradient-flow operator product expansion for QCD current correlators including operators up to mass dimension four is calculated through NNLO. This paves an alternative way for…
Interpolation of Dense and Sparse Rational Functions and other Improvements in
Jonas Klappert, Sven Yannick Klein, Fabian Lange
We present the main improvements and new features in version of the open-source library for the interpolation of rational functions…
Results and techniques for higher order calculations within the gradient-flow formalism
Johannes Artz, Robert V. Harlander, Fabian Lange +2
We describe in detail the implementation of a systematic perturbative approach to observables in the QCD gradient-flow formalism. This includes a collection of all relevant Feynman…
Reconstructing Rational Functions with
Jonas Klappert, Fabian Lange
We present the open-source library for the reconstruction of multivariate rational functions over finite fields. We discuss the involved algorithm…