Christoph Lehner
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View article: Efficient lattice QCD computation of radiative-leptonic-decay form factors at multiple positive and negative photon virtualities
Efficient lattice QCD computation of radiative-leptonic-decay form factors at multiple positive and negative photon virtualities Open
In previous work [D. Giusti, Methods for high-precision determinations of radiative-leptonic decay form factors using lattice QCD, ], we showed that form factors for radiative leptonic decays of pseudoscalar mesons can be determined effici…
View article: Long-distance reconstruction of QED corrections to the hadronic vacuum polarization for the muon g-2
Long-distance reconstruction of QED corrections to the hadronic vacuum polarization for the muon g-2 Open
The long-distance contribution of QED corrections to the hadronic vacuum polarization is particularly challenging to compute in lattice QCD+QED. Currently, it is one of the limiting factors towards matching the precision of the recent resu…
View article: Extended framework for the hybrid Monte Carlo in lattice gauge theory
Extended framework for the hybrid Monte Carlo in lattice gauge theory Open
We develop an extended framework for the hybrid Monte Carlo (HMC) algorithm in lattice gauge theory by embedding the SU(N) group into the space of general complex matrices, MN(C). Auxiliary directions will be completely factorized in the p…
View article: Tuning the Riemannian Manifold Hybrid Monte Carlo with Fermions
Tuning the Riemannian Manifold Hybrid Monte Carlo with Fermions Open
The Riemannian Manifold HMC (RMHMC) is designed to tackle critical slowing down by utilizing a rational function of the SU(3) gauge covariant laplace operator in place of the canonical mass term in the HMC algorithm. The RMHMC has been dem…
View article: Improvement in Autocorrelation Times Measured by the Master-Field Technique using Field Transformation HMC in 2+1 Domain Wall Fermion Simulations
Improvement in Autocorrelation Times Measured by the Master-Field Technique using Field Transformation HMC in 2+1 Domain Wall Fermion Simulations Open
The Field-Transformation Hybrid Monte-Carlo (FTHMC) algorithm potentially mitigates the issue of critical slowing down by combining the HMC with a field transformation, originally proposed by Lüscher and motivated as trivializing the theor…
View article: Hadronic light-by-light contribution to the muon anomaly from lattice QCD with infinite volume QED at physical pion mass
Hadronic light-by-light contribution to the muon anomaly from lattice QCD with infinite volume QED at physical pion mass Open
The hadronic light-by-light scattering contribution to the muon anomalous magnetic moment, (g−2)/2, is computed in the infinite volume QED framework with lattice QCD. We report aμHLbL=12.47(1.15)(0.95)×10−10 where the first error is statis…
View article: Extended framework for the hybrid Monte Carlo in lattice gauge theory
Extended framework for the hybrid Monte Carlo in lattice gauge theory Open
We develop an extended framework for the hybrid Monte Carlo (HMC) algorithm in lattice gauge theory by embedding the $SU(N)$ group into the space of general complex matrices,$M_N(\mathbb{C})$. Auxiliary directions will be completely factor…
View article: Spectral analysis for nucleon-pion and nucleon-pion-pion states in both parity sectors using distillation with domain-wall fermions
Spectral analysis for nucleon-pion and nucleon-pion-pion states in both parity sectors using distillation with domain-wall fermions Open
We present a study using the distillation method to analyze the spectra of nucleon, nucleon-pion, and nucleon-pion-pion states in the positive-parity sector, as well as nucleon and nucleon-pion states in the negative-parity sector. The stu…
View article: Lattice QCD calculation of the $π^0$-pole contribution to the hadronic light-by-light scattering in the anomalous magnetic moment of the muon
Lattice QCD calculation of the $π^0$-pole contribution to the hadronic light-by-light scattering in the anomalous magnetic moment of the muon Open
We develop a method to compute the pion transition form factor directly at arbitrary space-like photon momenta and use it to determine the $π^0$-pole contribution to the hadronic light-by-light scattering in the anomalous magnetic moment o…
View article: A high-precision continuum limit study of the HVP short-distance window
A high-precision continuum limit study of the HVP short-distance window Open
The separation of the hadronic vacuum polarization (HVP) contribution to the muon anomalous magnetic moment into Euclidean windows allows for a tailored approach to address the different dominant challenges at short, intermediate, and long…
View article: Gauge-equivariant pooling layers for preconditioners in lattice QCD
Gauge-equivariant pooling layers for preconditioners in lattice QCD Open
We demonstrate that gauge-equivariant pooling and unpooling layers can perform as well as traditional restriction and prolongation layers in multigrid preconditioner models for lattice QCD. These layers introduce a gauge degree of freedom …
View article: Gauge-equivariant multigrid neural networks
Gauge-equivariant multigrid neural networks Open
We show how multigrid preconditioners for the Wilson-clover Dirac operator can be constructed using gauge-equivariant neural networks. For the multigrid solve we employ parallel-transport convolution layers. For the multigrid setup we cons…
View article: Update of Euclidean windows of the hadronic vacuum polarization
Update of Euclidean windows of the hadronic vacuum polarization Open
We compute the standard Euclidean window of the hadronic vacuum polarization using multiple independent blinded analyses. We improve the continuum and infinite-volume extrapolations of the dominant quark-connected light-quark isospin-symme…
View article: Gauge-equivariant neural networks as preconditioners in lattice QCD
Gauge-equivariant neural networks as preconditioners in lattice QCD Open
We demonstrate that a state-of-the-art multigrid preconditioner can be learned efficiently by gauge-equivariant neural networks. We show that the models require minimal retraining on different gauge configurations of the same gauge ensembl…
View article: Erratum: Isospin 0 and 2 two-pion scattering at physical pion mass using all-to-all propagators with periodic boundary conditions in lattice QCD [Phys. Rev. D <b>107</b>, 094512 (2023)]
Erratum: Isospin 0 and 2 two-pion scattering at physical pion mass using all-to-all propagators with periodic boundary conditions in lattice QCD [Phys. Rev. D <b>107</b>, 094512 (2023)] Open
Received 22 July 2023DOI:https://doi.org/10.1103/PhysRevD.108.039902Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain a…
View article: $ΔI = 3/2$ and $ΔI = 1/2$ channels of $K\toππ$ decay at the physical point with periodic boundary conditions
$ΔI = 3/2$ and $ΔI = 1/2$ channels of $K\toππ$ decay at the physical point with periodic boundary conditions Open
We present a lattice calculation of the $K\toππ$ matrix elements and amplitudes with both the $ΔI = 3/2$ and 1/2 channels and $\varepsilon'$, the measure of direct $CP$ violation. We use periodic boundary conditions (PBC), where the correc…
View article: Isospin 0 and 2 two-pion scattering at physical pion mass using all-to-all propagators with periodic boundary conditions in lattice QCD
Isospin 0 and 2 two-pion scattering at physical pion mass using all-to-all propagators with periodic boundary conditions in lattice QCD Open
A study of two-pion scattering for the isospin channels, I=0 and I=2, using lattice QCD is presented. Möbius domain-wall fermions, on top of the Iwasaki-DSDR gauge action for gluons with periodic boundary conditions, are used for the latti…
View article: Gauge-equivariant pooling layers for preconditioners in lattice QCD
Gauge-equivariant pooling layers for preconditioners in lattice QCD Open
We demonstrate that gauge-equivariant pooling and unpooling layers can perform as well as traditional restriction and prolongation layers in multigrid preconditioner models for lattice QCD. These layers introduce a gauge degree of freedom …
View article: Methods for high-precision determinations of radiative-leptonic decay form factors using lattice QCD
Methods for high-precision determinations of radiative-leptonic decay form factors using lattice QCD Open
We present a study of lattice-QCD methods to determine the relevant hadronic form factors for radiative-leptonic decays of pseudoscalar mesons. We provide numerical results for D+s→ℓ+νγ. Our calculation is performed using a domain-wall act…
View article: Hadronic light-by-light contribution to the muon anomaly from lattice QCD with infinite volume QED at physical pion mass
Hadronic light-by-light contribution to the muon anomaly from lattice QCD with infinite volume QED at physical pion mass Open
The hadronic light-by-light scattering contribution to the muon anomalous magnetic moment, $(g-2$)/2, is computed in the infinite volume QED framework with lattice QCD. We report $a_μ^\text{HLbL}=12.47(1.15)(0.95) \times 10^{-10}$ where th…
View article: Isospin 0 and 2 two-pion scattering at physical pion mass using distillation with periodic boundary conditions in lattice QCD
Isospin 0 and 2 two-pion scattering at physical pion mass using distillation with periodic boundary conditions in lattice QCD Open
The two pion channel in Lattice QCD has long been a primary testing ground for studying multiparticle scattering in finite volume QCD. With the development of sophisticated techniques such as distillation, it is possible to carefully study…
View article: Methods for high-precision determinations of radiative-leptonic decay form factors using lattice QCD
Methods for high-precision determinations of radiative-leptonic decay form factors using lattice QCD Open
We present a study of lattice-QCD methods to determine the relevant hadronic form factors for radiative leptonic decays of pseudoscalar mesons. We provide numerical results for $D_s^+ \to \ell^+ νγ$. Our calculation is performed using a do…
View article: Isospin 0 and 2 two-pion scattering at physical pion mass using all-to-all propagators with periodic boundary conditions in lattice QCD
Isospin 0 and 2 two-pion scattering at physical pion mass using all-to-all propagators with periodic boundary conditions in lattice QCD Open
A study of two-pion scattering for the isospin channels, $I=0$ and $I=2$, using lattice QCD is presented. Möbius domain wall fermions on top of the Iwasaki-DSDR gauge action for gluons with periodic boundary conditions are used for the lat…
View article: Use of Schwinger-Dyson equation in constructing an approximate trivializing map
Use of Schwinger-Dyson equation in constructing an approximate trivializing map Open
We construct an approximate trivializing map by using a Schwinger-Dyson equation. The advantage of this method is that: (1) The basis for the flow kernel can be chosen arbitrarily by hand. (2) It can be applied to the general action of int…
View article: Update of Euclidean windows of the hadronic vacuum polarization
Update of Euclidean windows of the hadronic vacuum polarization Open
We compute the standard Euclidean window of the hadronic vacuum polarization using multiple independent blinded analyses. We improve the continuum and infinite-volume extrapolations of the dominant quark-connected light-quark isospin-symme…
View article: Gauge-equivariant neural networks as preconditioners in lattice QCD
Gauge-equivariant neural networks as preconditioners in lattice QCD Open
We demonstrate that a state-of-the-art multigrid preconditioner can be learned efficiently by gauge-equivariant neural networks. We show that the models require minimal retraining on different gauge configurations of the same gauge ensembl…
View article: Use of Schwinger-Dyson equation in constructing an approximate trivializing map
Use of Schwinger-Dyson equation in constructing an approximate trivializing map Open
We construct an approximate trivializing map by using a Schwinger-Dyson equation. The advantage of this method is that: (1) The basis for the flow kernel can be chosen arbitrarily by hand. (2) It can be applied to the general action of int…
View article: Report of the Snowmass 2021 Topical Group on Lattice Gauge Theory
Report of the Snowmass 2021 Topical Group on Lattice Gauge Theory Open
Lattice gauge theory continues to be a powerful theoretical and computational approach to simulating strongly interacting quantum field theories, whose applications permeate almost all disciplines of modern-day research in High-Energy Phys…