HEP Lattice·hep-lat

Wed·Jul 29, 2026Wednesday·July 29, 2026

10 papers—5 primary·5 cross-listed

01
TempLat: a versatile C++ engine for lattice field theories
Adrien Florio🇩🇪 · Franz R. Sattler🇩🇪
We present TempLat, a C++ framework for lattice field theory simulations in arbitrary dimensions. Its symbolic language, built on expression templates, translates mathematical expressions almost verbatim into C++ while compiling to highly optimized kernels, in contexts ranging from classical-statistical to Monte Carlo simulations. TempLat is performance-portable: building on Kokkos, it supports large CPU clusters, as well as NVIDIA and AMD GPUs. Its abstraction of hardware into a device concept makes TempLat extensible to future architectures. We demonstrate excellent strong and weak scaling on both CPUs and GPUs. We also present ParaFaFT, a standalone parallel discrete Fourier transform library supporting arbitrary dimensions on all of the above hardware, and benchmark its scaling. Both are open source and available on GitHub, and power a new release of CosmoLattice, a widely used early-universe simulation library now available on GPUs.
hep-latastro-ph.COcond-mat.stat-mechhep-ph2 citations
02
Future Requirements of Lattice Field Theory Calculations on European High-Performance Computing Facilities
Gert Aarts🇬🇧 · Gunnar Bali🇩🇪 · Jacob Finkenrath🇩🇪 · Stefan Krieg🇩🇪 · Antonio Rago🇩🇰 · Carsten Urbach🇩🇪 · Hartmut Wittig🇩🇪
Lattice field theory provides a first-principles framework for studying properties of strongly interacting quantum field theories in elementary particle physics. Researchers in lattice field theory are also among the largest and most efficient users of high- performance computing resources in fundamental science. In this contribution, we outline the computational profile of lattice QCD, from gauge-field generation to large-scale measurements, and discuss the main hardware, software, and human resource requirements needed to sustain progress on current and future European HPC infrastructures.
hep-lat0 citations
03
Normalizing Flows to Reconstruct Pseudo-PDFs
Yamil Cahuana Medrano🇺🇸 · Kostas Orginos🇺🇸
We investigate a normalizing-flow approach for reconstructing parton distribution functions (PDFs) from synthetic matrix-element data. Our framework combines Gaussian Process priors with invertible neural networks to learn a posterior distribution over PDFs consistent with limited Ioffe-time data. We demonstrate that the architecture preserves physical constraints and extrapolation properties.
hep-latcs.LGhep-ph1 citation
04
$SL (2, Z)$ Theta Subgroup Structure of Maxwell theory in the Lattice Villain Hamiltonian Formulation
Shoto Aoki🇯🇵 · Yoshio Kikukawa🇯🇵 · Toshinari Takemoto🇯🇵
We study the duality structure of lattice Maxwell theory with a theta term in the Hamiltonian Villain formulation. Reflecting the fact that odd-level Chern--Simons theory depends on a choice of spin structure, a complete realization of the full $SL (2, Z)$ structure would require fermionic degrees of freedom. We therefore restrict our analysis to the bosonic theory and focus on the theta subgroup generated by the $S$ and $T^{2}$ transformations. We construct these transformations at the operator level and show that they realize the theta subgroup structure of $SL (2, Z)$ . We also extend the analysis to sectors with electric and magnetic charges, introduced as violations of the Gauss-law constraint and the Bianchi identity, respectively. We show that the $S$ transformation exchanges electric and magnetic charges, while the $T^{2}$ transformation realizes the Witten effect. Finally, we discuss a related non-invertible defect obtained by gauging a $Z_{N}$ subgroup of the global $U (1)$ $1$ -form symmetry, and show that its fusion rule reproduces the expected Tambara--Yamagami structure.
hep-lathep-th0 citations
05
Radiative decays of the $h_{c}$ meson from lattice QCD
Mischa Batelaan🇺🇸 · Jozef J. Dudek🇺🇸 · Robert G. Edwards🇺🇸
We explore, for the first time in lattice QCD, the radiative decays to $γ η$ and $γ η^{'}$ of the $J^{P C} = 1^{+-}$ charmonium state, $h_{c}$ . This work expands upon a previous calculation of $J / ψ$ decays to the same final states, incorporating novel technology to access the $h_{c}$ where it is an excited state and to separate the independent electric dipole and longitudinal form--factors. Results for the radiative decay rates, computed on three-flavor lattices with $m_{π} \sim$ 391 MeV show a suppression relative to experiment that is similar to that observed in the prior calculation of $J / ψ \to γ η^{(')}$ . The timelike $Q^{2}$ dependence of both form--factors together influence the Dalitz decays, $h_{c} \to ℓ^{+} ℓ^{-} η^{(')}$ , which are as yet unmeasured experimentally.
hep-lat0 citations
06
Realizing Error Suppression in Partially Fault-Tolerant Quantum Simulations with IBM Quantum Computers
Henry Froland🇺🇸 · Dorota M. Grabowska🇺🇸 · Sebastian Grieninger🇺🇸 · Jeremy Hartse🇺🇸 · Anne L. Lashbrook · Zhiyao Li🇺🇸 · Ziyuan Li · Sarah J. M. Powell · Martin J. Savage🇺🇸 · Xiaojun Yao🇺🇸 · Nikita A. Zemlevskiy🇺🇸
Quantum error-detecting codes offer a near-term path for improving the performance of quantum simulations on noisy hardware. Using IBM's superconducting quantum computer ibm_boston, we show that partially fault-tolerant encoded quantum simulations of the Ising model in 1+1D and 2+1D outperform their unencoded counterparts in estimating local observables. To represent 42 logical qubits on the heavy-hex quantum processor, 21 blocks of the [[4, 2, 2]] Iceberg code and up to 136 physical qubits are used. By pairing fault-tolerant syndrome extraction with non-fault-tolerant logical operations, this scheme preserves many of the benefits of error detection while avoiding the overhead typically required for a fully fault-tolerant logical gate set. The encoding's square logical connectivity, together with the freedom to place logical qubits within each block, enables simulations of a 2D spatial lattice with lower circuit depth than the unencoded implementation requires. We introduce Observable-Ranked Postselection, a selective-filtering technique based on syndrome correlations that recovers reliable results without the prohibitive shot loss of full syndrome postselection. Under the cumulative effect of device errors, this encoding improves local-observable accuracy over the unencoded baseline by 2-6% at intermediate times in 1+1D simulations, growing with circuit depth to over 200% in 2+1D at the latest times studied.
↳ quant-phhep-lathep-phnucl-th2 citations
07
NNLO Determination of Polarized Parton Distribution Functions with Higher-Twist and Target-Mass Corrections
Javad Shahrzad🇮🇷 · Elliot Leader🇬🇧 · Ali Khorramian🇮🇷
We present a next-to-next-to-leading order (NNLO) QCD analysis of polarized parton distribution functions (PDFs) based on the world data set of inclusive polarized deep-inelastic scattering (DIS). The resulting PDF set, denoted as \texttt{KLS26}, includes a consistent treatment of target-mass corrections (TMCs), higher-twist (HT) contributions, and positivity constraints within a fully NNLO framework. To estimate the residual theoretical uncertainty associated with nonperturbative power corrections, both additive and multiplicative HT parametrizations are considered. Although these two approaches lead to different higher-twist coefficients, the current results yield very similar fit qualities and compatible polarized PDFs within uncertainties. The impact of NNLO corrections is assessed through a comparison with the KLSS21 polarized PDF determination at NLO, showing the most visible changes in the polarized strange-quark distribution, together with moderate modifications in the gluon sector and smaller effects in the up- and down-quark helicity distributions. Additional fits treating the nonsinglet axial charges as free parameters, together with different higher-twist implementations, induce small but flavor-dependent modifications in the PDFs, with the most noticeable effects in the polarized strange-quark distribution and moderate sensitivity in the gluon. The \texttt{KLS26} set establishes an updated determination of helicity-dependent parton distributions, enabling future precision studies of nucleon spin structure.
↳ hep-phhep-exhep-lat0 citations
08
Isolating Scheme Dependence of Quasi-PDFs in the RI/MOM Scheme
Junegone Chay🇰🇷
Quasi-parton distribution functions provide a framework for relating lightcone parton distributions to correlation functions in Euclidean lattice QCD. Their connection to lightcone distributions is established through perturbative matching, whose form depends on the renormalization prescription adopted for the quasi-PDF. In the ordinary RI/MOM scheme, the off-shell reference momentum enters both the renormalized quasi-PDF and the matching coefficient. We propose modified finite renormalization schemes in which neither quantity depends on the RI/MOM reference momentum. Starting from the ordinary RI/MOM scheme, we identify the part to be retained in the renormalized quasi-PDF and include the remaining finite part in the counterterm. We consider a minimal RI/MOM scheme and a modified minimal scheme as specific examples. We derive the corresponding one-loop renormalized quasi-PDFs, counterterms, matching coefficients, and renormalization-group equations, and show explicitly that the finite transformation removes the dependence on the RI/MOM reference momentum from both the renormalized quasi-PDF and the counterterm in the modified schemes.
↳ hep-phhep-lat0 citations
09
Ab initio lattice calculation of nuclear magnetic dipole moments with systematic error quantifications
Teng Wang🇨🇳 · Serdar Elhatisari🇹🇷 · Xu Feng🇨🇳 · Dean Lee🇺🇸 · Bing-Nan Lu🇨🇳 · Yuan-Zhuo Ma🇺🇸
Nuclear magnetic moments are sensitive probes of nuclear structure. However, their accurate quantitative description poses significant challenges, demanding both accurate nuclear and electromagnetic interactions as well as rigorous control of algorithmic uncertainties. Here, we present the first systematic calculation of magnetic dipole moments for selected light nuclei and aluminum isotopes within nuclear lattice effective field theory (NLEFT), an \textit{ab initio} framework applicable to medium-mass and heavy nuclei. Our calculations employ a lattice next-to-next-to-next-to-leading-order (N $^{3}$ LO) chiral interaction together with electromagnetic currents consistently derived up to the two-body level. To achieve controlled predictions, we incorporate recently developed NLEFT algorithms and perform a comprehensive assessment of algorithmic uncertainties. Within the estimated uncertainties, our results are in good overall agreement with experiment and demonstrate that two-body currents are essential for reproducing the observed magnetic moments. We further benchmark our predictions against other \textit{ab initio} calculations for light nuclei ( $A \leq 12$ ). Our work establishes a solid foundation for \textit{ab initio} studies of electroweak observables using methods that scale efficiently to medium-mass and heavy nuclei while demonstrating state-of-the-art accuracy.
↳ nucl-thhep-latnucl-ex1 citation
10
Form factors of the $ρ$ -meson in chiral perturbation theory
Kakha Shamanauri🇩🇪 · Jambul Gegelia🇩🇪 · Ulf-G. Meißner🇩🇪 · Akaki Rusetsky🇩🇪
We present the calculation of the electromagnetic form factors of the $ρ$ -meson at one loop in Chiral Perturbation Theory. The power-counting-violating terms in the loop diagrams are subtracted by using infrared regularization, and the Ward identities are explicitly verified at the order considered. The results are compared to the recent calculations carried out in the framework of non-relativistic effective field theory.
↳ hep-phhep-latnucl-th0 citations

Affiliations

first authorsco-authorsvia INSPIRE