PaperPanorama

HEP Lattice·hep-lat

Wed·Jul 15, 2026

5 papers—3 primary·2 cross-listed

All5Primary3Cross-lists2
  1. 01

    Multi-Hadron Scattering from Lattice Quantum Chromodynamics

    Haobo Yan🇨🇳

    This thesis develops lattice-QCD methods for studying hadron structure, scattering, and decays, with particular emphasis on multi-hadron resonances. The \texttt{Mathematica} package \texttt{OpTion} is developed to automate the construction of lattice multi-hadron operators. Finite-volume spectra are related to infinite-volume amplitudes through quantization conditions. For coupled-channel scattering, the pion-mass dependence of the pole trajectories and the scattering length are determined, and the results support a two-pole structure for the . The thesis then studies the three-pion decay of the . Two- and three-body spectra are calculated, and three-body quantization conditions and effective field theory descriptions are developed. The extracted resonance pole, extrapolated to the physical point, gives a mass and width consistent with experiment and establishes a practical first-principles procedure for interacting three-body systems. These methods are further applied to the , providing, for the first time, first-principles predictions of its resonance pole at several pion masses and revealing significant three-body effects. Finally, radiative and semileptonic decays of charmed mesons are investigated, and a model-independent method is developed to extract transition form factors with improved precision. These results advance the first-principles study of coupled-channel and three-body hadron resonances and provide new insight into their structure and decays.

    hep-lathep-ph0 citations
  2. 02

    Lattice Configuration Generation with a Self-Learning Diffusion Model

    Akio Tomiya🇯🇵

    We show that a diffusion sampler for lattice-field configurations can be self-trained without preparing target-ensemble training configurations using an external Monte Carlo calculation. Starting from exactly sampled configurations at , we use action-difference weights to train the score at the next coupling. Proposals from a fixed model are Metropolis-Hastings corrected at every noise level, and the resulting chain supplies training configurations for the next stage. This procedure defines the self-learning diffusion sampler SLDiffusion. In the two-dimensional compact XY model, self-training proceeds from to at and extends to at . The energy and vortex densities agree with independent Hybrid Monte Carlo calculations within combined standard errors. Their integrated autocorrelation times, measured in stored updates, remain below two at all volumes studied. These results demonstrate a diffusion sampler whose training can be initialized and continued without external target-coupling ensembles.

    hep-latcond-mat.str-el1 citation
  3. 03

    Inclusive P-wave Quarkonium Decay Widths from Lattice QCD and pNRQCD

    Nora Brambilla🇩🇪 · Viljami Leino🇩🇰 · Julian Mayer-Steudte🇩🇪 · Panayiotis Panayiotou🇩🇪 · Andrea Shindler🇩🇪 · Antonio Vairo🇩🇪 · Xiang-Peng Wang🇨🇳

    Inclusive hadronic decay widths remain a long-standing challenge for first-principles QCD. We present a framework combining lattice QCD with strongly-coupled potential nonrelativistic QCD (pNRQCD) to compute inclusive P-wave heavy quarkonium decays to light hadrons. At leading order in the velocity expansion, all nonperturbative effects, apart from the square of the derivative of the wavefunction at the origin, are encoded in a single universal moment of the two-point chromoelectric correlator, which we determine for the first time from a quenched lattice QCD calculation matched to via the gradient flow. Combined with perturbative short-distance coefficients and the square of the derivative of the wavefunction at the origin, our result reproduces the observed widths and, at the same time, provides predictions for the unmeasured widths. The framework extends naturally to inclusive decays and production of ordinary and exotic hadrons.

    hep-lathep-exhep-phhep-th0 citations
  4. 04

    Interpreting the Newly Observed State in the Spin- Spectrum

    K. Azizi🇮🇷 · Y. Sarac🇹🇷 · H. Sundu🇹🇷

    We analyze the low lying spin- spectrum by means of the two point QCD sum rule approach. The analysis is motivated by the BESIII observation of the resonance, reported with mass and favored quantum numbers . In this framework, we include the , , and configurations as possible low lying spin- cascade states. The extracted masses are , , and for the , , and states, respectively. The mass obtained for the configuration agrees with the BESIII value within uncertainties and favors the assignment of as the first radial spin- excitation of the baryon.

    ↳ hep-phhep-exhep-lat0 citations
  5. 05

    Hadronic vacuum polarization contribution to from functional methods with strong and electromagnetic isospin breaking

    Angel S. Miramontes🇪🇸 · Adnan Bashir🇪🇸 · Christian S. Fischer🇩🇪 · Pablo Roig🇲🇽

    We present a continuum-QCD determination of the leading-order hadronic vacuum-polarization contribution to the anomalous magnetic moment of the muon within the Dyson-Schwinger and Bethe-Salpeter equation framework. The calculation incorporates pion back-reaction, a fully dressed quark-photon vertex with a dynamically generated -resonance structure in the timelike region, and both strong and electromagnetic isospin breaking treated self-consistently at the quark level. We obtain , in good agreement with recent lattice-QCD determinations, and find an isospin-breaking shift of (), demonstrating that isospin-breaking effects, while quantitatively modest, are not negligible. Including the bottom-quark contribution and an indicative estimate of the systematic uncertainties, we obtain our final result, .

    ↳ hep-phhep-latnucl-th0 citations

Affiliations

first authorsco-authorsvia INSPIRE