PaperPanorama

HEP Lattice·hep-lat

Thu·Sep 3, 2026

4 papers—4 primary·0 cross-listed

All4Primary4Cross-lists0
  1. 01

    Smeared spectral functions from lattice QCD: opportunities and challenges

    Shoji Hashimoto🇯🇵

    A broad class of physical observables can be expressed in terms of smeared spectral functions. Important examples include the hadronic vacuum polarization contribution to the muon , hadronic decays, inclusive semileptonic and decays, and amplitudes for rare processes such as . In recent years, a variety of methods have been proposed to reconstruct or constrain such spectral functions from Euclidean correlators and related inputs. However, the inverse problem is intrinsically ill-posed, making it difficult to obtain fully reliable, model-independent results with controlled uncertainties. In this contribution, I summarize recent developments, discuss the opportunities offered by smeared spectral observables, and highlight the main challenges that remain.

    hep-lat0 citations
  2. 02

    Probing Criticality Using GMM-Based Potentials

    Shashank Sharma🇮🇳 · Dipankar Chakrabarti🇮🇳 · Vipul Arora🇧🇪

    Spin models with a given symmetry are easier to sample than scalar theories with the same symmetry on a lattice, as the constrained nature of spin variables enables cheap heat-bath updates. However, this constraint suppresses radial fluctuations, and consequently, spin models cannot be used to study the phenomena of spontaneous symmetry breaking, such as the Higgs phenomenon. To address this, we propose a class of scalar potentials based on Gaussian Mixture Models (GMMs) that are as easy to sample as spin models with a given symmetry. These potentials can be designed to belong to the same universality class as the theory of interest, thereby reproducing its critical properties while enabling efficient sampling. We construct such models for global symmetry, gauge symmetry, and disordered systems. We also verify by numerical experiment that the case of symmetry in two dimensions lies in the two-dimensional Ising universality class.

    hep-lathep-th0 citations
  3. 03

    Double Parton Distributions in the nucleon: Lattice parameter dependence

    Daniel Reitinger🇩🇪 · Christian Zimmermann🇺🇸 · Andreas Schäfer🇩🇪

    To make full use of the HL-LHC, especially in the search for BSM physics, all Standard Model backgrounds have to be understood with increased precision. This is especially difficult for Double Parton Interactions (DPIs) and more generally Multi Parton Interactions (MPIs), which are very difficult to isolate precisely in experiment. DPIs are parameterized by Double Parton Distributions (DPDs) and the lattice determination of the latter is, therefore, especially attractive. In our previous work on DPDs on the lattice, we focused on the results obtained from one gauge ensemble with higher than physical pion mass. In this work, we extend our efforts by investigating artifacts introduced by finite volume and the dependence on the lattice spacing. Moreover, we consider the dependence on the mass parameters. This study is carried out by employing the Wilson-Clover fermion gauge ensembles generated by the CLS collaboration.

    hep-lat0 citations
  4. 04

    On the equivalence of left-hand-cut and three-body formalisms

    André Baião-Raposo🇩🇪 · Raul Briceño🇺🇸 · Sebastian M. Dawid🇺🇸

    The "left-hand cut problem" in lattice QCD arises when exchange singularities invalidate standard relations used to extract scattering amplitudes from the finite-volume spectrum. In recent years, several approaches were proposed to resolve this problem. We establish analytically and verify numerically the equivalence between the three-body approach proposed in [JHEP 06 (2024) 051] and the two-body left-hand cut formalism developed in [JHEP 08 (2024) 075]. We test the equivalence in a scalar model describing a particle scattering from an -wave two-particle bound state through one-particle exchange. Both approaches reproduce the same infinite-volume particle--bound-state amplitude and correctly encode the associated left-hand cut in the finite-volume spectrum. Crucially, we identify that the exponentially suppressed finite-volume effects neglected in both formalisms can be numerically large, compromising amplitude extraction at small lattice volumes.

    hep-latnucl-th0 citations

Affiliations

first authorsco-authorsvia INSPIRE