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@ARTICLE{Bulava:470529,
      author       = {Bulava, John and Hansen, Maxwell T. and Hansen, Michael W.
                      and Patella, Agostino and Tantalo, Nazario},
      title        = {{I}nclusive rates from smeared spectral densities in the
                      two-dimensional {O}(3) non-linear $σ$-model},
      journal      = {Journal of high energy physics},
      volume       = {07},
      number       = {7},
      issn         = {1029-8479},
      address      = {[Trieste]},
      publisher    = {SISSA},
      reportid     = {PUBDB-2021-04207, DESY-21-201. arXiv:2111.12774.
                      HU-EP-21/49},
      pages        = {034},
      year         = {2022},
      note         = {26 pages, 11 figures},
      abstract     = {This work employs the spectral reconstruction approach of
                      ref. [1] to determine an inclusive rate in the 1 + 1
                      dimensional O(3) non-linear σ-model, analogous to the QCD
                      part of e$^{+}$e$^{−}$ → hadrons. The Euclidean
                      two-point correlation function of the conserved current j is
                      computed using Monte Carlo lattice field theory simulations
                      for a variety of spacetime volumes and lattice spacings. The
                      spectral density of this correlator is related to the
                      inclusive rate for j → X in which all final states
                      produced by the external current are summed. The ill-posed
                      inverse problem of determining the spectral density from the
                      correlation function is made tractable through the
                      determination of smeared spectral densities in which the
                      desired density is convolved with a set of known smearing
                      kernels of finite width ϵ. The smooth energy dependence of
                      the underlying spectral density enables a controlled ϵ →
                      0 extrapolation in the inelastic region, yielding the
                      real-time inclusive rate without reference to individual
                      finite-volume energies or matrix elements. Systematic
                      uncertainties due to cutoff effects and residual
                      finite-volume effects are estimated and taken into account
                      in the final error budget. After taking the continuum limit,
                      the results are consistent with the known analytic rate to
                      within the combined statistical and systematic errors. Above
                      energies where 20-particle states contribute, the overall
                      precision is sufficient to discern the four-particle
                      contribution to the spectral density.},
      keywords     = {density: spectral (INSPIRE) / width: finite (INSPIRE) /
                      finite size: effect (INSPIRE) / density: correlation
                      function (INSPIRE) / dimension: 2 (INSPIRE) / current:
                      conservation law (INSPIRE) / O(3) (INSPIRE) / sigma model:
                      nonlinear (INSPIRE) / quantum chromodynamics (INSPIRE) /
                      Euclidean (INSPIRE) / lattice (INSPIRE) / lattice field
                      theory (INSPIRE) / statistical (INSPIRE) / continuum limit
                      (INSPIRE) / energy dependence (INSPIRE) / hadron (INSPIRE) /
                      Monte Carlo (INSPIRE) / Lattice Quantum Field Theory
                      (autogen) / Sigma Models (autogen)},
      cin          = {$Z_APR$ / $Z_ZPPT$},
      ddc          = {530},
      cid          = {$I:(DE-H253)Z_APR-20201126$ / $I:(DE-H253)Z_ZPPT-20210408$},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) / GRK
                      2575 - GRK 2575: Überdenken der Quantenfeldtheorie
                      (417533893)},
      pid          = {G:(DE-HGF)POF4-611 / G:(GEPRIS)417533893},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)16},
      eprint       = {2111.12774},
      howpublished = {arXiv:2111.12774},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2111.12774;\%\%$},
      UT           = {WOS:000821876500002},
      doi          = {10.1007/JHEP07(2022)034},
      url          = {https://bib-pubdb1.desy.de/record/470529},
}