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001     570301
005     20250727013403.0
024 7 _ |a Bulava:2023mjc
|2 INSPIRETeX
024 7 _ |a inspire:2621890
|2 inspire
024 7 _ |a arXiv:2301.04072
|2 arXiv
024 7 _ |a 10.3204/PUBDB-2023-00664
|2 datacite_doi
037 _ _ |a PUBDB-2023-00664
041 _ _ |a English
088 _ _ |a arXiv:2301.04072
|2 arXiv
100 1 _ |a Bulava, John
|0 P:(DE-H253)PIP1010758
|b 0
|e Corresponding author
245 _ _ |a The spectral reconstruction of inclusive rates
260 _ _ |c 2023
336 7 _ |a Preprint
|b preprint
|m preprint
|0 PUB:(DE-HGF)25
|s 1675949918_20590
|2 PUB:(DE-HGF)
336 7 _ |a WORKING_PAPER
|2 ORCID
336 7 _ |a Electronic Article
|0 28
|2 EndNote
336 7 _ |a preprint
|2 DRIVER
336 7 _ |a ARTICLE
|2 BibTeX
336 7 _ |a Output Types/Working Paper
|2 DataCite
500 _ _ |a 16 pages, 10 figures, proceedings from the Lattice 2022 conference
520 _ _ |a A recently re-discovered variant of the Backus-Gilbert algorithm for spectral reconstruction enables the controlled determination of smeared spectral densities from lattice field theory correlation functions. A particular advantage of this approach is the \emph{a priori} specification of the kernel with which the underlying spectral density is smeared, allowing for variation of its peak position, smearing width, and functional form. If the unsmeared spectral density is sufficiently smooth in the neighborhood of a particular energy, it can be obtained from an extrapolation to zero smearing-kernel width at fixed peak position. A natural application for this approach is scattering processes summed over all hadronic final states. As a proof-of-principle test, an inclusive rate is computed in the two-dimensional O(3) sigma model from a two-point correlation function of conserved currents. The results at finite and zero smearing radius are in good agreement with the known analytic form up to energies at which 40-particle states contribute, and are sensitive to the 4-particle contribution to the inclusive rate. The straight-forward adaptation to compute the $R$-ratio in lattice QCD from two-point functions of the electromagnetic current is briefly discussed.
536 _ _ |a 613 - Matter and Radiation from the Universe (POF4-613)
|0 G:(DE-HGF)POF4-613
|c POF4-613
|f POF IV
|x 0
588 _ _ |a Dataset connected to INSPIRE
650 _ 7 |a density: spectral
|2 INSPIRE
650 _ 7 |a two-point function: electromagnetic
|2 INSPIRE
650 _ 7 |a current: electromagnetic
|2 INSPIRE
650 _ 7 |a sigma model: O(3)
|2 INSPIRE
650 _ 7 |a dimension: 2
|2 INSPIRE
650 _ 7 |a final state: hadronic
|2 INSPIRE
650 _ 7 |a correlation function
|2 INSPIRE
650 _ 7 |a lattice field theory
|2 INSPIRE
650 _ 7 |a scattering
|2 INSPIRE
650 _ 7 |a conservation law
|2 INSPIRE
693 _ _ |0 EXP:(DE-MLZ)NOSPEC-20140101
|5 EXP:(DE-MLZ)NOSPEC-20140101
|e No specific instrument
|x 0
856 4 _ |y OpenAccess
|u https://bib-pubdb1.desy.de/record/570301/files/2301.04072v1.pdf
856 4 _ |y OpenAccess
|x pdfa
|u https://bib-pubdb1.desy.de/record/570301/files/2301.04072v1.pdf?subformat=pdfa
909 C O |o oai:bib-pubdb1.desy.de:570301
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910 1 _ |a Deutsches Elektronen-Synchrotron
|0 I:(DE-588b)2008985-5
|k DESY
|b 0
|6 P:(DE-H253)PIP1010758
913 1 _ |a DE-HGF
|b Forschungsbereich Materie
|l Matter and the Universe
|1 G:(DE-HGF)POF4-610
|0 G:(DE-HGF)POF4-613
|3 G:(DE-HGF)POF4
|2 G:(DE-HGF)POF4-600
|4 G:(DE-HGF)POF
|v Matter and Radiation from the Universe
|x 0
914 1 _ |y 2023
915 _ _ |a OpenAccess
|0 StatID:(DE-HGF)0510
|2 StatID
915 _ _ |a Creative Commons Attribution CC BY 4.0
|0 LIC:(DE-HGF)CCBY4
|2 HGFVOC
915 _ _ |a Published
|0 StatID:(DE-HGF)0580
|2 StatID
920 1 _ |0 I:(DE-H253)Z_APR-20201126
|k Z_APR
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|x 0
980 _ _ |a preprint
980 _ _ |a VDB
980 _ _ |a UNRESTRICTED
980 _ _ |a I:(DE-H253)Z_APR-20201126
980 1 _ |a FullTexts

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