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@ARTICLE{Chimirri:618821,
      author       = {Chimirri, Leonardo and Fritzsch, Patrick and Heitger,
                      Jochen and Joswig, Fabian and Panero, Marco and Pena, Carlos
                      and Preti, David},
      title        = {{N}on-perturbative renormalisation and improvement of
                      non-singlet tensor currents in {N}$_{f}$ = 3 {QCD}},
      journal      = {Journal of high energy physics},
      volume       = {2024},
      number       = {7},
      issn         = {1029-8479},
      address      = {[Trieste]},
      publisher    = {SISSA},
      reportid     = {PUBDB-2024-07174, arXiv:2309.04314. HU-EP-23/51.
                      IFT-UAM/CSIC-23-102. MS-TP-23-42. YITP-23-109},
      pages        = {89},
      year         = {2024},
      note         = {39 pages, 10 figures, 11 tables,},
      abstract     = {Hadronic matrix elements involving tensor currents play an
                      important rôle in decays that allow to probe the
                      consistency of the Standard Model via precision lattice QCD
                      calculations. The non-singlet tensor current is a
                      scale-dependent (anomalous) quantity. We fully resolve its
                      renormalisation group (RG) running in the continuum by
                      carrying out a recursive finite-size scaling technique. In
                      this way ambiguities due to a perturbative RG running and
                      matching to lattice data at low energies are eliminated. We
                      provide the total renormalisation factor at a hadronic scale
                      of 233 MeV, which converts the bare current into its
                      RG-invariant form.Our calculation features three flavours of
                      O(a) improved Wilson fermions and tree-level
                      Symanzik-improved gauge action. We employ the (massless)
                      Schrödinger functional renormalisation scheme throughout
                      and present the first non-perturbative determination of the
                      Symanzik counterterm c$_{T}$ derived from an axial Ward
                      identity. We elaborate on various details of our
                      calculations, including two different renormalisation
                      conditions.[graphic not available: see fulltext]},
      keywords     = {flavor: 3 (INSPIRE) / Ward identity: axial (INSPIRE) /
                      current: tensor (INSPIRE) / renormalization: nonperturbative
                      (INSPIRE) / energy: low (INSPIRE) / scaling: finite size
                      (INSPIRE) / fermion: Wilson (INSPIRE) / renormalization
                      group (INSPIRE) / quantum chromodynamics (INSPIRE) / tree
                      approximation (INSPIRE) / lattice (INSPIRE) / lattice field
                      theory (INSPIRE) / scale dependence (INSPIRE) / Lattice QCD
                      (autogen) / Non-Perturbative Renormalization (autogen) /
                      Renormalization and Regularization (autogen) /
                      Renormalization Group (autogen)},
      cin          = {$Z_ZPPT$},
      ddc          = {530},
      cid          = {$I:(DE-H253)Z_ZPPT-20210408$},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) / GRK
                      2149 - GRK 2149: Starke und schwache Wechselwirkung - von
                      Hadronen zu Dunkler Materie (269952272) / STRONG-2020 - The
                      strong interaction at the frontier of knowledge: fundamental
                      research and applications (824093)},
      pid          = {G:(DE-HGF)POF4-611 / G:(GEPRIS)269952272 /
                      G:(EU-Grant)824093},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)16},
      eprint       = {2309.04314},
      howpublished = {arXiv:2309.04314},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2309.04314;\%\%$},
      UT           = {WOS:001282223900001},
      doi          = {10.1007/JHEP07(2024)089},
      url          = {https://bib-pubdb1.desy.de/record/618821},
}