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@ARTICLE{Gracey:633347,
      author       = {Gracey, J. A. and Maier, Andreas Martin and Marquard, P.
                      and Schröder, Y.},
      title        = {{A}nomalous dimensions and critical exponents for the
                      {G}ross-{N}eveu-{Y}ukawa model at five loops},
      reportid     = {PUBDB-2025-02393, DESY-25-108. arXiv:2507.22594},
      year         = {2025},
      note         = {25 pages, 7 figures},
      abstract     = {We renormalize the Gross-Neveu-Yukawa model with an O(N )
                      symmetry to O(ϵ$^5$ ) in d = 4 − ϵdimensions and
                      determine the anomalous dimensions of the fermion and scalar
                      fields, β-functions aswell as the scalar field’s mass
                      operator. These are used to construct several N dependent
                      criticalexponents relevant for quantum transitions in
                      semi-metals and in particular those connected withgraphene
                      in three dimensions when N = 2. Improved exponent estimates
                      for scalar fermion transitionson a honeycomb lattice, when N
                      = 1, as well as for N = 5 are also given to compare with
                      resultsfrom other techniques such as the conformal
                      bootstrap.},
      cin          = {$Z_ZPPT$},
      cid          = {$I:(DE-H253)Z_ZPPT-20210408$},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) /
                      STRONG-2020 - The strong interaction at the frontier of
                      knowledge: fundamental research and applications (824093)},
      pid          = {G:(DE-HGF)POF4-611 / G:(EU-Grant)824093},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2507.22594},
      howpublished = {arXiv:2507.22594},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2507.22594;\%\%$},
      doi          = {10.3204/PUBDB-2025-02393},
      url          = {https://bib-pubdb1.desy.de/record/633347},
}