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@ARTICLE{Lu:889254,
      author       = {Lu, Zhen-Yan and Du, Meng-Lin and Guo, Feng-Kun and
                      Meißner, Ulf-G. and Vonk, Thomas},
      title        = {{QCD} θ-vacuum energy and axion properties},
      journal      = {Journal of high energy physics},
      volume       = {2020},
      number       = {5},
      issn         = {1029-8479},
      address      = {[Trieste]},
      publisher    = {SISSA},
      reportid     = {FZJ-2021-00159},
      pages        = {1},
      year         = {2020},
      abstract     = {At low energies, the strong interaction is governed by the
                      Goldstone bosons associated with the spontaneous chiral
                      symmetry breaking, which can be systematically described by
                      chiral perturbation theory. In this paper, we apply this
                      theory to study the θ-vacuum energy density and hence the
                      QCD axion potential up to next-to-leading order with N
                      non-degenerate quark masses. By setting N = 3, we then
                      derive the axion mass, self-coupling, topological
                      susceptibility and the normalized fourth cumulant both
                      analytically and numerically, taking the strong isospin
                      breaking effects into account. In addition, the
                      model-independent part of the axion-photon coupling, which
                      is important for axion search experiments, is also extracted
                      from the chiral Lagrangian supplemented with the anomalous
                      terms up to O(p6).},
      cin          = {IAS-4 / IKP-3},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IAS-4-20090406 / I:(DE-Juel1)IKP-3-20111104},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511) / DFG project 196253076 - TRR 110: Symmetrien und
                      Strukturbildung in der Quantenchromodynamik (196253076)},
      pid          = {G:(DE-HGF)POF3-511 / G:(GEPRIS)196253076},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000532132800001},
      doi          = {10.1007/JHEP05(2020)001},
      url          = {https://juser.fz-juelich.de/record/889254},
}