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@ARTICLE{Alexandrou:483177,
      author       = {Alexandrou, C. and Bacchio, S. and Constantinou, M. and
                      Dimopoulos, P. and Finkenrath, J. and Frezzotti, R. and
                      Hadjiyiannakou, K. and Jansen, K. and Kostrzewa, B. and
                      Koutsou, G. and Spanoudes, G. and Urbach, C.},
      title        = {{F}irst moments of the nucleon transverse quark spin
                      densities using lattice {QCD}},
      reportid     = {PUBDB-2022-05150, arXiv:2202.09871},
      year         = {2022},
      abstract     = {We present a calculation of the Mellin moments of the
                      transverse quark spin densities in the nucleon using lattice
                      QCD. The densities are extracted from the unpolarized and
                      transversity generalized form factors extrapolated to the
                      continuum limit using three $N_f=2+1+1$ twisted mass fermion
                      gauge ensembles simulated with physical quark masses and
                      spanning three lattice spacings. The first moment of
                      transversely polarized quarks in an unpolarized nucleon
                      shows an interesting distortion, which can be traced back to
                      the sharp falloff of the transversity generalized form
                      factor $\bar{B}_{Tn0}(t)$. The isovector tensor anomalous
                      magnetic moment is determined to be $\kappa_T=1.051(94)$,
                      which confirms a negative and large Boer-Mulders function,
                      $h_1^{\perp}$, in the nucleon.},
      keywords     = {quark: spin: transverse (INSPIRE) / quark: spin: density
                      (INSPIRE) / spin: density (INSPIRE) / fermion: mass: twist
                      (INSPIRE) / quark: mass (INSPIRE) / nucleon (INSPIRE) /
                      lattice field theory (INSPIRE) / transversity (INSPIRE) /
                      form factor (INSPIRE) / magnetic moment (INSPIRE) /
                      isovector (INSPIRE) / lattice (INSPIRE) / moment (INSPIRE) /
                      continuum limit (INSPIRE)},
      cin          = {$Z_ZPPT$},
      cid          = {$I:(DE-H253)Z_ZPPT-20210408$},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611)},
      pid          = {G:(DE-HGF)POF4-611},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2202.09871},
      howpublished = {arXiv:2202.09871},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2202.09871;\%\%$},
      url          = {https://bib-pubdb1.desy.de/record/483177},
}