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@ARTICLE{Conigli:601882,
      author       = {Conigli, Alessandro and Frison, Julien and Fritzsch,
                      Patrick and Gérardin, Antoine and Heitger, Jochen and
                      Herdoiza, Gregorio and Kuberski, Simon and Pena, Carlos and
                      Simma, Hubert and Sommer, Rainer},
      title        = {$m_{B}$ and $f_{{B}^{(\star)}}$ in $2+1$ flavour {QCD} from
                      a combination of continuum limit static and relativistic
                      results},
      reportid     = {PUBDB-2024-00394, arXiv:2312.10017. HU-EP-23/70.
                      DESY-23-217. MS-TP-23-54},
      year         = {2023},
      note         = {Lattice 2023 talk},
      abstract     = {We present preliminary results for B-physics from a
                      combination of non-perturbative results in the static limit
                      with relativistic computations satisfying
                      $am_{\mathrm{heavy}}\ll 1$. Relativistic measurements are
                      carried out at the physical b-quark mass using the
                      Schrödinger Functional in a $0.5 \ \mathrm{fm}$ box. They
                      are connected to large volume observables through step
                      scaling functions that trace the mass dependence between the
                      physical charm region and the static limit, such that
                      B-physics results can be obtained by interpolation; the
                      procedure is designed to exactly cancel the troublesome
                      $\alpha_s(m_{\mathrm{heavy}})^{n+\gamma}$ corrections to
                      large mass scaling. Large volume computations for both
                      static and relativistic quantities use CLS $N_f=2+1$
                      ensembles at $m_u=m_d=m_s$, and with five values of the
                      lattice spacing down to $0.039$ fm. Our preliminary results
                      for the b-quark mass and leptonic decay constants have
                      competitive uncertainties, which are furthermore dominated
                      by statistics, allowing for substantial future improvement.
                      Here we focus on numerical results, while the underlying
                      strategy is discussed in a companion contribution.},
      keywords     = {bottom: mass (INSPIRE) / scaling (INSPIRE) / flavor
                      (INSPIRE) / quantum chromodynamics (INSPIRE) / lattice
                      (INSPIRE) / lattice field theory (INSPIRE) / charm (INSPIRE)
                      / nonperturbative (INSPIRE) / mass dependence (INSPIRE) /
                      continuum limit (INSPIRE) / numerical calculations (INSPIRE)
                      / B: leptonic decay (INSPIRE) / B*(5320) (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       = {2312.10017},
      howpublished = {arXiv:2312.10017},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2312.10017;\%\%$},
      doi          = {10.3204/PUBDB-2024-00394},
      url          = {https://bib-pubdb1.desy.de/record/601882},
}