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@ARTICLE{Erben:625585,
      author       = {Erben, Felix and Gülpers, Vera and Hansen, Maxwell T. and
                      Hodgson, Raoul Rustell and Portelli, Antonin},
      title        = {{E}xploratory calculation of the rare hyperon decay
                      $\Sigma^+ \to p \ell^+ \ell^-$ from lattice {QCD}},
      journal      = {Journal of high energy physics},
      volume       = {2025},
      number       = {7},
      issn         = {1126-6708},
      address      = {Heidelberg},
      publisher    = {Springer},
      reportid     = {PUBDB-2025-01138, DESY-25-057. CERN-TH-2025-055.
                      arXiv:2504.07727},
      pages        = {038},
      year         = {2025},
      note         = {35 pages, 16 figures and 6 tables. Prepared for submission
                      to JHEP},
      abstract     = {The rare hyperon decay $\Sigma^+ \to p \ell^+ \ell^-$ is a
                      flavour-changing neutral current process mediated by an $s
                      \to d$ transition that occurs only at loop level within the
                      Standard Model. Consequently, this decay is highly
                      suppressed, making it a promising avenue for probing
                      potential new physics. While phenomenological calculations
                      have made important progress in predicting the decay
                      amplitude, there remains a four-fold ambiguity in the
                      relevant transition form factors that prevents a unique
                      prediction for the branching fraction and angular
                      observables. Fully resolving this ambiguity requires a
                      first-principles Standard-Model calculation, and an
                      anticipated new analysis of the process using LHCb Run 2
                      data reinforces the timeliness of such a calculation. In
                      this work, we present the first lattice-QCD calculation of
                      this decay, performed using a 2+1-flavour domain-wall
                      fermion ensemble with a pion mass of $340 \, \text{MeV}$. At
                      a small baryon source-sink separation, we observe the
                      emergence of a signal in the relevant baryonic four-point
                      functions. This allows us to determine the positive-parity
                      form factors for the rare hyperon decays from
                      first-principles, albeit with large statistical and
                      systematic uncertainties.},
      cin          = {$Z_ZPPT$},
      ddc          = {530},
      cid          = {$I:(DE-H253)Z_ZPPT-20210408$},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) / RAD
                      TORCH - Rare decays of heavy mesons to resonant channels
                      (101106913) / NewPhysLat - Search for new physics through
                      lattice simulations (757646) / EuroPLEx - European network
                      for Particle physics, Lattice field theory and Extreme
                      computing (813942)},
      pid          = {G:(DE-HGF)POF4-611 / G:(EU-Grant)101106913 /
                      G:(EU-Grant)757646 / G:(EU-Grant)813942},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)16},
      eprint       = {2504.07727},
      howpublished = {arXiv:2504.07727},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2504.07727;\%\%$},
      doi          = {10.1007/JHEP07(2025)038},
      url          = {https://bib-pubdb1.desy.de/record/625585},
}