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@ARTICLE{Bonnefoy:570353,
      author       = {Bonnefoy, Quentin and Gendy, Emanuele and Grojean,
                      Christophe and Ruderman, Joshua T.},
      title        = {{O}pportunistic {CP} {V}iolation},
      reportid     = {PUBDB-2023-00700, DESY-23-018. arXiv:2302.07288.
                      HU-EP-22/39. TUM-HEP-1453/23},
      year         = {2023},
      note         = {Now published on the arXiv:
                      https://arxiv.org/abs/2302.07288},
      abstract     = {In the electroweak sector of the Standard Model, CP
                      violation arises through a very particular interplay between
                      the three quark generations, as described by the
                      Cabibbo--Kobayashi--Maskawa (CKM) mechanism and the single
                      Jarlskog invariant $J_4$. Once generalized to the Standard
                      Model Effective Field Theory (SMEFT), this peculiar pattern
                      gets modified by higher-dimensional operators, whose
                      associated Wilson coefficients are usually split into
                      CP-even and odd parts. However, CP violation at dimension
                      four, i.e., at the lowest order in the EFT expansion, blurs
                      this distinction: any Wilson coefficient can interfere with
                      $J_4$ and mediate CP violation. In this paper, we study such
                      interferences at first order in the SMEFT expansion,
                      $O(1/\Lambda^2)$, and we capture their associated parameter
                      space via a set of 1551 linear CP-odd flavor invariants.
                      This construction describes both new, genuinely CP-violating
                      quantities as well as the interference between $J_4$ and
                      CP-conserving ones. We call this latter possibility
                      opportunistic CP violation. Relying on an appropriate
                      extension of the matrix rank to Taylor expansions, which we
                      dub Taylor rank, we define a procedure to organize the
                      invariants in terms of their magnitude, so as to retain only
                      the relevant ones at a given precision. We explore how this
                      characterization changes when different assumptions are made
                      on the flavor structure of the SMEFT coefficients.
                      Interestingly, some of the CP-odd invariants turn out to be
                      less suppressed than $J_4$, even when they capture
                      opportunistic CPV, demonstrating that CP-violation in the
                      SM, at dimension 4, is accidentally small.},
      keywords     = {CP, violation (INSPIRE) / dimension, 4 (INSPIRE) /
                      operator, higher-dimensional (INSPIRE) / capture (INSPIRE) /
                      interference (INSPIRE) / flavor (INSPIRE) / effective field
                      theory (INSPIRE) / mediation (INSPIRE) / structure (INSPIRE)
                      / electroweak interaction (INSPIRE) / quark (INSPIRE) /
                      Jarlskog (INSPIRE) / suppression (INSPIRE) / Taylor
                      expansion (INSPIRE)},
      cin          = {T},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) / DFG
                      project 390833306 - EXC 2121: Quantum Universe (390833306)},
      pid          = {G:(DE-HGF)POF4-611 / G:(GEPRIS)390833306},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2302.07288},
      howpublished = {arXiv:2302.07288},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2302.07288;\%\%$},
      doi          = {10.3204/PUBDB-2023-00700},
      url          = {https://bib-pubdb1.desy.de/record/570353},
}