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@ARTICLE{Bonnefoy:597103,
      author       = {Bonnefoy, Quentin and Gendy, Emanuele and Grojean,
                      Christophe and Ruderman, Joshua T.},
      title        = {{O}pportunistic {CP} violation},
      journal      = {Journal of high energy physics},
      volume       = {06},
      number       = {6},
      issn         = {1126-6708},
      address      = {[Trieste]},
      publisher    = {SISSA},
      reportid     = {PUBDB-2023-06432, arXiv:2302.07288. DESY-23-018.
                      HU-EP-22/39. TUM-HEP-1453/23},
      pages        = {141},
      year         = {2023},
      note         = {34 p. + 29 p. of appendices, 6 figures. v2: Table 7 added,
                      some extended discussions, matches JHEP version},
      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/Λ$^{2}$), 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) / CP Violation (autogen) / Flavour
                      Symmetries (autogen) / SMEFT (autogen)},
      cin          = {T},
      ddc          = {530},
      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)16},
      eprint       = {2302.07288},
      howpublished = {arXiv:2302.07288},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2302.07288;\%\%$},
      UT           = {WOS:001040491500003},
      doi          = {10.1007/JHEP06(2023)141},
      url          = {https://bib-pubdb1.desy.de/record/597103},
}