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001     597103
005     20250715173001.0
024 7 _ |a 10.1007/JHEP06(2023)141
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024 7 _ |a 1126-6708
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024 7 _ |a 1029-8479
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024 7 _ |a arXiv:2302.07288
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088 _ _ |a arXiv:2302.07288
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088 _ _ |a DESY-23-018
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088 _ _ |a HU-EP-22/39
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088 _ _ |a TUM-HEP-1453/23
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100 1 _ |a Bonnefoy, Quentin
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245 _ _ |a Opportunistic CP violation
260 _ _ |a [Trieste]
|c 2023
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500 _ _ |a 34 p. + 29 p. of appendices, 6 figures. v2: Table 7 added, some extended discussions, matches JHEP version
520 _ _ |a 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.
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650 _ 7 |a CP: violation
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650 _ 7 |a dimension: 4
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650 _ 7 |a operator: higher-dimensional
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650 _ 7 |a capture
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650 _ 7 |a interference
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650 _ 7 |a flavor
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650 _ 7 |a effective field theory
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650 _ 7 |a mediation
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650 _ 7 |a structure
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650 _ 7 |a electroweak interaction
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650 _ 7 |a quark
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650 _ 7 |a Jarlskog
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650 _ 7 |a suppression
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650 _ 7 |a Taylor expansion
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650 _ 7 |a CP Violation
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650 _ 7 |a Flavour Symmetries
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650 _ 7 |a SMEFT
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700 1 _ |a Gendy, Emanuele
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700 1 _ |a Grojean, Christophe
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700 1 _ |a Ruderman, Joshua T.
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773 _ _ |a 10.1007/JHEP06(2023)141
|g Vol. 06, no. 6, p. 141
|0 PERI:(DE-600)2027350-2
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|t Journal of high energy physics
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|x 1126-6708
787 0 _ |a Bonnefoy, Quentin et.al.
|d 2023
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|r DESY-23-018 ; arXiv:2302.07288 ; HU-EP-22/39 ; TUM-HEP-1453/23
|t Opportunistic CP Violation
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