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000570353 0247_ $$2arXiv$$aarXiv:2302.07288
000570353 0247_ $$2datacite_doi$$a10.3204/PUBDB-2023-00700
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000570353 1001_ $$0P:(DE-H253)PIP1090387$$aBonnefoy, Quentin$$b0
000570353 245__ $$aOpportunistic CP Violation
000570353 260__ $$c2023
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000570353 500__ $$aNow published on the arXiv: https://arxiv.org/abs/2302.07288
000570353 520__ $$aIn the electroweak sector of the Standard Model, CP violation arises through a very particular interplay between the three quark generations, as described by the Cabibbo--Kobayashi--Maskawa (CKM) mechanism and the single Jarlskog invariant $J_4$. Once generalized to the Standard Model Effective Field Theory (SMEFT), this peculiar pattern gets modified by higher-dimensional operators, whose associated Wilson coefficients are usually split into CP-even and odd parts. However, CP violation at dimension four, i.e., at the lowest order in the EFT expansion, blurs this distinction: any Wilson coefficient can interfere with $J_4$ and mediate CP violation. In this paper, we study such interferences at first order in the SMEFT expansion, $O(1/\Lambda^2)$, and we capture their associated parameter space via a set of 1551 linear CP-odd flavor invariants. This construction describes both new, genuinely CP-violating quantities as well as the interference between $J_4$ and CP-conserving ones. We call this latter possibility opportunistic CP violation. Relying on an appropriate extension of the matrix rank to Taylor expansions, which we dub Taylor rank, we define a procedure to organize the invariants in terms of their magnitude, so as to retain only the relevant ones at a given precision. We explore how this characterization changes when different assumptions are made on the flavor structure of the SMEFT coefficients. Interestingly, some of the CP-odd invariants turn out to be less suppressed than $J_4$, even when they capture opportunistic CPV, demonstrating that CP-violation in the SM, at dimension 4, is accidentally small.
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000570353 536__ $$0G:(GEPRIS)390833306$$aDFG project 390833306 - EXC 2121: Quantum Universe (390833306)$$c390833306$$x1
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000570353 650_7 $$2INSPIRE$$aCP, violation
000570353 650_7 $$2INSPIRE$$adimension, 4
000570353 650_7 $$2INSPIRE$$aoperator, higher-dimensional
000570353 650_7 $$2INSPIRE$$acapture
000570353 650_7 $$2INSPIRE$$ainterference
000570353 650_7 $$2INSPIRE$$aflavor
000570353 650_7 $$2INSPIRE$$aeffective field theory
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000570353 650_7 $$2INSPIRE$$astructure
000570353 650_7 $$2INSPIRE$$aelectroweak interaction
000570353 650_7 $$2INSPIRE$$aquark
000570353 650_7 $$2INSPIRE$$aJarlskog
000570353 650_7 $$2INSPIRE$$asuppression
000570353 650_7 $$2INSPIRE$$aTaylor expansion
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000570353 7001_ $$0P:(DE-H253)PIP1090958$$aGendy, Emanuele$$b1
000570353 7001_ $$0P:(DE-H253)PIP1023796$$aGrojean, Christophe$$b2$$eCorresponding author$$udesy
000570353 7001_ $$0P:(DE-HGF)0$$aRuderman, Joshua T.$$b3
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000570353 9141_ $$y2023
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