Journal Article

PUBDB-2023-06432

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Opportunistic CP violation

Bonnefoy, Q. (Corresponding author)DESY* ; Gendy, E. ; Grojean, C.DESY* ; Ruderman, J. T.

2023
SISSA [Trieste]

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Please use a persistent id in citations: doi:10.1007/JHEP06(2023)141  doi:10.3204/PUBDB-2023-06432

Report No.: DESY-23-018; HU-EP-22/39; TUM-HEP-1453/23; arXiv: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/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.

Keyword(s): CP: violation ; dimension: 4 ; operator: higher-dimensional ; capture ; interference ; flavor ; effective field theory ; mediation ; structure ; electroweak interaction ; quark ; Jarlskog ; suppression ; Taylor expansion ; CP Violation ; Flavour Symmetries ; SMEFT

Note: 34 p. + 29 p. of appendices, 6 figures. v2: Table 7 added, some extended discussions, matches JHEP version

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project 390833306 - EXC 2121: Quantum Universe (390833306) (390833306)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2023

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Database coverage:
; ; ; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; Ebsco Academic Search ; Essential Science Indicators ; IF >= 5 ; JCR ; National-Konsortium ; SCOAP3 sponsored Journal ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Bonnefoy, Q.DESY* ; Gendy, E.Extern* ; Grojean, C. (Corresponding author)DESY* ; Ruderman, J. T.
Opportunistic CP Violation
[10.3204/PUBDB-2023-00700]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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