Journal Article

PUBDB-2024-07986

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png The flavor invariants of the νSM

Grojean, C.DESY* ; Kley, J.Extern*DESY* ; Leflot, D. ; Yao, C. Y. (Corresponding author)DESY*

2024
SISSA [Trieste]

This record in other databases:      

Please use a persistent id in citations: doi:10.1007/JHEP12(2024)069  doi:10.3204/PUBDB-2024-07986

Report No.: CERN-TH-2024-076; DESY-24-021; HU-EP-24/14; arXiv:2406.00094

Abstract: Sixty years after the experimental discovery of CP violation in the quark sector, the existence of a similar CP violation in the lepton sector is still to be established. Actually, the structure of such a violation depends crucially on the origin of the neutrino masses. In an attempt at categorizing the leptonic sources of CP violation, we studied the νSM, the Standard Model extended with three generations of sterile neutrinos, that can interpolate continuously between the Dirac and Majorana scenarios of neutrino masses. In particular, we perform a classification of the Jarlskog-like flavor invariants entering CP-violating observables and we study their suppression with the heavy Majorana mass in the seesaw limit of the model. To simplify the construction of the invariants, we introduce a graph-based method. With the guidance of the Hilbert series and plethystic logarithm of the theory, we construct the generating and primary sets of invariants for the νSM for the first time. Unlike in the Standard Model and some other theories, we find that the numbers of generating invariants and the syzygies among them cannot immediately be read off from the plethystic logarithm, but require a more careful examination. Our analysis reveals that the generating set contains 459 invariants, out of which 208 are CP-even and 251 are CP-odd. In the seesaw limit of the νSM, we show that all parameters of the UV theory can be captured in the effective theory with a certain suppression with the heavy Majorana mass, while these parameters can only appear in a flavor-invariant way with a higher mass suppression. Furthermore, we discuss how the necessary and sufficient conditions for CP violation can be captured by utilizing these invariants. Along the way, we present useful algorithms to enumerate and build the flavor invariants.

Keyword(s): CP Violation ; Flavour Symmetries ; New Light Particles ; Sterile or Heavy Neutrinos

Note: 27 pages + appendices, 3 figures

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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 G:(GEPRIS)390833306 - EXC 2121: Quantum Universe (390833306) (390833306)
3. ASYMMETRY - Essential Asymmetries of Nature (101086085) (101086085)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2024

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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 Grojean, C.DESY* ; Kley, J.Extern*DESY* ; Leflot, D.Extern* ; Yao, C.-Y. (Corresponding author)DESY*
The flavor invariants of the $\nu$SM
[10.3204/PUBDB-2024-00468]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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