Renormalisation of SMEFT bosonic interactions up to dimension eight by LNV operators

Supratim Bakshi (CAFPE and Departamento de Física Teórica y del Cosmos, Universidad de Granada, Campus de Fuentenueva, Granada, E-18071, Spain) ; Álvaro Díaz-Carmona (CAFPE and Departamento de Física Teórica y del Cosmos, Universidad de Granada, Campus de Fuentenueva, Granada, E-18071, Spain)

We present the renormalisation group running of the bosonic operators of the Standard Model effective field theory (SMEFT) by the Lepton Number Violating operators (LNVs) at 1-loop order up to O $$ \mathcal{O} $$ (v 4 /Λ4), with v ∼ 246 GeV as the electroweak scale and Λ as the SMEFT cut-off. Using these relations with the positivity bounds on Wilson coefficients of ϕ 4 D 4 class, we derive sign constraints on the Wilson coefficients of LNV operators, for models where ϕ 4 D 4 operators do not appear at tree-level. We inspect these constraints for the LNV Wilson coefficients generated from matching the Type-I and III seesaw models to SMEFT up to dimension seven at tree-level. We also exhibit the unique bounds induced by the T-parameter on LNVs.

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      "surname": "D\u00edaz-Carmona", 
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  "abstracts": [
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      "source": "Springer", 
      "value": "We present the renormalisation group running of the bosonic operators of the Standard Model effective field theory (SMEFT) by the Lepton Number Violating operators (LNVs) at 1-loop order up to   <math> <mi>O</mi> </math>  $$ \\mathcal{O} $$ (v 4 /\u039b4), with v \u223c 246 GeV as the electroweak scale and \u039b as the SMEFT cut-off. Using these relations with the positivity bounds on Wilson coefficients of \u03d5 4 D 4 class, we derive sign constraints on the Wilson coefficients of LNV operators, for models where \u03d5 4 D 4 operators do not appear at tree-level. We inspect these constraints for the LNV Wilson coefficients generated from matching the Type-I and III seesaw models to SMEFT up to dimension seven at tree-level. We also exhibit the unique bounds induced by the T-parameter on LNVs."
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Published on:
21 June 2023
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2023 (2023)
Issue 6
Pages 1-27
DOI:
https://doi.org/10.1007/JHEP06(2023)123
arXiv:
2301.07151
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: