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

Abstract

We present the renormalisation group running of the bosonic operators of the Standard Model effective field theory by the Lepton Number Violating operators (LNVs) at 1-loop order up to $\mathcal{O}(v^4/{\Lambda }^4)$, with $v\sim 246$ GeV as the electroweak scale and $\Lambda$ as the SMEFT cut-off. Using these relations with the positivity bounds on Wilson coefficients of ${\varphi }^4{D}^4$ class, we derive sign-constraints on the Wilson coefficients of LNV operators for models where ${\varphi }^4{D}^4$ 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.

31 pages, 3 figures, 5 tables, version accepted in JHEP. Discussion on ADM zeroes elaborated

References in corpus (21)

• Causality, Analyticity and an IR Obstruction to UV Completion
• Extending the Standard Model Effective Field Theory with the Complete Set of Dimension-7 Operators
• Positive Moments for Scattering Amplitudes
• Renormalization group evolution of dimension-six baryon number violating operators
• Helicity Selection Rules and Non-Interference for BSM Amplitudes
• Probing New Physics in Dimension-8 Neutral Gauge Couplings at $e^{+}{e}^{-}$ Colliders
• EWPD in the SMEFT to dimension eight
• Towards the renormalisation of the Standard Model effective field theory to dimension eight: Bosonic interactions I
• Positivity bounds in the Standard Model effective field theory beyond tree level
• Renormalization of the Standard Model Effective Field Theory from Geometry
• Renormalization Group Evolution of Dimension-seven Operators in Standard Model Effective Field Theory and Relevant Phenomenology
• Positivity bounds on Minimal Flavor Violation
• A Step Toward Model Comparison: Connecting Electroweak-Scale Observables to BSM through EFT and Bayesian Statistics
• Signs, Spin, SMEFT: Sum Rules at Dimension Six
• What is Leading Order for LFV in SMEFT?
• Unambiguously Testing Positivity at Lepton Colliders
• Neutrino masses in the Standard Model effective field theory
• Classifying Standard Model Extensions Effectively with Precision Observables
• Neutrino seesaw models at one-loop matching: Discrimination by effective operators
• Landscaping CP-violating BSM scenarios
• Neutrino masses from SUSY breaking in radiative seesaw models

Cited by in corpus (6)

• Anomalous Dimension of a General Effective Gauge Theory I: Bosonic Sector
• Renormalization-group running of dimension-8 four-fermion operators in the SMEFT
• Positivity Bounds in Scalar Effective Field Theories at One-loop Level
• Renormalization-group equations of the LEFT at two loops: dimension-five effects
• Renormalising the Field-Space Geometry
• Positivity bounds in scalar-QED EFT at one-loop level