Sterile neutrinos and neutrinoless double beta decay in effective field theory

Abstract

We investigate neutrinoless double beta decay ($0\nu \beta \beta$) in the presence of sterile neutrinos with Majorana mass terms. These gauge-singlet fields are allowed to interact with Standard-Model (SM) fields via renormalizable Yukawa couplings as well as higher-dimensional gauge-invariant operators up to dimension seven in the Standard Model Effective Field Theory extended with sterile neutrinos. At the GeV scale, we use Chiral effective field theory involving sterile neutrinos to connect the operators at the level of quarks and gluons to hadronic interactions involving pions and nucleons. This allows us to derive an expression for $0\nu \beta \beta$ rates for various isotopes in terms of phase-space factors, hadronic low-energy constants, nuclear matrix elements, the neutrino masses, and the Wilson coefficients of higher-dimensional operators. The needed hadronic low-energy constants and nuclear matrix elements depend on the neutrino masses, for which we obtain interpolation formulae grounded in QCD and chiral perturbation theory that improve existing formulae that are only valid in a small regime of neutrino masses. The resulting framework can be used directly to assess the impact of $0\nu \beta \beta$ experiments on scenarios with light sterile neutrinos and should prove useful in global analyses of sterile-neutrino searches. We perform several phenomenological studies of $0\nu \beta \beta$ in the presence of sterile neutrinos with and without higher-dimensional operators. We find that non-standard interactions involving sterile neutrinos have a dramatic impact on $0\nu \beta \beta$ phenomenology, and next-generation experiments can probe such interactions up to scales of $\mathcal{O}(100)$ TeV.

arXiv comment83 pages, 13 figures. Matches version accepted for publication in JHEP

References in corpus (63)

• Dimension-Six Terms in the Standard Model Lagrangian
• Chiral Dynamics in Nucleons and Nuclei
• The $\nu$MSM, Dark Matter and Baryon Asymmetry of the Universe
• Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen
• New Developments in FeynCalc 9.0
• The $\nu$MSM, Dark Matter and Neutrino Masses
• Renormalization Group Evolution of the Standard Model Dimension Six Operators III: Gauge Coupling Dependence and Phenomenology
• FLAG Review 2019
• Renormalization Group Evolution of the Standard Model Dimension Six Operators II: Yukawa Dependence
• Renormalization Group Evolution of the Standard Model Dimension Six Operators I: Formalism and lambda Dependence
• Physics of leptoquarks in precision experiments and at particle colliders
• Baryogenesis via neutrino oscillations
• Sterile Neutrino Hot, Warm, and Cold Dark Matter
• Search for Majorana neutrinos with the first two years of EXO-200 data
• Disassembling the Nuclear Matrix Elements of the Neutrinoless double beta Decay
• Sterile Neutrino Dark Matter
• Sterile neutrinos: the dark side of the light fermions
• Updated global analysis of neutrino oscillations in the presence of eV-scale sterile neutrinos
• Two-Loop QCD Anomalous Dimensions of Flavour-Changing Four-Quark Operators Within and Beyond the Standard Model
• A possible symmetry of the $\nu$MSM
• Sterile Neutrinos as the Origin of Dark and Baryonic Matter
• Master Formulae for Delta F=2 NLO-QCD Factors in the Standard Model and Beyond
• Classification of Effective Neutrino Mass Operators
• Neutrinoless Double Beta Decay and Heavy Sterile Neutrinos
• Light Sterile Neutrinos: Models and Phenomenology
• Beta Decays and Non-Standard Interactions in the LHC Era
• Heavy Majorana Neutrinos in the Effective Lagrangian Description: Application to Hadron Colliders
• Neutrinoless double beta decay in seesaw models
• Neutrinoless double beta decay versus other probes of heavy sterile neutrinos
• A new leading contribution to neutrinoless double-beta decay
• Status of Light Sterile Neutrino Searches
• A neutrinoless double beta decay master formula from effective field theory
• eV-scale Sterile Neutrinos
• Neutrinoless double-beta decay and effective field theory
• Non-standard Charged Current Interactions: beta decays versus the LHC
• A superformula for neutrinoless double beta decay II: The short range part
• Non-Standard Interactions in Radiative Neutrino Mass Models
• Towards a superformula for neutrinoless double beta decay
• First Results from the AMoRE-Pilot neutrinoless double beta decay experiment
• A Calorimetric Search on Double Beta Decay of 130Te
• Testable Baryogenesis in Seesaw Models
• Baryon Number, Lepton Number, and Operator Dimension in the Standard Model
• Heavy neutral fermions at the high-luminosity LHC
• Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven
• The seesaw portal in testable models of neutrino masses
• The minimal 3+2 neutrino model versus oscillation anomalies
• Mixing of Active and Sterile Neutrinos
• Isospin breaking in the nucleon mass and the sensitivity of beta decays to new physics
• Heavy physics contributions to neutrinoless double beta decay from QCD
• The electroweak pi^+ - pi^0 mass difference and weak matrix elements in the 1/Nc expansion
• Neutrinoless double beta decay in effective field theory: the light Majorana neutrino exchange mechanism
• Investigation of double beta decay with the NEMO-3 detector
• Grand Unification and the Principle of Minimal Flavor Violation
• GeV-scale hot sterile neutrino oscillations: a derivation of evolution equations
• The Role of Lattice QCD in Searches for Violations of Fundamental Symmetries and Signals for New Physics
• One-loop matching in the SMEFT extended with a sterile neutrino
• An electroweak basis for neutrinoless double $\beta$ decay
• Predictions for Neutrinoless Double-Beta Decay in the 3+1 Sterile Neutrino Scenario
• Probes of the Standard Model effective field theory extended with a right-handed neutrino
• On neutrinoless double beta decay in the $\nu$MSM
• Neutrino masses and mixing angles from leptoquark interactions
• Direct Search for Right-handed Neutrinos and Neutrinoless Double Beta Decay
• Initial Results from the MAJORANA DEMONSTRATOR

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• Toward the discovery of matter creation with neutrinoless double-beta decay
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• Charged Lepton Flavor Violation at the EIC
• Operator Bases in Effective Field Theories with Sterile Neutrinos: $d\le 9$
• Mapping the viable parameter space for testable leptogenesis
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• Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism
• Effective portals to heavy neutral leptons
• General neutrino interactions with sterile neutrinos in light of coherent neutrino-nucleus scattering and meson invisible decays
• Heavy neutral leptons in effective field theory and the high-luminosity LHC
• One-loop running of dimension-six Higgs-neutrino operators and implications of a large neutrino dipole moment
• Unraveling the $0\nu \beta \beta$ Decay Mechanisms
• Two-Neutrino Double Beta Decay with Sterile Neutrinos
• Long-lived Sterile Neutrinos at Belle II in Effective Field Theory
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• Long-lived heavy neutral leptons at the LHC: four-fermion single-$N_R$ operators
• Bounds on right-handed neutrino parameters from observable leptogenesis
• Constraints on the charged currents in general neutrino interactions with sterile neutrinos
• Leptonic anomalous magnetic moments in $\nu$SMEFT
• Long-lived heavy neutral leptons from mesons in effective field theory
• Kiloton-scale xenon detectors for neutrinoless double beta decay and other new physics searches
• Finite-volume formalism in the $2\stackrel{H_I+H_I}{\to }2$ transition: an application to the lattice QCD calculation of double beta decays
• Ab initio calculation of the $\beta$ decay spectrum of ${}^6$He
• Long-lived neutral fermions at the DUNE near detector
• On-shell representations of two-body transition amplitudes: single external current
• $\nu$DoBe -- A Python Tool for Neutrinoless Double Beta Decay
• Light Sterile Neutrinos, Left-Right Symmetry, and $0\nu \beta \beta$ Decay
• Sterile neutrinos with non-standard interactions in $\beta$- and $0\nu \beta \beta$-decay experiments
• Neutrinoless double beta decay rates in the presence of light sterile neutrinos
• Displaced Neutrino Jets at the LHeC
• Lattice QCD calculation of light sterile neutrino contribution in $0\nu 2\beta$ decay
• The Geometric $\nu$SMEFT: Operators and Connections
• Neutrinoless Double Beta Decay via Light Neutralinos in R-Parity Violating Supersymmetry
• Angular and polarization observables for Majorana-mediated B decays with effective interactions
• Light sterile neutrinos and lepton-number-violating kaon decays in effective field theory
• $C$ and $CP$ violation in effective field theories
• Probing light sterile neutrinos in left-right symmetric models with displaced vertices and neutrinoless double beta decay
• Flavoured Neutrinoless Double Beta Decay
• Unravelling the left-right mixing using $0\nu \beta \beta$ decay and collider probes
• Nuclear matrix elements of neutrinoless double-beta decay in covariant density functional theory with different mechanisms
• Zooming in on eV-MeV Scale Sterile Neutrinos in light of Neutrinoless Double Beta Decay
• Lepton number violating operators with standard model gauge fields: A survey of neutrino masses from 3-loops and their link to dark matter
• Sensitivity prospects for lepton-trijet signals in the $\nu$SMEFT at the LHeC
• Correlating $0\nu \beta \beta$ decays and flavor observables in leptoquark models
• Constraining the SMEFT Extended with Sterile Neutrinos at FCC-ee
• Neutrinoless double-beta decay in a finite volume from relativistic effective field theory
• Neutrinoless double beta decays tell nature of right-handed neutrinos
• Scalarful double beta decay
• Study of neutrinoless double beta decay in the Standard Model extended with sterile neutrinos
• Future collider sensitivities to $\nu$SMEFT interactions
• Systematic study of one-loop realizations of $d=7$ long-range $0\nu \beta \beta$ decay operators
• Ab initio short-range nuclear matrix elements for neutrinoless double-beta decay
• Impact of dim-6 $\nu$SMEFT operators on low-scale leptogenesis
• The lepton-number-violating pion decay and the type-I seesaw mechanism in chiral perturbation theory