Decomposition of $d=9$ short-range $0\nu \beta \beta$ decay operators at one-loop level

Abstract

We perform a systematical study of the dimension-9 short-range $0\nu \beta \beta$ decay operators at one-loop level. There are only six genuine topologies which generate eight diagrams, and the recipe to identify the possible one-loop realizations of the $0\nu \beta \beta$ decay operators is sketched. Certain hypercharge assignments are excluded by the absence of tree-level diagrams in a genuine one-loop model. The mediators of each decomposition can generate Majorana neutrino masses which are discussed up to two-loop level. We present an example of $0\nu \beta \beta$ decay model in which the neutrino masses are generated at two-loop level, and the short-range contribution can be comparable with the mass mechanism in some region of parameter space.

arXiv comment41 pages, 17 figures

References in corpus (41)

• The fate of hints: updated global analysis of three-flavor neutrino oscillations
• Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen
• Neutrinoless Double-Beta Decay: Status and Prospects
• Neutrino-less Double Beta Decay and Particle Physics
• Double Beta Decay
• Neutrinoless double beta decay: 2015 review
• Final Results of GERDA on the Search for Neutrinoless Double-$\beta$ Decay
• Radiatively Induced Neutrino Masses and Large Higgs-Neutrino Couplings in the Standard Model with Majorana Fields
• Non-Standard Neutrino Interactions with Matter from Physics Beyond the Standard Model
• Neutrinoless Double Beta Decay and Physics Beyond the Standard Model
• Minimal Radiative Neutrino Mass Mechanism for Inverse Seesaw Models
• Systematic study of the d=5 Weinberg operator at one-loop order
• Predictive Model for Radiatively Induced Neutrino Masses and Mixings with Dark Matter
• A neutrinoless double beta decay master formula from effective field theory
• Large gauge invariant non-standard neutrino interactions
• A superformula for neutrinoless double beta decay II: The short range part
• Towards a superformula for neutrinoless double beta decay
• On the Quantitative Impact of the Schechter-Valle Theorem
• Systematic classification of two-loop realizations of the Weinberg operator
• Analysis of Light Neutrino Exchange and Short-Range Mechanisms in $0\nu \beta \beta$ Decay
• Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven
• Complete Set of Dimension-9 Operators in the Standard Model Effective Field Theory
• An explicit construction of the dimension-9 operator basis in the standard model effective field theory
• Systematic decomposition of the neutrinoless double beta decay operator
• GroupMath: A Mathematica package for group theory calculations
• LEGEND-1000 Preconceptual Design Report
• An electroweak basis for neutrinoless double $\beta$ decay
• Testable two-loop radiative neutrino mass model based on an $LLQ{d}^{c}Q{d}^c$ effective operator
• Systematic Analysis of Dirac Neutrino Masses at Dimension Five
• Systematic Study of One-Loop Dirac Neutrino Masses and Viable Dark Matter Candidates
• Radiative neutrino mass generation linked to neutrino mixing and $0\nu \beta \beta$-decay predictions
• Minimal Realizations of Dirac Neutrino Mass from Generic One-loop and Two-loop Topologies at $d=5$
• Double beta decay and neutrino mass models
• Systematic classification of two loop d = 4 Dirac neutrino mass models and the Diracness-dark matter stability connection
• Evaluating The Two Loop Diagram Responsible For Neutrino Mass In Babu's Model
• Three-loop vacuum integrals with arbitrary masses
• Extending two Higgs doublet models for two-loop neutrino mass generation and one-loop neutrinoless double beta decay
• Long-range contributions to double beta decay revisited
• A model of neutrino mass and dark matter with large neutrinoless double beta decay
• Decomposition of $d=9$ short-range $0\nu \beta \beta$ decay operators at one-loop level
• Loop-enhanced rate of neutrinoless double beta decay

Cited by in corpus (5)

• Uncovering a chirally suppressed mechanism of $0\nu \beta \beta$ decay with LHC searches
• Decomposition of $d=9$ short-range $0\nu \beta \beta$ decay operators at one-loop level
• Neutrinoless double beta decay and the muonium-to-antimuonium transition in models with a doubly charged scalar
• The Decomposition of Neutron-Antineutron Oscillation Operators
• Systematic study of one-loop realizations of $d=7$ long-range $0\nu \beta \beta$ decay operators