Systematic study of one-loop realizations of $d=7$ long-range $0\nu \beta \beta$ decay operators

Abstract

We study the systematical one-loop decomposition of the dimension-7 long-range $0\nu \beta \beta$ decay operators. We find that there are 3 genuine one-loop topologies and 8 diagrams. The procedure to determine the SM quantum number assignments for both internal and external fields is presented. The Majorana neutrino mass in long-range $0\nu \beta \beta$ models is discussed. We also present a one-loop $0\nu \beta \beta$ decay model which produces Majorana neutrino mass at three-loop level. The phenomenological predictions for light neutrino mass and $0\nu \beta \beta$ decay half-life time including both mass mechanism and long-range contribution are studied.

arXiv comment42 pages, 19 figures

References in corpus (37)

• The fate of hints: updated global analysis of three-flavor neutrino oscillations
• Non-Standard Neutrino Interactions with Matter from Physics Beyond the Standard Model
• Neutrinoless Double Beta Decay and Physics Beyond the Standard Model
• Extending the Standard Model Effective Field Theory with the Complete Set of Dimension-7 Operators
• Classification of Effective Neutrino Mass Operators
• Supersymmetry and Neutrinoless Double Beta Decay
• Systematic study of the d=5 Weinberg operator at one-loop order
• A new leading contribution to neutrinoless double-beta decay
• New vector-scalar contributions to neutrinoless double beta decay and constraints on R-parity violation
• 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
• Systematic classification of two-loop realizations of the Weinberg operator
• Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven
• An explicit construction of the dimension-9 operator basis in the standard model effective field theory
• New Leptoquark Mechanism of Neutrinoless Double Beta Decay
• Sterile neutrinos and neutrinoless double beta decay in effective field theory
• Double Beta Decay, Lepton Flavour Violation and Collider Signatures of Left-Right Symmetric Models with Spontaneous D Parity Breaking
• Neutrinoless Double Beta Decay and the Baryon Asymmetry of the Universe
• Systematic decomposition of the neutrinoless double beta decay operator
• GroupMath: A Mathematica package for group theory calculations
• Enumerating the operators of an effective field theory
• Evaluation of the general 3-loop vacuum Feynman integral
• Improved bounds on SUSY accompanied neutrinoless double beta decay
• The Sym2Int program: going from symmetries to interactions
• Systematic Analysis of Dirac Neutrino Masses at Dimension Five
• Systematic Study of One-Loop Dirac Neutrino Masses and Viable Dark Matter Candidates
• Unraveling the $0\nu \beta \beta$ Decay Mechanisms
• Minimal Realizations of Dirac Neutrino Mass from Generic One-loop and Two-loop Topologies at $d=5$
• Systematic classification of two loop d = 4 Dirac neutrino mass models and the Diracness-dark matter stability connection
• Left-right symmetry and leading contributions to neutrinoless double beta decay
• Neutrinoless Double Beta Decay with Negligible Neutrino Mass
• Three-loop vacuum integrals with arbitrary masses
• Lepton Number and Lepton Flavor Violation through Color Octet States
• Long-range contributions to double beta decay revisited
• Decomposition of $d=9$ short-range $0\nu \beta \beta$ decay operators at one-loop level
• Neutrinoless double beta decay in minimal left-right symmetric model with universal seesaw