Large-$N_c$ analysis of two-nucleon neutrinoless double beta decay and charge-independence-breaking contact terms

Abstract

The interpretation of experiments that search for neutrinoless double beta decay relies on input from nuclear theory. Cirigliano et al. recently showed that, for the light Majorana exchange formalism, effective field theory calculations require a $nn\to pp{e}^{-}{e}^{-}$ contact term at leading order. They estimated the size of this contribution by relating it to measured charge-independence-breaking (CIB) nucleon-nucleon interactions and making an assumption about the relative sizes of CIB operators. We show that the assumptions underlying this approximation are justified in the limit of the number of colors $N_c$ being large. We also obtain a large-$N_c$ hierarchy among CIB nucleon-nucleon interactions that is in agreement with phenomenological results.

arXiv comment16 pages, 1 figure, version accepted for publication in Physical Review C

References in corpus (83)

• An accurate nucleon-nucleon potential with charge-independence breaking
• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Chiral effective field theory and nuclear forces
• Leptogenesis
• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Search for Majorana neutrinos with the first two years of EXO-200 data
• The 1/N Expansion for Baryons
• Chiral Perturbation Theory and Baryon Properties
• Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order
• Large N_c in chiral perturbation theory
• Chiral Three-Nucleon Interactions in Light Nuclei, Neutron-$\alpha$ Scattering, and Neutron Matter
• Baryon-Pion Couplings from Large-N QCD
• Spin-Flavor Structure of Large N Baryons
• Virtual Photons in Chiral Perturbation Theory
• Neutrinoless double beta decay and neutrino mass
• Search for Neutrinoless Double-Beta Decay of ${}^{130}$Te with CUORE-0
• 1/N Corrections to the Baryon Axial Currents in QCD
• A new leading contribution to neutrinoless double-beta decay
• Local chiral potentials and the structure of light nuclei
• A neutrinoless double beta decay master formula from effective field theory
• Neutrinoless double-beta decay and effective field theory
• Chiral Perturbation Theory Beyond One Loop
• Charge Symmetry Breaking and QCD
• The Spin-Flavor Dependence of Nuclear Forces from Large-N QCD
• Chiral perturbation theory
• Virtual Photons in Low Energy pi-pi Scattering
• Neutrinoless Double Beta Decay
• The Nucleon-Nucleon Potential in the 1/N_c Expansion
• Virtual photons in SU(2) chiral perturbation theory and electromagnetic corrections to $\pi \pi$ scattering
• A renormalized approach to neutrinoless double-beta decay
• Bounds on the light quark masses
• Auxiliary field diffusion Monte Carlo calculations of light and medium-mass nuclei with local chiral interactions
• Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven
• Chiral Perturbation Theory with Virtual Photons and Leptons
• Baryon-Baryon Interactions and Spin-Flavor Symmetry from Lattice Quantum Chromodynamics
• Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions
• Light Quark Spin-Flavor Symmetry for Baryons Containing a Heavy Quark in Large N QCD
• Isospin violation in pion-nucleon scattering
• Isospin Violation in Chiral Perturbation Theory and the Decays $η\ra π\ell ν$ and $τ\ra ηπν$
• Large-N_c Baryons
• The Electromagnetic Interaction in Chiral Perturbation Theory
• Towards complete leading-order predictions for neutrinoless double $\beta$ decay
• Chiral Lagrangian for Baryons in the $1/N_c$ Expansion
• Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
• Neutrinoless double beta decay in effective field theory: the light Majorana neutrino exchange mechanism
• Virtual photons in baryon chiral perturbation theory
• Double-$\beta$ Decay Matrix Elements from Lattice Quantum Chromodynamics
• The role of the Delta isobar in chiral perturbation theory and hedgehog soliton models
• Charge-dependent nucleon-nucleon potential from chiral effective field theory
• Neutrinoless double beta decay and chiral $SU(3)$
• The parity-violating nucleon-nucleon force in the 1/N_c expansion
• The Delta-Delta Intermediate State in 1S0 Nucleon-Nucleon Scattering From Effective Field Theory
• The Nucleon-Nucleon Interaction and Large N_c QCD
• Low-energy Scattering and Effective Interactions of Two Baryons at $m_{\pi }\sim 450$ MeV from Lattice Quantum Chromodynamics
• On the structure of large N cancellations in baryon chiral perturbation theory
• The path from lattice QCD to the short-distance contribution to $0\nu \beta \beta$ decay with a light Majorana neutrino
• Large-N(c) limit reduces the number of independent few-body parity-violating low-energy constants in pionless effective field theory
• Charge independence breaking and charge symmetry breaking in the nucleon-nucleon interaction from effective field theory
• The COBRA demonstrator at the LNGS underground laboratory
• Baryon Masses and Axial Couplings in the Combined 1/Nc and Chiral Expansions
• The theta^+ baryon in soliton models: large Nc QCD and the validity of rigid-rotor quantization
• Serber symmetry, Large Nc and Yukawa-like One Boson Exchange Potentials
• Baryon Isovector Electric Properties and the Large N_c and Chiral Limits
• Three-nucleon forces in the 1/Nc expansion
• Lattice QCD Inputs for Nuclear Double Beta Decay
• Two-neutrino double-beta decay in pionless effective field theory from a Euclidean finite-volume correlation function
• Implications of Anomaly Constraints in the $N_c$-Extended Standard Model
• Time-reversal-invariance-violating nucleon-nucleon potential in the 1/N_c expansion
• Sensitivity of a tonne-scale NEXT detector for neutrinoless double beta decay searches
• Dynamical Interpretation of the Nucleon-Nucleon Interaction and Exchange Currents in the Large $N_C$ Limit
• Self Consistent $1/N_c$ Expansion In The Presence Of Electroweak Interactions
• Baryon masses at second order in large-$N$ chiral perturbation theory
• The baryon vector current in the combined chiral and 1/Nc expansions
• The Dichotomous Nucleon: Some Radical Conjectures for the Large Nc Limit
• Large-$N_c$ Relationships Among Two-Derivative Pionless Effective Field Theory Couplings
• Neutrinoless Double Beta Decay from Lattice QCD: The Long-Distance ${\pi }^{-}\to {\pi }^{+}{e}^{-}{e}^{-}$ Amplitude
• Large-$N_c$ analysis of magnetic and axial two-nucleon currents in pionless effective field theory
• Charge Independence and Symmetry of Nuclear Forces
• The Phase Diagram of QCD and Some Issues of Large Nc
• Time-Reversal-Invariance Violation in the $Nd$ System and Large-$N_C$
• Radiation Background Studies for 0$\nu \beta \beta$ decay in ${}^{124}$Sn

Cited by in corpus (16)

• Toward the discovery of matter creation with neutrinoless double-beta decay
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Towards Precise and Accurate Calculations of Neutrinoless Double-Beta Decay: Project Scoping Workshop Report
• Neutrinoless $\beta \beta$-decay nuclear matrix elements from two-neutrino $\beta \beta$-decay data
• Neutrinoless double-beta decay: combining quantum Monte Carlo and the nuclear shell model with the generalized contact formalism
• Ab-initio electroweak corrections to superallowed $\beta$ decays and their impact on $V_{ud}$
• Nuclear Effective Field Theories: Reverberations of the early days
• Light Sterile Neutrinos, Left-Right Symmetry, and $0\nu \beta \beta$ Decay
• Correlations Between Neutrinoless Double-Beta, Double Gamow-Teller and Double-Magnetic Decays in the pnQRPA Framework
• Neutrinoless double beta decay rates in the presence of light sterile neutrinos
• Recent progress in the electroweak structure of light nuclei using quantum Monte Carlo methods
• Light sterile neutrinos and lepton-number-violating kaon decays in effective field theory
• Impact of nuclear matrix element calculations for current and future neutrinoless double beta decay searches
• Large-$N_c$ constraints for elastic dark matter-light nucleus scattering in pionless effective field theory
• Building models of quarks and gluons with an arbitrary number of colors using Cartan-Polyakov loops
• Impact of dim-6 $\nu$SMEFT operators on low-scale leptogenesis