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Neutrinoless double-beta decay and effective field theory
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abstract
We analyze neutrinoless double $\beta$-decay ($\nbb$-decay) mediated by heavy particles from the standpoint of effective field theory. We show how symmetries of the $\nbb$-decay quark operators arising in a given particle physics model determine the form of the corresponding effective, hadronic operators. We classify the latter according to their symmetry transformation properties as well as the order at which they appear in a derivative expansion. We apply this framework to several particle physics models, including R-parity violating supersymmetry (RPV SUSY) and the left-right symmetric model (LRSM) with mixing and a right-handed Majorana neutrino. We show that, in general, the pion exchange contributions to $\nbb$-decay dominate over the short-range four-nucleon operators. This confirms previously published RPV SUSY results and allows us to derive new constraints on the masses in the LRSM. In particular, we show how a non-zero mixing angle $\zeta$ in the left-right symmetry model produces a new potentially dominant contribution to $\nbb$-decay that substantially modifies previous limits on the masses of the right-handed neutrino and boson stemming from constraints from $\nbb$-decay and vacuum stability requirements.
Forward citations
Cited by 5 Pith papers
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Complete UV Resonances of SMEFT Dim-9 Operators for Short-range Neutrinoless Double Beta Decay
Classification of 440 minimal UV completions for SMEFT dim-9 operators in short-range 0νββ decay, including 324 with vector mediators.
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Chiral Effective Field Theories for Strong and Weak Dynamics
The paper constructs complete and minimal relativistic operator bases for nucleon-nucleon, pion-nucleon-nucleon, and three-nucleon sectors up to p6, and a spurion-based leptonic sector up to p4, using Hilbert series a...
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Neutrinoless double beta decay with light sterile neutrinos: the contact terms
The short-range nuclear contact term in neutrinoless double beta decay depends on sterile neutrino mass more strongly than previously assumed, lengthening predicted half-lives by up to about a factor of six.
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Lattice Calculation of Short-Range Contributions to Neutrinoless Double-Beta Decay $\pi^-\to\pi^+ ee$ at Physical Pion Mass
Lattice QCD evaluation of π⁻→π⁺ee matrix elements at physical pion mass with a new around-the-world subtraction technique and RI/SMOM renormalization that reduces uncertainties and cross-checks prior results.
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Systematic Spurion Matching between Low Energy EFT and Chiral Lagrangian
A single SU(3)_V spurion can organize both LEFT and chiral Lagrangian operators up to dimension 9, enabling systematic operator-level matching between quark and hadron levels.
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