Lattice QCD calculation of light sterile neutrino contribution in $0\nu 2\beta$ decay

Abstract

We present a lattice QCD study of the neutrinoless double beta decay involving light sterile neutrinos. The calculation is performed at physical pion mass using five gauge ensembles generated with the $2+1$-flavor domain wall fermions. We obtain the low-energy constants $g_{\text{LR}}^{\pi \pi }(m_{\nu })$ with the neutrino mass $m_{\nu }$ from $0$ GeV to $3$ GeV. The lattice results are reasonably consistent with the previous interpolation method with a $\sim 20\%$ deviation at small $m_{\nu }$. We provide an explanation on the discrepancy at vanishing neutrino mass. At large $m_{\nu }$, a good consistence between our results and the previous lattice determination of $g_4^{\pi \pi }(\mu )$ is found at $\mu =m_{\nu }=3$ GeV.

19 pages, 5 figures

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Cited by in corpus (8)

• Bounds on right-handed neutrino parameters from observable leptogenesis
• First-principle calculation of ${\eta }_c\to 2\gamma$ decay width from lattice QCD
• Light Sterile Neutrinos, Left-Right Symmetry, and $0\nu \beta \beta$ Decay
• Neutrinoless double beta decay rates in the presence of light sterile neutrinos
• Relativistic model-free prediction for neutrinoless double beta decay at leading order
• First lattice QCD calculation of $J/\psi$ semileptonic decay containing $D$ and $D_s$ particles
• Radiative corrections to leptonic decays using infinite-volume reconstruction
• The lepton-number-violating pion decay and the type-I seesaw mechanism in chiral perturbation theory