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arXiv · 2206.00879

Lattice QCD calculation of light sterile neutrino contribution in $0\nu2β$ decay

Xin-Yu Tuo·Xu Feng·Lu-Chang Jin
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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 $g_{\text{LR}}^{ππ}(m_ν)$ with the neutrino mass $m_ν$ from $0$ GeV to $3$ GeV. The lattice results are reasonably consistent with the previous interpolation method with a $\sim20\%$ deviation at small $m_ν$. We provide an explanation on the discrepancy at vanishing neutrino mass. At large $m_ν$, a good consistence between our results and the previous lattice determination of $g_{4}^{ππ}(μ)$ is found at $μ=m_ν=3$ GeV.

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Xin-Yu Tuo, Xu Feng, Lu-Chang Jin. 2022-09-08. Lattice QCD calculation of light sterile neutrino contribution in $0\nu2β$ decay. https://doi.org/10.1103/physrevd.106.074510

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