Measurement of the <math display="inline"><mrow><mn>2</mn><mi>ν</mi><mi>β</mi><mi>β</mi></mrow></math> Decay Rate and Spectral Shape of <math display="inline"><mrow><mmultiscripts><mrow><mi>Mo</mi></mrow><mprescripts/><none/><mrow><mn>100</mn></mrow></mmultiscripts></mrow></math> from the CUPID-Mo Experiment

) is a yet unobserved nuclear process that would demonstrate Lepton number violation, a clear evidence of beyond standard model physics. The process two neutrino double beta decay (

2 ν β β

) is allowed by the standard model and has been measured in numerous experiments. In this Letter, we report a measurement of

2 ν β β

decay half-life of

{}^{100}{Mo}

to the ground state of

{}^{100}{Ru}

of

[7.07 \pm 0.02 (stat) \pm 0.11 (syst)] \times 10^{18} yr

by the CUPID-Mo experiment. With a relative precision of

\pm 1.6 %

this is the most precise measurement to date of a

2 ν β β

decay rate in

{}^{100}{Mo}

. In addition, we constrain higher-order corrections to the spectral shape, which provides complementary nuclear structure information. We report a novel measurement of the shape factor

ξ_{3, 1} = 0.45 \pm 0.03 (stat) \pm 0.05 (syst)

based on a constraint on the ratio of higher-order terms from theory, which can be reliably calculated. This is compared to theoretical predictions for different nuclear models. We also extract the first value for the effective axial vector coupling constant obtained from a spectral shape study of

2 ν β β

decay.

Note:

8 pages, 5 figures

lepton number: violation
double-beta decay: (0neutrino)
correction: higher-order
axial-vector
nuclear model
ground state
molybdenum
rubidium
numerical calculations
new physics

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Measurement of the 2νββ Decay Rate and Spectral Shape of Mo100 from the CUPID-Mo Experiment

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Measurement of the $2 ν β β$ Decay Rate and Spectral Shape of ${}^{100}{Mo}$ from the CUPID-Mo Experiment