Search for two neutrino double electron capture of $^{124}$Xe and $^{126}$Xe in the full exposure of the LUX detector
LUX Collaboration: D. S. Akerib, S. Alsum, H. M. Ara\'ujo, X. Bai, J., Balajthy, A. Baxter, E. P. Bernard, A. Bernstein, T. P. Biesiadzinski, E. M., Boulton, B. Boxer, P. Br\'as, S. Burdin, D. Byram, M. C. Carmona-Benitez, C., Chan, J. E. Cutter, L. de Viveiros, E. Druszkiewicz

TL;DR
This study searched for two-neutrino double electron capture in xenon isotopes using the LUX detector's full exposure, setting new lower limits on decay half-lives due to no observed signal.
Contribution
First search for two-neutrino double electron capture in $^{124}$Xe and $^{126}$Xe using the full LUX exposure, establishing new half-life lower bounds.
Findings
No evidence of the decay was observed.
Set 90% C.L. lower limits of 2.0×10^{21} years for $^{124}$Xe.
Set 90% C.L. lower limits of 1.9×10^{21} years for $^{126}$Xe.
Abstract
Two-neutrino double electron capture is a process allowed in the Standard Model of Particle Physics. This rare decay has been observed in Kr, Ba and more recently in Xe. In this publication we report on the search for this process in Xe and Xe using the full exposure of the Large Underground Xenon (LUX) experiment, in a total of of 27769.5~kg-days. No evidence of a signal was observed, allowing us to set 90\% C.L. lower limits for the half-lives of these decays of ~years for Xe and ~years for Xe.
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