Progress Toward A $2νββ$ Measurement For The Majorana Demonstrator

Author(s): Gilliss, T; Abgrall, N; Alvis, SI; Arnquist, IJ; III, FTA; Barabash, AS; Barton, CJ; Bertrand, FE; Bode, T; Bradley, AW; Brudanin, V; Busch, M; Buuck, M; Caldwell, TS; Chan, Y-D; Christofferson, CD; Chu, P-H; Cuesta, C; Detwiler, JA; Dunagan, C; Efremenko, Y; Ejiri, H; Elliott, SR; Giovanetti, GK; Green, MP; Gruszko, J; Guinn, IS; Guiseppe, VE; Haufe, CR; Hehn, L; Henning, R; Hoppe, EW; Howe, MA; Keeter, KJ; Kidd, MF; Konovalov, SI; Kouzes, RT; Lopez, AM; Martin, RD; Massarczyk, R; Meijer, SJ; Mertens, S; Myslik, J; O'Shaughnessy, C; Othman, G; Pettus, W; Poon, AWP; Radford, DC; Rager, J; Reine, AL; Rielage, K; Robertson, RGH; Ruof, NW; Shanks, B; Shirchenko, M; Suriano, AM; Tedeschi, D; Trimble, JE; Varner, RL; Vasilyev, S; Vetter, K; Vorren, K; White, BR; Wilkerson, JF; Wiseman, C; Xu, W; Yakushev, E; Yu, C-H; Yumatov, V; Zhitnikov, I; Zhu, BX | Abstract: The MAJORANA DEMONSTRATOR is a $^{76}$Ge-based neutrinoless double-beta decay ($0\nu\beta\beta$) experiment. Staged at the 4850 ft level of the Sanford Underground Research Facility, the DEMONSTRATOR operates an array of high-purity p-type point contact Ge detectors deployed within a graded passive shield and an active muon veto system. The present work concerns the two-neutrino double-beta decay mode ($2\nu\beta\beta$) of $^{76}$Ge. For Ge detectors, having superior energy resolution (0.1%), this mode poses negligible background to the $0\nu\beta\beta$ mode, even for a ton-scale experiment. However, the measurement of the $2\nu\beta\beta$ mode allows for careful systematics checks of active detector mass, enrichment fraction, and pulse shape discrimination cuts related to both the $0\nu\beta\beta$ and $2\nu\beta\beta$ decay modes. A precision measurement of the $2\nu\beta\beta$ shape also allows searches for spectral distortions, possibly indicative of new physics, including $0\nu\beta\beta\chi$. Work is underway to construct a full experimental background model enabling a Bayesian fit to the measured energy spectrum and extraction of a precise $2\nu\beta\beta$ spectrum and half-life.