Position Reconstruction in LUX

• Main Authors: LUX Collaboration, Akerib, D. S, Alsum, S, Araújo, H. M, Bai, X, Bailey, A. J, Balajthy, J, Beltrame, P, Bernard, E. P, Bernstein, A, Biesiadzinski, T. P, Boulton, E. M, Brás, P, Byram, D, Cahn, S. B, Carmona-Benitez, M. C, Chan, C, Currie, A, Cutter, J. E, Davison, T. J. R, Dobi, A, Druszkiewicz, E, Edwards, B. N, Fallon, S. R, Fan, A, Fiorucci, S, Gaitskell, R. J, Genovesi, J, Ghag, C, Gilchriese, M. G. D, Hall, C. R, Hanhardt, M, Haselschwardt, S. J, Hertel, S. A, Hogan, D. P, Horn, M, Huang, D. Q, Ignarra, C. M, Jacobsen, R. G, Ji, W, Kamdin, K, Kazkaz, K, Khaitan, D, Knoche, R, Larsen, N. A, Lenardo, B. G, Lesko, K. T, Lindote, A, Lopes, M. I, Manalaysay, A, Mannino, R. L, Marzioni, M. F, McKinsey, D. N, Mei, D. M, Mock, J, Moongweluwan, M, Morad, J. A, Murphy, A. St. J, Nehrkorn, C, Nelson, H. N, Neves, F, O'Sullivan, K, Oliver-Mallory, K. C, Palladino, K. J, Pease, E. K, Rhyne, C, Shaw, S, Shutt, T. A, Silva, C, Solmaz, M, Solovov, V. N, Sorensen, P, Sumner, T. J, Szydagis, M, Taylor, D. J, Taylor, W. C, Tennyson, B. P, Terman, P. A, Tiedt, D. R, To, W. H, Tripathi, M, Tvrznikova, L, Uvarov, S, Velan, V, Verbus, J. R, Webb, R. C, White, J. T, Whitis, T. J, Witherell, M. S, Wolfs, F. L. H, Xu, J, Yazdani, K, Young, S. K, Zhang, C
• Format: Journal Article
• Language: English
• Published: 12-03-2018
• Subjects: Physics - Computational Physics; Physics - High Energy Physics - Experiment; Physics - Instrumentation and Detectors
• DOI: 10.48550/arxiv.1710.02752

Journal of Instrumentation, Volume 13, February 2018, P02001 The $(x, y)$ position reconstruction method used in the analysis of the
complete exposure of the Large Underground Xenon (LUX) experiment is presented.
The algorithm is based on a statistical test that makes use of an iterative
method to recover the photomultiplier tube (PMT) light response directly from
the calibration data. The light response functions make use of a two
dimensional functional form to account for the photons reflected on the inner
walls of the detector. To increase the resolution for small pulses, a photon
counting technique was employed to describe the response of the PMTs. The
reconstruction was assessed with calibration data including
^{\mathrm{83m}}$Kr (releasing a total energy of 41.5 keV) and ^{3}$H
($\beta^-$ with Q = 18.6 keV) decays, and a deuterium-deuterium (D-D) neutron
beam (2.45 MeV). In the horizontal plane, the reconstruction has achieved an
$(x, y)$ position uncertainty of $\sigma$= 0.82 cm for events of only 200
electroluminescence photons and $\sigma$ = 0.17 cm for 4,000
electroluminescence photons. Such signals are associated with electron recoils
of energies $\sim$0.25 keV and $\sim$10 keV, respectively. The reconstructed
position of the smallest events with a single electron emitted from the liquid
surface has a horizontal $(x, y)$ uncertainty of 2.13 cm.