Position Reconstruction in LUX
Creators: name: LUX Collaboration
name: Akerib, D. S.
name: Alsum, S.
name: Araújo, H. M.
name: Bai, X.
name: Bailey, A. J.
name: Balajthy, J.
name: Beltrame, P.
name: Bernard, E. P.
name: Bernstein, A.
name: Biesiadzinski, T. P.
name: Boulton, E. M.
name: Brás, P.
name: Byram, D.
name: Cahn, S. B.
name: Carmona-Benitez, M. C.
name: Chan, C.
name: Currie, A.
name: Cutter, J. E.
name: Davison, T. J. R.
name: Dobi, A.
name: Druszkiewicz, E.
name: Edwards, B. N.
name: Fallon, S. R.
name: Fan, A.
name: Fiorucci, S.
name: Gaitskell, R. J.
name: Genovesi, J.
name: Ghag, C.
name: Gilchriese, M. G. D.
name: Hall, C. R.
name: Hanhardt, M.
name: Haselschwardt, S. J.
name: Hertel, S. A.
name: Hogan, D. P.
name: Horn, M.
name: Huang, D. Q.
name: Ignarra, C. M.
name: Jacobsen, R. G.
name: Ji, W.
name: Kamdin, K.
name: Kazkaz, K.
name: Khaitan, D.
name: Knoche, R.
name: Larsen, N. A.
name: Lenardo, B. G.
name: Lesko, K. T.
name: Lindote, A.
name: Lopes, M. I.
name: Manalaysay, A.
name: Mannino, R. L.
name: Marzioni, M. F.
name: McKinsey, D. N.
name: Mei, D. M.
name: Mock, J.
name: Moongweluwan, M.
name: Morad, J. A.
name: Murphy, A. St. J.
name: Nehrkorn, C.
name: Nelson, H. N.
name: Neves, F.
name: O'Sullivan, K.
name: Oliver-Mallory, K. C.
name: Palladino, K. J.
name: Pease, E. K.
name: Rhyne, C.
name: Shaw, S.
name: Shutt, T. A.
name: Silva, C.
name: Solmaz, M.
name: Solovov, V. N.
name: Sorensen, P.
name: Sumner, T. J.
name: Szydagis, M.
name: Taylor, D. J.
name: Taylor, W. C.
name: Tennyson, B. P.
name: Terman, P. A.
name: Tiedt, D. R.
name: To, W. H.
name: Tripathi, M.
name: Tvrznikova, L.
name: Uvarov, S.
name: Velan, V.
name: Verbus, J. R.
name: Webb, R. C.
name: White, J. T.
name: Whitis, T. J.
name: Witherell, M. S.
name: Wolfs, F. L. H.
name: Xu, J.
name: Yazdani, K.
name: Young, S. K.
name: Zhang, C.
Publisher: name: arXiv
Year: 2017
Subjects: subject: Instrumentation and Detectors (physics.ins-det)
subject: High Energy Physics - Experiment (hep-ex)
subject: Computational Physics (physics.comp-ph)
subject: FOS: Physical sciences
subject: FOS: Physical sciences

description: 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 ($β^-$ 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 $σ$= 0.82 cm for events of only 200 electroluminescence photons and $σ$ = 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.
description: 30 pages, 17 figures