Correlation between electron shower energy and beam momentum Correlation between electron shower energy and beam momentum can be fitted as 𝑬𝒔𝒉𝒐𝒘𝒆𝒓= 𝒑𝟎+ 𝒑𝟏⋅𝑬𝒃𝒆𝒂𝒎a linear straight line, which can be influenced by the missing energy. *Preliminary result MC p0 = -0.0164 ± 0.001547 P1 = 0.9416 ± 0.0008942 The calibration data with 7 GeV beam momentum is removed due to its bad electron life time —Runs with 7 GeV beam —Runs with other beam energy Interested in the determination of electron shower energy and its resolution A typical example of electron shower in ProtoDUNE detector Electron shower event Reference: [1] B. Abi, R. Acciarri, M. A. Acero, M. Adamowski, C. Adams, et al.. The Single-Phase ProtoDUNE Technical Design Report; 2017 [2] Acciarri R, Adams C, An R, Aparicio A, Aponte S, Asaadi J et al.. Design and Construction of the MicroBooNE Detector; 2016 Linhui Gu for DUNE collaboration Electron Shower Energy Reconstruction for the ProtoDUNE experiment Analysis goal 2 Resolution calculation 4 Detection principle Neutrino interacts with the argon in the TPC, creating secondary particles Charged particles in the TPC excite and ionize the argon along their travel through the detector About 6000 electrons per mm are released from the ionization of argon These electrons are attracted by the anode plane where they are detected, while the much heavier positive ions move relatively slow in this field; Together with the scintillation light detected by a photon detection system, a 3D reconstruction of the interaction can be performed to identify the particles. Operating principle for liquid argon time projection chambers.[2] The beam of the tertiary particles was designed to cover the expected spectrum of particles from neutrino interactions in the DUNE detectors. Get shower charge Electron life time correction Missing energy correction Energy charge conversion Get shower energy Charge calculation 3 ∼0.1 GeV shift caused by missing energy for 1 GeV beam momentum events *Preliminary result Calibration run with beam energies: 0.3, 0.5, 1, 2, 3 and 6 GeV Beam momentum Beam momentum resolution measured as a function of momentum, which will directly contributes to shower charge resolution as the constant parameter *Preliminary result Energy resolution vs beam momentum: 𝝈𝑬 𝑬𝒔𝒉𝒐𝒘𝒆𝒓= 𝒂𝟐+ 𝒃 𝑬𝒃𝒆𝒂𝒎 𝟐 + 𝒄 𝑬𝒃𝒆𝒂𝒎 𝟐 Stochastic term of resolution: 𝟏 𝑬𝒔𝒉𝒐𝒘𝒆𝒓 a = 0.066 ± 0.0097 Constant term • From beam momentum b = 0.023 ± 0.0639 GeV Stochastic term • Contributed by missing energy • Represents the fluctuation in the ionization process c = 0.050 ± 0.0099 GeV Noise term • Fluctuation in upstream energy loss Energy resolution *Preliminary result Electron lifetime correction Impurities in liquid argon can capture ionization electrons, reducing the signal read on the wires 𝑸𝒄𝒐𝒍𝒍. This charge loss can be corrected by a function of a hit drift time 𝒕and the free electron lifetime 𝜏𝑒of the TPC: 𝑸𝒄𝒐𝒓𝒓= 𝑸𝒄𝒐𝒍𝒍⋅𝒆Τ 𝒕𝝉𝒆 Larger electron lifetime means better purity, so we have a goodness requirement: 𝜏𝑒>10ms Missing energy correction Missing energy is caused by ADC charge threshold (around 100 keV/tick), which will directly affect the charge calculation of the electron shower. In this work we estimate the missing energy based on MC simulated data. Introduction 1 ProtoDUNE experiment Structure of protoDUNE-SP detector[1] ProtoDUNE detector at CERN. There are two ProtoDUNE detectors, namely ProtoDUNE-SP and ProtoDUNE-DP(now VD), which are horizontal and vertical drift TPCs respectively. •The ProtoDUNE experiment is a full engineering prototype of the DUNE far detector, and took test beam data at CERN. • ProtoDUNE is the largest Liquid Argon Time Projection Chamber (LArTPC), which contains about 770 tons of liquid argon, with 420 tons in the active volume. • These engineering prototypes will test DUNE detector components and help establish construction procedures. ProtoDUNE-SP ProtoDUNE-DP(now VD) Average missing energy per event ∼56 MeV/event (1 GeV) Beam momentum 1 GeV