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Fitting Supernova Spectral Parameters with DUNE Erin Conley On behalf of the DUNE Collaboration April 14, 2019 Outline Introduction The Deep Underground Neutrino Experiment (DUNE) Supernova neutrinos Modeling supernova neutrinos


  1. Fitting Supernova Spectral Parameters with DUNE Erin Conley On behalf of the DUNE Collaboration April 14, 2019

  2. Outline Introduction • – The Deep Underground Neutrino Experiment (DUNE) – Supernova neutrinos Modeling supernova neutrinos in DUNE • – SNOwGLoBES – MARLEY – Pinched-thermal flux model Parameter fitting algorithm • – Studying incorrect detector performance assumptions Summary • 2

  3. International experiment for neutrino science (1100+ collaborators!) • Neutrino oscillation physics, supernova physics , nucleon decay – Two detectors: • – Near detector on-site at Fermilab Far detector at Sanford Underground Research Facility (SURF) in South Dakota – Far detector: world’s largest liquid argon time-projection chamber • (40 kton fiducial mass) www.dunescience.org Ionization electrons drift – due to high-voltage electric field Parallel wire planes – create 3D images of particle tracks 3

  4. Supernova Neutrinos in DUNE Expect ~3000 neutrino • Number of SN interactions expected to be seen in DUNE detector interaction events in DUNE detector for a 10 kpc SN – Neutrinos of all flavors carry 99% of core collapse energy – LAr is sensitive to ! " (versus water/scintillator which are sensitive to ̅ ! " ) DUNE devotes much time • into studying theory, event simulation, reconstruction algorithms, etc. related to supernova physics 4

  5. Simulating Supernova Neutrino Signals • SNOwGLoBES: SuperNova Observatories with GLoBES – GLoBES: General Long Baseline Experiment Simulator • Open source event rate calculation tool http://phy.duke.edu/~schol/snowglobes/ 5

  6. Supernova Flux Model Supernova neutrino spectrum AKA • “pinched-thermal form”: & " # " # ! " # = % exp − + + 1 " # " # – " # : Neutrino energy – % : Normalization constant (related to luminosity, . ) " # : Mean neutrino energy – – + : Pinching parameter; large + corresponds to more pinched spectrum Parameters of interest: . , " # , + • Pinched-thermal for a 10kpc supernova (K. Scholberg) Note: Fluence refers to a time-integrated flux. 6

  7. MARLEY: Model of Argon Reaction Low-Energy Yields MARLEY models low-energy • ! " CC neutrino interactions More sophisticated modeling • of final state particles $ % = 16.3 MeV S. Gardiner (http://www.marleygen.org/) 7

  8. Measuring the Flux Parameters Use pinched-thermal flux + • MARLEY modeling to simulate event rates in DUNE detector Flux parameters play • significant role in ! " event rates Develop algorithm to • measure, constrain flux parameters based on SNOwGLoBES event rates 8

  9. Parameter Fitting Algorithm Algorithm uses the • 1) Test Spectrum ! " , $ % " , & " following tools: – “Test spectrum” with given set of pinching parameters ! " , $ % " , & " – Grid of energy spectra containing combinations of ( ) ( ! , $ % , & ) … 2) Grid with many different combinations of (!, ⟨$ % ⟩, &) Compute ' ( value between • test spectrum and all grid spectra; determine best-fit grid element, “sensitivity regions” that constrain parameters 9

  10. Studying Biases due to Incorrect Detector Assumptions • Test spectrum: data from supernova as observed by DUNE • Grids: different DUNE detector performance assumptions • Change assumptions for test spectrum, and for grids, to study effect of mismatched assumptions about detector performance – Study parameter biases introduced by incorrect assumptions using fractional difference from truth: Frac. Diff. = * − * , * , 10

  11. Studying Effect of Detector Performance Knowledge on Bias: Each box corresponds to a unique combination of test • Test Spectrum Resolution (Percent) spectrum and grid; diagonal boxes correspond to correct assumptions • Color scale indicates best-fit parameter fractional difference from truth As assumptions get farther from truth, biases • increase; +30% shift in assumed energy resolution yields ±20% bias on ' Grid Spectra Resolution (Percent) 11

  12. Summary • DUNE is preparing to observe supernova neutrinos and extract as much information as possible • Parameter fitting algorithm used to understand DUNE’s ability to constrain supernova flux parameters – 2D fractional difference plots show bias results from imperfect knowledge of detector parameters; helps quantify how well we need to know these parameters 12

  13. Backup Slides

  14. Liquid Argon Time Projection Chamber Neutrino-argon interaction: argon is • ionized by charged secondary particles Scintillation light detected by photon – detectors provides timing information Charged particles drift toward induction • planes, deposit charge on collection plane wires Charge deposited on wire planes • Reconstructed wire objects (signals for – specific particles) Reconstructed 2D hits (single ionized – particles) Reconstructed 2D clusters (ionization of – multiple particles) Reconstructed 3D objects like tracks, – showers, space points LArTPC Schematic 14

  15. Forward Fitting: “Sensitivity” Example ( ) Map Use SNOwGLoBES to generate • binned energy spectra for a given set of pinched-thermal parameters " , & " → “test spectrum” ! " , $ % Determine ( ) values for all elements • in grid with many combinations of ( ! , $ % , & ) Minimize ( ) while profiling over 1 or • 2 model parameters Form sensitivity regions using cut • on ( ) values 15

  16. Energy Resolution: Introduction Determine how smearing • affects parameter measurements – what if our resolution assumptions are incorrect? Smearing matrices: true • deposited energy from MARLEY + LArSoft; smeared with Gaussian resolution from 0 − 30% 16

  17. Examples of Sensitivity Regions Notes: • Here we see superimposed ! sensitivity regions + best-fit parameters for one test spectrum input into different grids • We can see how " (10 &' ergs) the areas change and also how the bias in our best-fit measurements change! ! - . (MeV) 17

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