DUNE Precision Neutrino Physics of the Future Alfons Weber University of Oxford, UKRI/STFC Rutherford Appleton Lab Birmingham, 27-February-2019
Neutrino Mixing The PMNS Matrix • Assume that neutrinos do have mass: - mass eigenstates weak interaction eigenstates - Analogue to CKM-Matrix in quark sector! e 1 = U 2 3 − i 1 0 0 0 0 1 0 0 U U U c s e c s e 1 e 2 e 3 13 13 12 12 = = − i U U U U 0 c s 0 1 0 s c 0 0 e 0 2 1 2 3 23 23 12 12 − − i i U U U 0 s c s e 0 c 0 0 1 0 0 e 3 1 2 3 23 23 13 13 = = = = ( θ ) θ Δm 2 2 with cos( ), sin , mixing angle and mass difference c s ij ij ij ij ij ij 2 27-Feb-2018 A.Weber | DUNE
The Who-is-Who æ ö æ ö æ ö æ ö s 13 e - i d c 13 c 12 s 12 0 0 ç ÷ ç ÷ 1 0 0 ç ÷ 1 0 0 ç ÷ ç ÷ ç ÷ ç ÷ i d 2 ç ÷ U = - s 12 c 23 s 23 c 12 e 0 0 1 0 0 0 0 ç ÷ ç ÷ ç ÷ ç ÷ ç ÷ - s 13 e i d i d 3 ç ÷ c 13 ç ÷ e ç ÷ - s 23 0 c 23 0 0 0 0 0 1 è ø è ø è ø è ø ν μ disappearance Solar neutrino oscillation ν– less double beta decay ν e appearance in ν μ beam Or reactor neutrino experiments 3 27-Feb-2018 A.Weber | DUNE
Mass Ordering Normal Inverted 4 27-Feb-2018 A.Weber | DUNE
Oscillations for Dummies or , 1 2 cos sin 2 2 1.27 m L = → = 1 2 ( ) sin (2 )sin P − sin cos E 2 • Measure prob. - Survival - Appearance = − 2 3 2 m 3 10 eV • Result = 2 sin ( 2 ) 1 = L 735 km - Mixing angle - Mass differences 5 27-Feb-2018 A.Weber | DUNE
Matter Effects • Simplified treatment: two neutrinos only In vacuum in matter 2 2 m L m L → = → = 2 2 2 2 m P ( ) sin ( 2 ) sin P ( ) sin ( 2 ) sin e e m 4 E 4 E ( ) ( ) sin 2 = with sin 2 ( ) ( ) m − − 2 2 cos 2 sin 2 A ( ) ( ) = − − 2 2 2 2 m m cos 2 A sin 2 m 2 2 G N E = F e A 2 m • Matter modifies oscillation probability - Sign of mass difference matters (opposite for anti-v) - Larger effect at higher energies 6 27-Feb-2018 A.Weber | DUNE
The Full Monty • Life isn’t that easy - 3 Flavour oscillations 2 m L → = 2 2 P ( ) sin ( 2 ) sin - Matter effects e 4 E • The full formula 7 27-Feb-2018 A.Weber | DUNE
The T2K Experiment • Neutrino Beam from j-parc - Beam power 50 – 480 kW • Far Detector - SuperKamiokande - 40 kton water Cherenkov 8 27-Feb-2018 A.Weber | DUNE
Producing Neutrinos off-axis (2.5°) (30 GeV from MR π→μν synchrotron) 118 m 0.43 E π E = + 0º ν 2 2 1 γ θ 9 27-Feb-2018 A.Weber | DUNE
Super-Kamiokande PID - e 10 27-Feb-2018 A.Weber | DUNE
Muon Neutrino Disappearance Oscillation probability L → = − 2 2 2 ( ) 1 sin (2 )sin 1.27 P m E neutrinos anti-neutrinos 11 27-Feb-2018 A.Weber | DUNE
NOvA 12 27-Feb-2018 A.Weber | DUNE
NOvA Detector Concept 13 27-Feb-2018 A.Weber | DUNE
NOvA Events 14 27-Feb-2018 A.Weber | DUNE
NOvA Disappearance 15 27-Feb-2018 A.Weber | DUNE
A word of caution 16 27-Feb-2018 A.Weber | DUNE
The Happy Family 17 27-Feb-2018 A.Weber | DUNE
Electron Neutrino Appearance T2K NOvA 18 27-Feb-2018 A.Weber | DUNE
The Full Monty sin( δ ) changes sign for anti-neutrinos • δ is CP-violating phase • Matter anti-matter difference 19 27-Feb-2018 A.Weber | DUNE
T2K Results 20 27-Feb-2018 A.Weber | DUNE
NOvA Results 21 27-Feb-2018 A.Weber | DUNE
General Setup • LBNF/DUNE will consist of - An intense 1.2 MW upgradeable 𝜉 -beam fired from Fermilab - A massive 68 kt (40kt instrumented) deep underground LAr detector in South Dakota and a large Near Detector at Fermilab - A large international collaboration 1300 km South Dakota Chicago & e STT� Module� Barrel� Backward� ECAL� Barrel� � ECAL� RPCs� End� FD Magnet� RPCs� Coils� Forward� ECAL� End� RPCs� ND 23 27-Feb-2018 A.Weber | DUNE
Physics Program • Neutrino Oscillations - Search for leptonic CP violation - Determine neutrino mass ordering - Precision PMNS measurements • Supernova Physics - Observation of time and flavour profile provides insight into collapse and evolution of supernova - Unique sensitivity to electron neutrinos • Baryon number violation - Predicted by many BSM theories - LAr TPC technology well-suited to certain proton decay channels ( e.g. , p→K+ 𝜉 ) - 𝛦 (B-L) ≠ 0 channels accessible ( e.g. , n→n̅) 24 27-Feb-2018 A.Weber | DUNE
The DUNE Collaboration Sep 2018 25 27-Feb-2018 A.Weber | DUNE
The DUNE Collaboration 26 27-Feb-2018 A.Weber | DUNE
Beam • Proton beam energy 60-120 GeV • Power 1.2 MW ➔ 2.4 MW • Neutrinos and anti-neutrinos 27 27-Feb-2018 A.Weber | DUNE
How to Measure Oscillations • Oscillation probabilities 𝑔𝑏𝑠 𝐹 𝜉 𝑔𝑏𝑠 𝐹 𝜉 𝜚 𝜉 𝑓 𝜚 𝜉 𝑓 𝑄 𝜉 𝜈 →𝜉 𝑓 𝐹 𝜉 = = 𝑜𝑓𝑏𝑠 𝐹 𝜉 ∗ 𝐺 𝑔𝑏𝑠,𝑜𝑝−𝑝𝑡𝑑 𝐹 𝜉 𝜚 𝜉 𝜈 𝑔𝑏𝑠/𝑜𝑓𝑏𝑠 (𝐹 𝜉 ) 𝜚 𝜉 𝜈 • Number of events/energy spectrum Well known (1-2%) 𝑒𝑓𝑢 𝑒𝑂 𝜉 𝑒𝑓𝑢 𝐹 𝜉 ∗ 𝜏 𝜉 𝜈 𝐵𝑠 𝐹 𝜉 = 𝜚 𝜉 𝜈 𝑒𝐹 𝜉 • In reality 𝑒𝑓𝑢 𝑒𝑂 𝜉 𝑢𝑏𝑠𝑓𝑢 𝐹 𝜉 ∗ 𝑈 𝑒𝑓𝑢 𝐹 𝜉 ∗ 𝜏 𝜉 𝑒𝑓𝑢 𝐹 𝑤 , 𝐹 𝑠𝑓𝑑 = න 𝜚 𝜉 𝑒𝐹 𝜉 𝜉 𝜈 𝑒𝐹 𝑠𝑓𝑑 • Folding of detector effects - Prevents (easy) cancellations of many systematic effects - Needs unfolding 28 May-2018 A.Weber | DUNE ND Status
Are there cancellations? • Oscillation signal Small theo. uncertainty or measurement 𝑔𝑏𝑠 𝑒𝑂 𝜉 𝑓 𝐵𝑠 𝐹 𝜉 𝜏 𝜉 𝑓 𝑒𝐹 𝑤 ൚ = 𝑄 𝜉 𝜈 →𝜉 𝑓 𝐹 𝜉 ∗ ∗ 𝐺 𝑔𝑏𝑠/𝑜𝑓𝑏𝑠 (𝐹 𝜉 ) 𝑜𝑓𝑏𝑠 𝐵𝑠 𝐹 𝜉 𝑒𝑂 𝜉 𝜈 𝜏 𝜉 𝜈 𝑒𝐹 𝑤 • Near muon/electron ratio 1-2% uncertainty 𝑜𝑓𝑏𝑠 𝑒𝑂 𝜉 𝑓 𝐵𝑠 𝐹 𝜉 𝑜𝑓𝑏𝑠 𝐹 𝜉 𝜏 𝜉 𝑓 𝜚 𝜉 𝑓 𝑒𝐹 𝑤 = ∗ ൚ 𝑜𝑓𝑏𝑠 𝐹 𝜉 𝐵𝑠 𝐹 𝜉 𝑜𝑓𝑏𝑠 𝑒𝑂 𝜉 𝜈 𝜚 𝜉 𝜈 𝜏 𝜉 𝜈 𝑒𝐹 𝑤 Not so small • Need to know uncertainty - Flux & cross section ratios - Far/near extrapolation A.Weber | DUNE ND Status 29 May-2018
But in Reality 𝑔𝑏𝑠 𝑒𝑂 𝜉 𝑓 𝑔𝑏𝑠 𝐹 𝑤 , 𝐹 𝑠𝑓𝑑 𝑜𝑓𝑏𝑠 𝐹 𝜉 ∗ 𝐺 𝐵𝑠 𝐹 𝜉 ∗ 𝑈 𝑄 𝜉 𝜈 →𝜉 𝑓 𝐹 𝜉 ∗ 𝜚 𝜉 𝜈 𝑔𝑏𝑠/𝑜𝑓𝑏𝑠 (𝐹 𝜉 ) ∗ 𝜏 𝜉 𝑓 𝑒𝐹 𝜉 𝑒𝐹 𝑠𝑓𝑑 𝜉 𝑓 = 𝑜𝑓𝑏𝑠 𝐹 𝜉 ∗ 𝜏 𝜉 𝜈 𝐵𝑠 𝐹 𝜉 ∗ 𝑈 𝑜𝑓𝑏𝑠 𝐹 𝑤 , 𝐹 𝑠𝑓𝑑 𝑜𝑓𝑏𝑠 𝑒𝑂 𝜉 𝜈 𝜚 𝜉 𝜈 𝑒𝐹 𝜉 𝜉 𝜈 𝑒𝐹 𝑠𝑓𝑑 • No cancellations - Unless you unfold • Need to understand especially - Detector effects in near and far detector - Relation of visible to neutrino energy - Cross section ratios - Near to far flux extrapolation • Flux normalisation cancels - Shape is more important 30 May-2018 A.Weber | DUNE ND Status
Near Detector Complex • Multiple Near Detectors - characterise beam & neutrino interactions & detector response - LAr TPC (similar to FD) - High pressure gaseous argon TPC tracker - Calorimeter and muon systems 27-Feb-2018 31 A.Weber | DUNE
ArgonCube 2X2 prototype (proto-DUNE-ND) Engineering concept In the laboratory in Bern First cool down starts next week Will be brought to Fermilab after testing at Bern. To be placed in the NuMI beam MINOS ND Hall 32 1/28/2019 Alan Bross | NDDG Status
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