Tau-neutrino production study in 400 GeV proton interactions

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Tau-neutrino production study in 400 GeV proton interactions Tomoko Ariga AEC/LHEP, University of Bern On behalf of the DsTau Collaboration

Physics motivation Tau-neutrino: less studied particle in the standard model DONuT: First direct observation of interactions (9 candidate events observed) OPERA: Discovery of ν μ ν τ oscillations in appearance mode (5 candidate events) Precise measurement of CC cross section would be a test of lepton universality in neutrino CC interactions 2

Status of neutrino CC cross section measurements : measured by many experiments Average over 30-200 GeV Muon neutrino CC inclusive cross sections (PDG 2014 and 2015 update) const (0.51 0.01) 10 38 cm 2 GeV 1 ~2% error : only the DONuT experiment ν τ source is D S produced in proton interactions: D s+ + X D s- - X No experimental data on the D s differential production cross section (dσ/dx F ) in high energy proton interaction >50% systematic uncertainty in the cross section measurement 3

Neutrino beam line in DONuT (Fermilab E872) Target (Tungsten 1m, 10λ int ) Sweeping magnets (pt kick 6GeV/c, 3GeV/c) Passive shielding (Iron, lead, concrete) Emulsion + SFT hybrid detector 800 GeV protons Mu ID ν τ source Primary proton D s τ ν τ ν τ ν μ ν e Energy spectra of neutrinos interacting in the emulsion target ν τ Main source e μ D 0, D ±, D s, Λ c D 0, D ±, D s, Λ c, π, K D s 4

Cross section measurement in DONuT using 9 ν τ CC events observed with an estimated background of 1.5 events ν τ CC cross section const E K ( E) ( E) K: kinematic effect due to the lepton mass The largest uncertainty in DONuT: differential cross section of D s produced in proton interactions (used to calculate the flux) Phenomenological formula used to describe charmed particles d dx F dp 2 2 T (1 x F ) n longitudinal dependence exp( bp 2 T ) transverse dependence K(E) x F is Feynman x (x F =2p CM z/ s) and p T is transverse momentum No experimental data giving n for D s produced by 800 GeV proton interactions The energy-independent part was parameterized as const 7.5(0.335n 1.52 ) 10 40 cm 2 GeV 1 5

Parameter-dependent cross section result by DONuT Final tau-neutrino results from the DONuT experiment, Physical Review D 78, 5 (2008) 1-σ statistical error n=6.1 based on PYTHIA(6.129) const No published data giving n for D s produced by 800 GeV proton interactions Main systematic uncertainties D s differential cross section (x F dependence) ~0.50!? Charm production cross section 0.17 Decay branching ratio 0.23 Target atomic mass effects (A dependence) 0.14 By measuring the longitudinal part of D s production, we can re-evaluate the cross section 6

The DsTau project: Tau-neutrino production study at the CERN SPS New experiment Aim: Improve knowledge of tau-neutrino production Re-evaluate existing ν τ cross section (DONUT result): systematic uncertainty >50% ~10% Provide essential data for future ν τ experiments, e.g. SHiP Method: Direct measurement of tau-neutrino production in 400 GeV proton interactions Dominant source (>95%): D s τ ν τ X ν τ ν τ Detect the double-kink topology within a few mm by emulsion detector Measure x F distribution (D s momentum estimation using topological variables) Status LoI submitted to the CERN-SPSC in Feb 2016 positive feedback Prototype test experiment in Nov. 2016 Primary proton Proton target: tungsten foil + emulsion tracker Double-kink topology Mean ~3 mm D s τ ν τ ν τ Small kink of D s τ Mean 7 mrad 7

The collaboration Japan: Aichi Kobe Nagoya Romania: Bucharest Russia: Dubna Switzerland: Bern Turkey: Ankara 8

Signal and background Signal: a double kink + a charmed particle decay Main background: hadron interactions Nuclear fragments Ds Small kink ~7 mrad kink ~100 mrad X p D + kink ~100 mrad X p Ds X p D 0 X n 9

Towards detection of a few mrad kink topology Emulsion detectors: highest position resolution Emulsion film Cross-sectional view Emulsion layer (44 m) AgBr crystal 10 14 crystals in a film Plastic base (200 m) Emulsion layer (44 m) 200 nm 10GeV/c p beam 20 m Sensitivity 36 grains/100 m 3D tracking device Intrinsic resolution 50 nm 10

Emulsion research facility in Bern Detector production and R&D Automated emulsion scanning microscopes Dedicated emulsion facility 30 m deep underground lab Detector production chain and photographic development chain Dedicated R&D program for several kinds of special emulsions, collaborating with Nagoya University in Japan High speed readout system Fast 4π track recognition based on GPU technology (A. Ariga and T. Ariga, Journal of Instrumentation 9 P04002 (2014)) Upgrade ongoing 11

Intrinsic resolution of emulsion detectors Emulsion detector produced in Bern using high sensitivity emulsion gel produced in Nagoya University Measured intrinsic resolution AEgIS 2012 run with antiprotons JINST 8 (2013) P08013 Intrinsic resolution 58 nm Angular resolution 0.05μm 2/200μm = 0.35 mrad 12

Detection of D s τ X events (double-kink topology) τ decay can be easily detected by standard readout (mean kink angle ~100 mrad) Need high precision readout! The analysis chain: 1) Tag X decay 2) Perform high precision measurement to detect D s decay Flight length of D s Mean 3.3 mm Kink angle of D s Mean 7 mrad 13

Module structure for D s τ X measurement 5~10 units (total 50~100 emulsion films) ECC for momentum measurement (26 emulsion films interleaved with 1 mm thick lead plates) X 12.5 cm 1 module Ds X Proton beam (Z) 10 5 protons/cm 2 (uniform irradiation) Y 10 cm D + X Z 5.9~8.6 cm (5~10 units + ECC) 14

Signal efficiency Ds kink ~ 100 mrad Small kink ~ 7 mrad X Selection (FL: Flight Length, Δθ: kink angle) Total efficiency D s + D s - Ds D + kink ~ 100 mrad X X FL(D s )> 2 emulsion layers 78% 77% (FL()> 2 layers & Δθ(D s )> 2mrad) or (FL()> 1 layer & Δθ(D s )> 15mrad) 44% 43% FL(D s )<5mm & FL()<5mm 32% 31% D 0 Δθ()>15mrad 30% 28% X Pair charm: 0.1mm<FL<5mm & Δθ>15mrad 20% 20% 15

For x F measurement: D s momentum reconstruction from topological variables x F is a longitudinal profile of Ds: x F = 2p z CM / s = 2g(p Ds Lab cosθ Ds -βe Ds Lab )/ s Ds decays quickly, unable to measure P directly Need a method to estimate P Ds from topological variables Proton Ds FL Ds q Ds FL q q X X 16

Topological variables: correlation with P Ds Sample: tau single prong decay q Ds FL Ds q FL q X 17

Ds momentum reconstruction by Artificial Neural Network (ANN) using 4 variables Proton Ds FL Ds FL q q X X 18

Expected precision for the cross section measurement Systematic uncertainties D s differential cross section (x F dependence) DONuT Charm production cross section 0.17 With DsTau ~0.50!? ~0.10 ν τ CC cross section measured by DONUT as a function of the parameter n Decay branching ratio 0.23 ~0.03 Target atomic mass effects (A dependence) 0.14 To reach ~10% precision on the cross section, the parameter n is to be measured with a precision of ~0.3 19

Expected precision for the measurement of x F distribution x F distribution (100000 events) x F distribution (1000 events) parameter n Repeat 100 experiments Fit of the yields to (1- x F ) n n = 5.8 Using reconstructed x F Parameter n Precision of ~0.3 could be achieved with 1000 events 20

x F distributions of Ds ± : energy dependence 800 GeV beam 400 GeV beam Fit of the yields to (1- x F ) n n = 6.9 n = 5.8 To re-evaluate DONUT result, need to extrapolate 400 GeV data to 800 GeV The uncertainty is to be estimated 21

How many interactions to be analyzed? To detect 1000 D s X events Efficiency ~20%, BR(D s τ) = 5.55% 8.2x10 4 D s to be produced D s production cross section in Tungsten target ~4x10-4 @400GeV 2x10 8 proton interactions to be analyzed! only 10 5 proton interactions were analyzed in emulsions in E653 (previous emulsion hybrid experiment using high energy hadron beams) D s candidate found in Fermilab E653 22

Target and detector In case of 10 units 0.05 λ int in tungsten 4x10 9 pot needed to get 2x10 8 proton int. Track density in emulsion: keep <10 5 tracks/cm 2 at the upstream side To expose 4x10 9 pot detector surface 4x10 4 cm 2 (400 modules) 5~10 units (total 50~100 emulsion films) ECC for momentum measurement (26 emulsion films interleaved with 1 mm thick lead plates) Proton beam (Z) 10 5 protons/cm 2 (uniform irradiation) X 12.5 cm Y 10 cm 1 module Z 5.9~8.6 cm (5~10 units + ECC) 23

The expected setup of the experiment Old design Needed beam time Assuming 10 5 protons/spill and the beam spot 1 cm 2, detector surface 4 x 10 4 (cm 2 ) x 30 (sec/cm 2 ) = ~2 weeks. Module exchange time: 10 min x 400 modules = ~ half week. 24

Readout of emulsion data New scanning system being developed in Nagoya, aiming at the speed of 9000 cm 2 /h (22 m 2 /day) Another system dedicated to high precision measurements to be developed in Bern New experiment Emulsion surface Readout time ~500 m 2 (x2sides) Standard scan 4 months to 1 year High precision scan ~3 month 25

High precision measurement system Intrinsic resolution of each grain = 50 nm Two grains on top and bottom of 200 m base 0.35 mrad Conventional systems spoil it due to mechanical vibration of Z axis (about 0.2m, corresponding to 1.5 mrad) Need high precision Z-axis Piezo objective scanner under testing Z axis systematics to be kept below 60 rad (0.06 mrad) By fitting a series of grains, the angular resolution would reach 0.2 mrad θ x =50nm 200 m base Piezo objective scanner Angular alignment between films to be done by using dense 400 GeV proton tracks 400 GeV proton scatters 2 rad between emulsion trackers 10 5 tracks/cm 2 = 100 tracks in each microscope view 26

Prototype test experiment in 2016 Proton beam test in Nov. 2016 5 days of beam time at the H4 beam line 20 m 2 emulsion surface (1:20 of the final setup) Aim Test of tuning the beam size Optimization of the setup Proof of principle of the experiment x F evaluation by ~30 detected D s τ events Several conditions Track density study 10 4 / cm 2 x a few bricks 10 5 / cm 2 x ~10 bricks 10 6 / cm 2 x a few bricks Longitudinal thickness 5, 10, 20 units (50, 100, 200 films) 27

Preparation in progress Establishing the film production facility equipped with 9 gel pouring tables Emulsion film production in Bern using the gel from Japan Target mover: XY stage and control Beam profile monitor with silicon pixel sensors (~4cmx4cm) XY stage 28

Film production in Bern Total 20 m 2 double-side coated films (1600 small-size films) Plan: 0.15 m 2 / table x 9 pouring tables x 4 production batches / day 10cm Emulsion layer (top) Plastic base Pour emulsion gel on plastic sheet (60 cm x 25 cm = 1500 cm 2 per table) 8 more tables are being installed Emulsion layer (bottom) Maximum speed of 10 m 2 per week will be achieved with this system 29

Target mover: XY stage and control Move the modules w.r.t. the beam for uniform irradiation with a density of 10 5 /cm 2 Stage Remote control via network Timing chart Moving test 30

Timetable of the whole project 2016 2017 2018 2019 2020 2021 2022 (SPS shutdown) LoI to the SPSC Proposal Detector production Feedback Beam test Proton run1 Proton run2 R&D of high precision readout Readout of emulsion data and analysis Publication of the results 31

Summary and prospects ν τ CC cross section measurement could be a test of lepton universality ν τ cross section measurement have been reported only by DONUT The DONUT results suffer from large systematic error (>50%), not only statistical error (30%) The main systematic error is how D s were produced at beam source DsTau project D s τ X precision measurement in high energy proton interactions is essential input toward precise evaluation of ν τ cross section 2x10 8 proton interactions are to be obtained to analyze 1000 D s τ X events Prototype test experiment in Nov. 2016 Aiming to realize the experiment hopefully in 2018 before the SPS shutdown 32