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R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near Beam monitoring and Near detector requirements for a detector requirements for a Neutrino factory or long Neutrino factory or long baseline beams baseline beams R. Tsenov, 4 August, 2011 IDS-NF IDS-NF EURO EURO ν ν Dedicated workshop took place at CERN 30-31 July 2011 , http://indico.cern.ch/event/ndws1

R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

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Page 1: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 1/30

Beam monitoring and Near detector Beam monitoring and Near detector requirements for a Neutrino factory or requirements for a Neutrino factory or

long baseline beamslong baseline beams

R. Tsenov, 4 August, 2011

IDS-NFIDS-NF

EUROEUROνν

Dedicated workshop took placeat CERN 30-31 July 2011,

:// . . / / 1http indico cern ch event ndws

Page 2: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 2/30

Neutrino factory baseline design

Page 3: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 3/30

Eμ = 25 GeV ±80 MeV

Straight section length = 600 m

Muon angular spread 0.5 mrad

Neutrino Factory Near Detector(s)

100

Decay straight dip angles of the two racetracks are 18° and 36°→ Near detectors will be at depths of 264 and 502 m, respectively.

Page 4: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 4/30

What do we want to measure with the Near

detector(s)?• neutrino flux (through the measurement of neutrino-electron

scattering);• neutrino-beam properties that are required for the flux to be

extrapolated with accuracy to the far detectors;• charm production cross sections over neutrino beam energy

range (at least wrong sign muon production rate); • νμN and νeN CC total cross-section and separately (?) deep

inelastic, quasi-elastic, and resonant-scattering cross sections;• fundamental electroweak and QCD physics (ie PDFs, sin2θW);• non-standard interactions (NSI) via τ-lepton production;• sterile neutrino search.

Page 5: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 5/30

2.5% error on flux makes big difference in CP coverage

CP violation discovery reach (3σ CL) J.Tang, W.Winter, Phys.Rev.D80:053001,2009

Importance of flux knowledge for systematics

Page 6: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 6/30

Projection method to the Far detector

• Effect of fit accuracy from 2 for 13 and fitted-true value

• Standard method: calculated flux with floating normalistion

• Projection method: fit using near detector flux to predict far detector

Normal hierarchy: 13=1o, =45o, 5% error on rate ratio

Slightly better fits using near detector projection:average residuals ~0.6comparedtowith the standard one

A. Laing’s Thesis,:// . . . /2216/http theses gla ac uk

Page 7: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 7/30

• Motivation: measure charm cross-section to validate size of charm background in wrong-sign muon signature (charm cross-section and branching fractions poorly known, especially close to threshold).

• Motivation: tau production in near detector is a signal for non-standard interactions.

Emulsion sheets or silicon strips?

Vertex detector of high granularity is needed.

Charm and τ production measurement

(Charm)/(CC)=(5.75±0.32±0.30)%Measurement of charm production in neutrino charged-current interactions.CHORUS Collaboration, CERN-PH-EP-2011-109. Jul 2011, arXiv:1107.0613

Page 8: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 8/30

Cross section measurements

Expected cross-section errors

from T2K and Minerva are dominated by absolute flux error before Neutrino Factory.

At Neutrino fsctory, with modest size targets one can obtain verylarge statistics.What precision do we need?

Page 9: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 9/30

Determination of the neutrino flux

• measure the muon beam in the straight sections(see Alain Blondel’s talk at this workshop: http

://indico.cern.ch/materialDisplay.py?contribId=9&sessionId=3&materialId=slides&confId=114816– beam intensity by Beam Current Transformer like device – good

confidence that relative precision of few 10-3 can be reached (task on its own);

– beam divergence by specialised device inside or around the beam pipe;– muon polarisation – averages out to zero;

• calculate the neutrino flux:– muon decay properties incl. radiative corrections are extremely well

known → we can rely on MC;• independent measurement of the neutrino flux in the Near independent measurement of the neutrino flux in the Near

detector – very important cross-check.detector – very important cross-check.

Page 10: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 10/30

• Vertex detector for charm and τ production (NSI+sterile neutrinos)

• Low Z high resolution tracker for flux and cross-section measurement (and e)

• Magnetic field for better than in MIND muon momentum measurement

• Muon catcher and capability for and e+/e– identification

• Good resolution on neutrino energy (much better than in Far Detector) for flux extrapolation – how much better?

Near detector design requirements

Page 11: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 11/30

Near Detector design will have three sections:– High granularity detector for charm/τ measurement;

– High resolution detector (Scintillating Fibres trackerScintillating Fibres tracker or Straw Straw Tube trackerTube tracker) for precise measurement of the event close to the vertex;

– Mini-MIND detector for muon measurement.

beam3 m

3 m

B~1 T

~20 m

High resolution High resolution detectordetector Mini-MINDMini-MIND

High granularityHigh granularitydetectordetector

Block diagram design

Page 12: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 12/30

Measurement of the neutrino flux by ν-e scattering

ν-e CC quasi-elastic scattering with single muon in the final state:Absolute cross-section can be calculated theoretically with enough confidence .

Two processes of interest (available only for neutrinos from μ– decays):

μ+e+ e μ+e+e

241

222

107.1 cms

ms

π

G=σ μF

2

222

31

2

s

)EE+E(Ems

π

G=σ

ν2ν1μeμF

for 15 GeV νμ;

It is ~10-3 of σtotal(νN)

Inverse Muon Decay (IMD) Production via annihilation

ν-e NC elastic scattering with single electron in the final state:

sin2W is known to better than 1% for this Q2 domain.

Page 13: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 13/30

Neutrino flux from μ– decays through the detector at 100 m from the straight end

Flux scaled to 2.5x1020 μ– decays/year;

~1020 ν’s through the detector

event rate

cross sections

Flux scaled to 2.5x1020 μ– decays/year

Page 14: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 14/30

Tracker requirements:• must provide sufficient interaction rates

→ solid detector;• must be able to reconstruct the polar

angle of the scattered muon with 0.5 mrad precision or better → low Z tracker;

• must be able to measure the hadron recoil energy down to values of several MeV → precise calorimeter.

• deposited energy around the vertex and

• muon scattering angle θμ, or

• = y (inelasticity) or

• muon pT2

)1(~2 EEE

ν-e CC signal extraction (only a μ– in the

final state) → discriminating variables

IMD

Page 15: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 15/30

• 20 tracker stations each consists of 4 horizontal and 4 vertical layers of 1 mm diameter scintillating fibres shifted with respect to each other + 5 cm thick active absorber, divided into 5 slabs to allow for more precise measurement of recoil energy near the event vertex;

• 12 000 fibres per station (240 000 in total);

• air gaps are closed by a layer of scintillating bars;

• overall detector dimensions: 1.5 x 1.5 x 11 m3 (2.7 tons of polystirene);

• Ultimately, with perfect space alignment of fibers, a position resolution of ~70 µm per station is achievable and angular resolution of ~ 0.5 mrad (obtained by GEANT4 simulations and Kalman filter reconstruction).

SciFi tracker design

Page 16: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 16/30

Detector characteristics

Page 17: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 17/30

Signal extraction

Page 18: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 18/30

Background subtraction to IMD exploiting anti-νμ interactions

Page 19: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 19/30

ν-e NC elastic scattering

Page 20: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 20/30

ν-e NC elastic scattering

Page 21: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 21/30

Result

With the SciFi tracker we can achieve ~1% uncertainty on the flux normalisation by exploring IMD or ν-e NC elastic scattering.

Page 22: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 22/30

High resolution magnetised detector (HiResM) – proposed for LBNE Near detector

Straw tube tracker design

Builds on NOMAD experience and ATLAS TRT and COMPASS detector designs.

Page 23: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 23/30

HiResMabsolute flux measurement via ν-e NC elastic scattering

Resolutions in HiResMνρ ≈ 0.1gm/cm3

Space point position ≈ 200μmTime resolution ≈ 1nsCC-events vertex: Δ (X,Y,Z) ≈ O(100μ)Energy in Downstream-ECAL ≈ 6%/√Eμ-Angle resolution (~5 GeV) ≈ O(1 mrad)μ-Energy resolution (~3 GeV) ~ 3.5%e-Energy resolution (~3 GeV) ~ 3.5%

Signal and charged hadrons backgroundLBNE flux!

ν-e NC signal: single forward e–

Background: charged hadrons and NC induced π° → γ → e– (e+ invisible)Two-step Analysis: •Electron-ID by transition radiation detection •Kinematical cut on y ~ Pe(1-cosϴe) It seems the background is benign (≤10-6).

S. Mishra

Optimised for conventional (super) beam flux monitoring.

Reference design option for ND at LBNE.

Page 24: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 24/30

High granularity vertex detector• Stack of OPERA-like

emulsion sheets: 150 sheets, overall volume ~500 cm3, mass ~ 1 kg, thickness - 4.6 cm (0.2 X0), capacity ~ 5000 neutrino events out of ~5x105 νμ CC interactions per year for this mass;

• Silicon vertex detector like

Total mass: 45 kg of B4C target (largest density 2.49 g cm-3 for lowest X0=21.7 cm.)

NOMAD-STAR (NIMA 413 (1998), 17; NIMA 419 (1998), 1; NIMA 486 (2002), 639; NIMA 506 (2003), 217.)

Page 25: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 25/30

Impact parameter detection of τ

• This was invented by Gomez Cadenas et al.– NAUSICAA: (Si vertex detector): NIM A 378 (1996), 196-

220

– ESTAR (Emulsion-Silicon Target): NIM A 381 (1996), 223-235

• Identify tau by impact parameter (for one prong decay of ) and double vertex (for 3 prong decays)

d~90m

Page 26: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 26/30

NAUSICAA PRD 55, (1997),1297. NIMA 385

(1997), 91.

• NAUSICAA proposal:– Impact parameter resolution -CC=28m

– Impact parameter resolution -CC=62m

• Efficiencies:

– : =10%

– n=10%

– n: =23%

– Total eff:

=0.85x10%+0.15x23%=12%

– =0.29

• Sensitivity at Main Injector with 2x107 CC interactions (MINSIS):

67

106.329.012.0102

48.2)(

oscP

• Intrinsic limit tau production Ds:

– 3.5x10-6 at 450 GeV

– 1.3x10-6 at 350 GeV

– 9.6x10-8 at 120 GeV

Page 27: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 27/30

– 150x150x2cm3 per layer of B4C (2.49 g/cm3) and 18 layers: total mass = 2.02 tonnes

– 20 layers of silicon: 45 m2 of silicon

– silicon strip detectors but could be pixels

– about 64,000 channels per layer: 1.28 million channels

Vertex detector dimensions

Page 28: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 28/30

• Rates: approx 3x107 CC events/year in 2 tons detector

• Assume 12% eff from NAUSICAA

• Inclusive charm production at <27 GeV> (from CHORUS): (5.75±0.32±0.30)%– From 0-30 GeV: ~3% → 106 charm events!

– Charm produced in CC reaction with d or s quark so always have lepton

– Associated charm in NC interaction (see charm review De Lellis et al. Phys Rep 399 (2004), 227-320)

• For τ measurement the impact parameter analysis could be used:– search for → and search for -

– anti-e background that can create D- which looks like signal, → need to identify e+ to reject background.

Charm and τ measurements

Very tough: probably overestimate in efficiency since background rejection will affect it

67

104.229.012.0103

48.2)(

P

Page 29: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 29/30

Summary and outlook• Near detector(s) at the Neutrino factory is a valuable tool for

neutrino flux measurement and standard and non-standard neutrino interactions study;

• Set-up: high granularity vertex detector, high resolution tracker, muon catcher;

• Silicon vertex detector+SciFi tracker+mini-MIND set-up is most advanced with respect to simulations with NF beam. ν flux can be measured with ~1% error;

• Second option exsits for the tracker – HiResMν. Simulations with NF beam needed.

• Further tasks:– fix the Near detector baseline design and perform full simulation;fix the Near detector baseline design and perform full simulation;– systematic errors coming from near-to-far extrapolation (migration matrices);– expectation on cross-section measurements; – other physics studies: electroweak parameters, PDFs, etc.;– sensitivity to non-standard interactions (τ-lepton production);– R&D efforts to validate technology (e.g. vertex detectors, tracking detectors,

etc.).

Page 30: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 30/30

Thanks for your attention!

Page 31: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 31/30

Back-up slides

Page 32: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 32/30

Flux extrapolation results

• Extrapolation near-to-far at Neutrino Factory: – Using the FD spectrum formula:

– Fit FD spectrum to predicted spectrum from ND:

NDNDnOscCPoscFDFD NMMPMN 113 ),(

Tijijiji j

ijij nNVnN 12

Fit improves at 3 levelComparison fitted 13 and with true values

Page 33: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 33/30

Simulation

GENIEhttp://www.genie-mc.org

arXiv:0905.2517

Near detector flux simulation

GEANT4

flux driver

(Simple) digitization

Reconstruction

ROOT file

ROOT file

μ+e+ e

Processes included in GENIE

Quasi-elastic scattering

Elastic NC scattering

Baryon resonance production in CC and NC

Coherent neutrino-nucleus

scattering

Non-resonant inelastic scattering (DIS)

Quasi-elastic charm production

Deep-inelastic charm production

Neutrino-electron elastic scattering and

inverse muon decay (IMD) C. Andreopoulos et al., The GENIE Neutrino Monte Carlo Generator, arXiv:0905.2517

Page 34: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 34/30

Properties of the neutrino beam

Simulation of the neutrino beam

Page 35: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 35/30

• Distributions of the neutrinos over their energy and polar angle at the

position of the near detector for the two polarizations of the decaying muons.

Quasielastic scattering off electrons

Page 36: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 36/30

Spectra at Near Detector

e

o Near Detector sees a line source (600 m long decay straight)o Far Detector sees a point source

e1 km

100 m

2500 km

2500 kmND

NDFD

FD

Need to take into account these differences for flux measurement

100 m

1 km

Page 37: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 37/30

Rela

tive

un

its

Neutrino flux per unit radius

Page 38: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 38/30

Monitoring of the muon beam polarization

The leptonoc interactions of the neutrinos can be used to monitor the polarization of the muon beam in the storage ring. The plot shows the number of leptonic events in 5 m long polystyrene detector as a function of the distance from the neutrino beam axis for three different polarizations of the muon beam in the storage ring and for 1021 muon decays (1 year). It is clear that the variation of the distribution of the events because of the different polarization of the muon beam is much bigger than the statistical errors.

Page 39: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 39/30

Page 40: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 40/30

• Charged current processes:

• Cross-section ~1.7x10-41 E(GeV) cm2, threshold = 11 GeV

• We cannot distinguish between the two channels so we measure N1(E) + N2(E):

Inverse Muon Decay

ee ee

)()()(1 EEEN CC

ee

W

ee

W

e

e

s

msGE FCC

e

222 )()(

213

1)()(

222

EEEE

s

msGE e

FCC

ee

)()()(2 EEEN CC

ee ee

Page 41: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 41/30

• Interference neutral and charged current processes:

• Cross-section 0.96x10-41 E(GeV) and 0.40x10-41 E(GeV) cm2 • We can only distinguish between the two channels since each come from a different muon decay:

• Accuracy of cross-section depends on sin2W

Electron-neutrino electron scattering

)()()(5 EEEN NCCC

ee ee

)()()(6 EEEN NCCC

ee ee

0Z

e e

ee

W

e

ee

e

ee ee

0Z

e e

ee

W

e

ee

e

ee ee

WWFNCCC

e

sGE

e

42

22

sinsin2

1

3

1)(

WWFNCCC

e

sGE

e

42

22

sin3

1sin

2

1)(

Page 42: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 42/30

• So, if we consider the IMD and neutrino elastic scattering channels together we obtain:– For the NF decay:

– We can extract the fluxes when we have IMD and elastic scattering:

– Below 11 GeV we cannot resolve since we only have N3+N6

Combination of all channels

ee

)()()()()()( 21 EEEEENEN CC

ee

CC

ee ee

NC

e

CC

e

CC

e

NCCC

e

CC

e

NCCC

e

e

ee

eeNNNN

E

)()()(

6321

)()()()()()( 63 EEEEENEN NCCC

ee

NC

ee ee

NC

e

CC

e

CC

e

NCCC

e

CC

e

NC

e

e

ee

e

NNNNE

)()()(

6321

Page 43: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 43/30

• So, if we consider the IMD and neutrino elastic scattering channels together we obtain:– For the NF decay:

– We cannot resolve the two fluxes because they are together:

• So, we can only resolve the fluxes when we are in an energy bin in which we have both IMD and elastic scattering for - decay. For + decay, we cannot resolve fluxes with this method – maybe we can do ratio of +/ - or fit shapes

• Are there any other neutrino processes that we can use?

• We need to look at these possibilities to extract final fluxes

Combination of all channels

ee

)()()()()()( 45 EEEEENEN NC

ee

NCCC

ee ee

Page 44: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 44/30

• Method for extracting neutrino fluxes at NF relies on using channels in which cross-sections are known very well theoretically

• Channels identified include:

– Inverse Muon Decay

– Muon-neutrino electron elastic scattering

– Electron-neutrino electron elastic scattering

• Combination of IMD+neutrino elastic scattering works very well for - decay above IMD threshold (11 GeV)

• For + decay cannot resolve two fluxes

• Might have to rely on fitting shapes or other processes (quasi-elastic scattering?)

Conclusions

Page 45: R. Tsenov, 4 August, 2011 Slide 1/30 Beam monitoring and Near detector requirements for a Neutrino factory or long baseline beams R. Tsenov, 4 August,

R. Tsenov, 4 August, 2011 Slide 45/30

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R. Tsenov, 4 August, 2011 Slide 46/30

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R. Tsenov, 4 August, 2011 Slide 47/30

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R. Tsenov, 4 August, 2011 Slide 48/30

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R. Tsenov, 4 August, 2011 Slide 49/30

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R. Tsenov, 4 August, 2011 Slide 50/30