Overview of MiniBooNE Ray Stefanski Fermilab August 29, 2010 An - - PowerPoint PPT Presentation

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Overview of MiniBooNE Ray Stefanski Fermilab August 29, 2010 An - - PowerPoint PPT Presentation

Overview of MiniBooNE Ray Stefanski Fermilab August 29, 2010 An overview of backgrounds & systematic effects; concentrating on interaction cross-section measurements Rough Outline a.) detector configuration b.)sources of systematic


slide-1
SLIDE 1

Overview of MiniBooNE

Ray Stefanski Fermilab August 29, 2010

7th International Workshop on Neutrino Beams and Instrumentation

An overview of backgrounds & systematic effects; concentrating on interaction cross-section measurements Rough Outline a.) detector configuration b.)sources of systematic uncertainty b1.) flux b2.) x-sections b3.) reconstruction c.) MiniBooNE measurement d.) future

slide-2
SLIDE 2

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 2

per POT per POT second per pulses 5 15Hz @ ppp ν 10 10 22 22 ν 10 10 121 10 10 4 ~

μ 17 17

  • μ

17 17

  • 12

12

n interactio

λ 1.7 totals long radius each slugs target Beryllium cm 10.2 cm 0.48 7

pulses/s. 5 for Designed . : horn magnetic Focussing Hz 15 @ kA 170 beamline GeV 8

M’BooNE Schematic Geometry

air. with filled radius long : region Decay cm 90 m 50

n Collimatio absorber m 25

region.

  • uter veto

the in PMTs

  • f

array an and inward; facing PMTs 8" ,

  • f

array an with ed instrument is and sphere the with concentric is , radius

  • f

shell

  • paque

inner An . CH Marcol7

  • f

with filled target; from located radius;

  • f

sphere a is detector The

2

240 1280 cm 575 T 800 541m cm 610.6 . .

  • n

threshold 3

g/cm 0.86 0.68 1.47

SciBooNE ~100m from target L/E ~1, similar to LSND

slide-3
SLIDE 3

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 3

What constitutes an “event” in M’BooNE The ~1 GeV beam at M’BooNE results in interactions that are relatively low in outgoing multiplicity. The largest interaction channel is the l CCQE process l +n -> l + p, which accounts for ~40% of all the interactions in the M’BooNE detector. Since the recoil proton is typically below threshold, only the outgoing lepton, or

0 for NC interactions, produces significant light.

While the recoiling nucleon can produce significant scintillation light, this additional source of light is not considered in the reconstruction.

slide-4
SLIDE 4

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 4

What constitutes an “event” in M’BooNE

If we define a “hit” as a PMT with a signal above threshold, then we eliminate many backgrounds with a simple set of cuts.

slide-5
SLIDE 5

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 5

What constitutes an “event” in M’BooNE

An event display:

  • each bubble represents a PMT “hit”;
  • charge -> bubble size;
  • time -> color;
  • range is early;

blue comes later. time cluster

event 1ST subevent 2nd subevent

e

e 

e

  • PMT hits separated into time clusters
  • Reconstruct Cherenkov rings and arrange in time.

CCQE events must contain 1 & only 1 subevent. 146,070 CCQE events with 5.58 X 1020 POT efficiency = 27% purity = 77 %

slide-6
SLIDE 6

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 6

Understanding the detector: response of the oil to

Absorption B3. dependence c. response temperal b. isotropy a. nce Fluorecse B2. dependence c. cos 1 b. (prompt) response temperal a. (Rayleigh) Scattering B1.

  • n

Propagati

4 2

response temperal b. dE/dx a. ion Scintillat A2. dependence light Cherenkov A1. Creation

devices multiple B3 B2; B1; (Fermilab) n Attenuatio B2 (JHU) py spectrosco Temperal B2 (Fermilab) py spectrosco nce Fluoresce B4 B1; ) (Princeton Goniometry (IUCF) w/p repeated A2 w/ ) (Fermiloab ion Scintillat A2 w/p (IUCF) ion Scintillat

  • il.

the

  • f

properties the

  • f

t Measuremen B2 1; laser B beam Pencil B2 ; light B1 laser Diffuse B2 A2; A1; muons Cosmic B2 A2; A1; electrons Michel ts measuremen time Run

slide-7
SLIDE 7

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 7

Understanding the detector: Energy dependence

slide-8
SLIDE 8

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 8 mode. in Horn mode. in Horn me. decay volu and area target in ns interactio tertiary includes Simulation 0.24 1.21 by prediction exceeds flux measured ns, interactio CCQE From . simulation flux neutrino based

  • Geant4

mode. in Horn mode. in Horn

bins. between ns correlatio include and energy

  • f

bins in calculated is matrix error complete The energy. MeV 800 ~ at flux peak the at error 9% ~ a in result which data, HARP the fit to spline a from derived are ies uncertaint error flux practice, In effects. target for thick account to extented ts, measuremen HARP the formula to Wang

  • Sanford

the

  • f

fit parameter 9 a

  • n

based ies uncertaint production published BooNE M' the are These Understanding the detector: Flux uncertainties – particle production

flux. predicted equals roughly flux measured ns, interactio CCQE From

slide-9
SLIDE 9

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 9

MeV. 788

  • f

energy mean with GeV) 3 ( /POT/cm 10 5.15 is flux integrated The

  • ns.

contributi various into grouped ies uncertaint l Fractiona (b) detector. BooNE M' at the flux Predicted (a)

2 10

  • E

Change in flux from

+ due to

dominant sources of systematic uncertainty: horn current; n-N qe x-sect.;

+ -N qe x-sect..

increased decreased & skin effect

mode. in Horn mode. in Horn

Understanding the detector: Flux uncertainties – beam properties

slide-10
SLIDE 10

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 10

Predictions from the NUANCE event generator for fractional

  • ccurrence of

interactions in neutrino mode. Resonant and coherent processes are included.

photons. and electrons for used is relations

  • f

set similar A MeV. 9 34 set to is and carbon in energy separation the is E where , E M M masses. muon and proton neutron, the are m and , M , M where ), cos m E E ( E 2 _ m Q , ] cos m E E ) M [( 2 ) M m ) M (( E ) M ( 2 E energy muon total the m T E : are s

  • bservable

reported Additional angle. g scatter5in muon energy kinetic muon T . hypothesis a assumin tion reconstruc track the from extracted Variables

B B ' 2 2 QE 2 2 2 2 ' 2 2 2 ' ' QE n n p n QE n p n n

Understanding the detector: cross-sections – NUANCE

scattering for y uncertaint ion normalizat section

  • cross

; 10 . 1.0 Nubar H

  • n

ns interactio EL NC and QE for mass axial ; 10 . 13 . 1 MA section cross resonant NC 0.947; pi0 RES sections.

  • x

production pion coherent CC NC, in mass axial 0.275; GeV 03 . 1 macoh factor scale blocking Pauli 0.012; 1.007 kappa energies. NE at MiniBoo known not well

  • section
  • cross

DIS 0.25; 1 dis FSI. and BF ) ( radiative .1245; 1.022 delrad section

  • cross

coherent NC 1; cog mode production pion

  • non

and N in mass axial GeV; 0.52 GeV 3 . 1 MA mode production 1 resonant in mass axial GeV; 0.275 GeV 1 . 1 MA spin proton to

  • n

contributi strange 0.10; model gas Fermi in momentum Fermi MeV; 30 MeV/c 220 p model gas Fermi in energy binding 9MeV; MeV 34 events EL NC and QE for mass axial ; 17 . 35 . 1 M : models NUANCE in used Constants

2 H QE N 1 F QE A

N s EB

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SLIDE 11

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 11

In the track based reconstruction, four signal patterns are used: 1. single electron track, 2. single muon track, 3. two tracks, 4. and two tracks with a

0 invariant mass.

The CH2 has and extinction length of ~20m, the radiation length is ~50cm, and exhibits a wide range of optical phenomena near the peak of the PMT sensitivity: 400 nm. Cherenkov light and scintillation light are accompanied by

  • 1. photon absorption;
  • 2. fluorescence; ( with several excitation/emission spectra and lifetimes)
  • 3. Rayleigh scattering;
  • 4. and Raman scattering.

Also, photon reflection from the surface of the tubes, and the surface of the main detector region must be considered in the simulations. The electronics dead time is ~ 300 ns. A Geant3-based Monte Carlo simulation serves as the main tool for developing reconstruction algorithm’s predictive models.

Understanding the detector: event reconstruction

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SLIDE 12

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 12

Understanding the detector: event reconstruction The quantities measured by the detector are: the number of PMTs that have recorded a light pulse – “hits” – the charge recorded on each PMT; and the time of the hit. . E : energy kinetic The ; , : direction the ; t : time starting The ; z , y , x : point starting The : produced is , , variables seven ith a vector w , quantities measured these From x In simulation, the flux, cross-section model (NUANCE), and detedtor characteristics are combined to convert an event type as input to generation

  • f a set of PMT hits with associated time and charge. The simulation

and data are passed through the same reconstruction routines to generate x, which is used to test our ability to reproduced the data in simulation.

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SLIDE 13

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 13

MiniBooNE event reconstruction – particle identification:

The process leads to the development of negative log-likelihoods for each of the fitted hypothesis. If Le, L , and L are the maximized likelihoods returned by the electron, muon, and (fixed-mass) two-track fits, respectively, then the ratios Re/ = log Le - log L and Re/ = log Le - log L , can be used as a test of the electron hypothesis, compared to a

  • r

0 .

The events undergo pre-selection based on:

  • a. only one time cluster is present in the event, to eliminate Michel electrons from

decay.

  • b. more than 200 hits in the main detector, to eliminate cosmic rays,
  • c. less than 6 hits in the veto region also to eliminate cosmic rays.
  • d. the event must also occur in the Booster beam window.
slide-14
SLIDE 14

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 14

cross sections: Llewellyn Smith

s. experiment scattering neutrino from determined is M

  • 1.267.

g

  • f

value the fixes decay beta Neutron s. experiment scattering electron presision in measured are F and F factors, form vector the

  • f

dependence Q The . parameters emperical are M and , g , M and moments, magnetic anomalous neutron and proton the are and mass, pion the is m where , 2M F and ), M Q /(1 g F , ) / 1 )( 1 ( ) ( F and , ) / 1 )( 1 ( ) 1 ( 1 F by given are , and factors, form vector two The . 4 where ), ( 4 1 ) ( ]] ) 1 ( 4 ) 2 ( ) [( 4

  • 4

) 1 ( ) 1 ( ) 1 [( ) ( parameters the in explicit is dependence Q The n. interactio the in produced lepton charged the

  • f

mass the with 4ME u)

  • (s

and energy, neutrino incident the is E mass, nucleon the is M constant, Fermi the is G transfer, momentum

  • 4

squared the is Q , scattering rino (anti)neut to refers

  • )

( where, , ) ( 8

A 2 1 2 A A V 2 2 2 P 2 A 2 A A 2 2 2 2 2 2 2 1 2 1 2 2 2 2 1 2 2 1 2 2 2 2 2 2 1 2 2 2 2 1 2 2 2 1 2 2 2 2 2 2 2 F 2 4 2 2 2 2 2 A n P l n P l n P A A P P A l l A l l l F

Q m m Q m Q F F M Q F F F C F F F M Q B F F F F F M m m F F F F F M Q m A A, B, C. m m Q C M u s M u s A E M G dQ d 

slide-15
SLIDE 15

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 15

Results: cross sections in NUANCE CCQE measurements (not M’BooNE )on a variety

  • f targets compared to the

Llewellyn Smith prediction from NUANCE with Mv = 0.84 GeV, MA = 1.0 GeV, and gA =-1.26(solid). Also shown is prediction on carbon from another model – the Smith-Moniz relativistic Fermi gas model.

slide-16
SLIDE 16

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 16

cross-sections: Pauli suppression In the RFG model, “Pauli-blocking” causes a suppression in the cross-section for low values of the momentum transfer, Q2. The struck nucleon is forbidden from entering a state already occupied by one

  • f the spectator nucleons in the
  • interaction. In the previous slide, the

CCQE prediction on neutrons bound in carbon using this model. is a measure of the Pauli-blocking, and is normally set to 1. To get out of the nucleus, the final state lepton must have p > pF

slide-17
SLIDE 17

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 17

. 38 / . 47 / ; 012 . 007 . 1 GeV/c 17 . 35 . 1 M : parameters model yields sample subevent 2 fit to

  • nly
  • Shape

2 2 eff A

dof

. for M value average

  • best world

the indicates circle work.The previous the from countour and point fit best the indicates star

  • pen

The work. this from extracted countour and point fit best the is star filled .The vs. for M plot countour 1 A

A eff A

and

eff A

M

2 error ellipses are shown for the previous work – the larger is the total uncertainty included in the previous paper.

slide-18
SLIDE 18

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 18

errors. shape the represent bands lighter the and values, measured reresent bars Dark process. CCQE for the neutron per target section cross al differenti double integrated Flux Results: cross sections: Provide differential cross-sections , correctly normalized with a predicted flux (not normalized to a different reaction channel in the same data. Based on the world’s largest sample of CCQE events(~150,000) @ 1 GeV region.

slide-19
SLIDE 19

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 19

Results: cross sections

nucleons. free from scattering for and variations parameter different 2 with model RFG a for s prediction are shown Also NOMAD. and LSND, from results with along shown is range energy larger a (b), In bars. error total the with along boxes shaded as shown are errors shape (a), In Energy.

  • f

function a as neutron per CCQE unfolded Flux

slide-20
SLIDE 20

The excess over predicted background for E QE <475 MeV cannot be explained as an oscillation

  • signal. It’s origin is not understood,

2 independent blind analyses were performed: Track Based Analysis (TBA); Boosted Decision Tree (BDT) Prior to box-opening, the collaboration decided to present TBA, which had somewhat better sensitivity. BDT analysis was used as a confirmation of the TBA.

appearance

. hypothesis n

  • scillatio

2 al convention a fit not does excess This ) (3.0 3 . 38 20.4 128.8 exists events candidate

  • f

excess an MeV 475

e QE

E

) 4 , 10 2 (sin : fit best for the 99% is y probabilit The 5%. ~ is LSND ity with Compatibil . hypothesis null for the % 93 is y probabilit the in fit n

  • scillatio

The 36 19 22 :

  • f

events candidate

  • f

excess subtracted background a is There MeV 3000 E 475 For E

2 2 3 2 2 2 e QE QE

eV m

Results: neutrino oscillation

slide-21
SLIDE 21

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 21

The future: Short baseline experiment concentrate, to some extent

  • n searching for signs of non-interacting, or sterile neutrinos.

Many models have been proposed that profess the possible existence of this exotic form of matter. For example, the possible existence of a V+A world concurrent with

  • urs, but not interacting because of the inverse chirality*.

More sensitive experiments, that extend current measurements to smaller values of sin2(2 ), may be the only method by which we can probe this otherwise invisible world.

* See for example, Introduction to Sterile Neutrinos, Raymond R. Volkas – hep-ph/0111326 – 26 Nov 2001

soredake

slide-22
SLIDE 22

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 22

Backup slides

slide-23
SLIDE 23

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 23

appearance

appearance

slide-24
SLIDE 24

MiniBooNE

. 10 3.39 1st the in than POT 10 2.27 last the in higher 1.9 was rate Event 0.6% is fit n

  • scillatio

best the

  • f

likelihood the fit to

  • nly

background the

  • f

likelihood the

  • f

ratio the

  • f

y probabilit The ) eV 64 . , 96 . ( ) , 2 (sin fit. best for the 8.7%

  • f

y probabilit a yields range energy MeV 1250 E 475 the in fit n

  • scillatio

The 14.0. 20.9 :

  • bserved

is events

  • f

excess An : Fit Region

20 20 2 2 2 2 QE

m

The analysis was performed with the same tools as the TBA analysis, and the addition of a minimum likelihood fitting process. The Boosted Decision Tree (BDT) analysis is still being pursued for the anti-neutrino data.

. 3 . 4 1 18.5 : events

  • f

excess an is there MeV 475 For EQE

appearance

figures these in included not were excess energy low from events 12 78% 22% events CCQE 24,771 POT 10 33 . 5

20

slide-25
SLIDE 25

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 25

Moment Magnetic Neutrino Muon the

  • n

Limit n Productio Coherent Ratio Section Cross /QE CC sections cross production single NC and section

  • cross

Elastic NC beam axis

  • ff

NuMI the with Analysis Supernovae Collapse

  • Core

for Search SciBooNE with analysis combined analysis nce disappeara / : talk this in covered not MiniBooNE from More

slide-26
SLIDE 26

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 26

Processes available in NUANCE: Particle lifetimes & producing decay modes with their branching rations

Understanding the detector: cross-sections – NUANCE

slide-27
SLIDE 27

A little review:

3 2 1 13 23 13 23 12 23 12 13 23 12 23 12 13 23 13 23 12 23 12 13 23 12 23 12 13 13 12 13 12

c c e s c s s c e s c c s s c s e s s s c c s s c c s e s c s c c

i i i i e

) cos( ) sin(

ij ij ij ij

c s

2009 12, November Albright, Carl ) 010 . 016 . ( 0046 . sin 644 . 466 . 331 . sin 375 . 312 . 263 . sin 81 . 2 39 . 2 06 . 2 ) 10 ( 19 . 8 67 . 7 14 . 7 ) 10 ( ) ( limit upper 2 best value limit lower 2

13 2 23 2 12 2 2 3 2 2 5 . . 2

eV m eV m

atm A L sun

992 . cos 13 . sin 73 . cos 68 . sin 83 . cos 56 . sin : fit values Best

13 13 23 23 12 12

5 . 33 . 17 . 5 . 33 . 17 . 33 . 67 . ) | (|

2 3 2 1

e Ul

Tri-bimaximal mixing:

53 . 38 . 09 . 46 . 31 . 23 . 016 . 31 . 68 . ) | (|

2 3 2 1

e Ul

Plugging in the best fit values: Normal & inverted hierarchy Majorana condition? =

C

2- decay

m13

2 = m12 2 + m23 2

2 2

eV 2 / 1 additional for room No

LSND

m

e

2 3

m

2 2

m

2 1

m

atmospheric solar solar atmospheric 2

m

5

10 9 . 7 ~

5

10 9 . 7 ~

slide-28
SLIDE 28

e 2 s 1 s e 2 s 1 s

solar

5

10 9 . 7 ~

2 3

m

2 3

m

2 2

m

2 2

m

2 1

m

2 1

m

atmospheric solar atmospheric 2

m

2

m

CPT conserving

LSND LSND 2 3

m

2 3

m

2 2

m

2 2

m

2 1

m

2 1

m

atmospheric solar atmospheric 2

m

2

m

5

10 9 . 7 ~

LSND LSND Kamland Kamland 2 3

m

2 4

m

2 4

m

CPT violating

Sterile neutrinos

  • (3+1) schemes cannot accommodate existing measurements.
  • (3+2) schemes are still viable.
  • CPT non-conservation can apply to any (3+N) scheme.

Can also be part

  • f an inverted

hierarchy

slide-29
SLIDE 29

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 29

appearance /

MiniBooNE 90% CL limit (dark solid curve) compared to KARMEN and Bugey experiments. MiniBooNE 90% and 99% CL allowed regions compared to KARMEN and Bugey experiments.

slide-30
SLIDE 30

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 30

Savannah River Neutrino Detector, circa 1955

2

CdCl with doped targets, r liter wate 200 PMTs. 110 by viewed detectors,

  • r

scintillat liter 1,400

The detector weighted about 10 T. s. 3 ~ lifetime a has nucleus CdCl excited The ) 2 . 2 ( : shower EM : e e : pair Dalitz ) 2 . 2 ( : detector In .

  • f

beam intense an creates reactor in decay β

2

MeV MeV d p n n e p

e e

This technique is still used in reactor experiments, the observation of two distinct signatures separated in time by a known amount.

A.

  • V
  • f

discovery to prior decay inverse cm 10 6 / 10 flux MeV 3 E 4/1 ~ S/N : attributes

2 44

  • 2

3

s cm

e

slide-31
SLIDE 31

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 31

Cherenkov Emission Profiles generated in simulation. Scintillation Emission Profiles generated in simulation.

NC 0 NC 0

To these we must add the effects of indirect light from scattering, fluorescence, etc. MiniBooNE Sources of systematic uncertainties: charge likelihood

slide-32
SLIDE 32

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 32

Distribution of corrected time for direct light, can be fit a with Gaussian mean and width. For 300 MeV muons, the mean and width parameters from fits like those above vs. direct Cherenkov predicted charge. Parameterized tc likelihood distributions as a function of predicted charge. Scintillation light E0 = 1500 MeV Cherenkov light Internal fit parameters for (a) a single track and (b) two photon tracks. Each photon track contains a conversion distance parameter s. MiniBooNE event reconstruction – time likelihood:

Using the known optical photon and Particle optical properties of the detector, one determines for a given particle type (e/ ) and a set of track parameters, the average number of pe’s that a particular PMT should observe. This quantity is referred to as the predicted charge.

slide-33
SLIDE 33

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 33

slide-34
SLIDE 34

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 34

Birk’s Law

slide-35
SLIDE 35

ns

  • scillatio

as d interprete be might which ) (3.8 6.0 22.4 87.9 events

  • f

excess an

  • bserved

LSND

e e

Beam-related backgrounds Expectation for

  • scillations

( m2=0.24 eV2)

Liquid Sscintillator Neutrino Detector

  • Similar in technique to reactor experiments
  • A source of stopping

‘s

  • Energy spectrum of all decay products well known
  • 2.2 MeV from neutron capture rejects

e

) 2 . 2 ( MeV d p n n e p e

e e

  • scillation

decay inverse cm 10 MeV 50 E 4/1 ~ S/N : attributes

2 42

  • 800 MeV energy 1-mA intensity

167 T mineral oil 14 lbs of scintillating material 1220 PMTs accidental are backgrounds. Similar experiments that fail to observe the LSND result: BNL E776(counter) Karmen(ISIS) Bugey(reactor)

i i

m . eV 2 . 1 17 . masses. the

  • f

sum the

  • n

limit upper an places data alpha Lyman ans SDSS, WMAP, combined from determined scale, mass absolute The

2

slide-36
SLIDE 36

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 36

slide-37
SLIDE 37

The smallness of the neutrino mass may be the result of mixing between Dirac and Majorana mass terms in the Electroweak Lagrangian. If we assume no Majorana neutrinos, the Lagrangian takes the form:

This is basically a talk about sterile neutrinos: Let’s look first at the See-Saw mechanism

; ; ) (

D R R L L R L L R D D R L R L

m m L

where , m i L

c R L R D D L R c L c L L L c L R c R R R c R R R L L R D R L L R D M R M L c R L c R R R c R R M R c L R c L L L c L R M L L T c R L T L c L R

N N m m m m N N m m m m m m C C 2 1 ) ( 2 1 ) ( 2 1 ) ( 2 1 ) ( 2 1 : four terms

  • f

sum a get we terms, Majorana and Dirac the combine we When ; ) ( 2 1 ; ) ( 2 1 : gin EW Lagran the into terms mass new introduces This les. antipartic ing correspond the as same the are particles Majorana is, That

  • perator.

n conjugatio charge the is C where , ; neutrino

  • anti

its as particle same the is neutrino that the states condition Majorana The

D M D *

L L L L L L

0. assumed we where ; ; ; 2 2 tan

2 2 1 L R D R L R D

m m m m m m m m m

When we diagonalize the mass matrix we get a see-saw configuration:

. ph/0302238

  • hep

Laveder and Giunti

slide-38
SLIDE 38

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 38

slide-39
SLIDE 39

Example: Sterile neutrinos can enter SUSY models through the See-Saw mechanism

Takahashi and Tanimototo [arXiv:07040186] The authors developed a model using the mass varying neutrinos of Fardon, Nelson & Weinner, JCAP, 0410, 005 (2004), in which the left handed Majorana is also massive, and a sterile neutrino plays a part. The authors assume a chiral super-field, A, in dark matter. The superfield A couples to both the left-handed lepton doublet super-field L, and the right-handed neutrino super-field R. The authors introduce a scalar potential of the form: 2 4 ) ( 2 m 2 4 ) ( 2 m : form the

  • f

s eigenvalue mass yields and n), ( basis the in , : becomes matrix mass The . . : an a Lagrangi to leads , | | | | | | 4 )

2 2 2 2 2 2 2 2 L 2 2 2 2 2 4 2

L

D A R D A R D n D A R D A R D A D D R D R R R R D L D L A a D A

m M M M M M M m M M M M M M M m m M M c h M M n m n nM n n m M V(φ M L is a coupling constant MA , MD , MR , and mD are mass parameters The scalar and spinor component of A are and n. The scalar component corresponds to the acceleron causing the present cosmic acceleration. The spinor component n is a sterile neutrino.

slide-40
SLIDE 40

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 40

data. production fit to by the determined parameters are c and proton, incident the

  • f

momentum the is p muon, the

  • f

momentum total the is p section, cross al differenti double the is where , cos ( exp 1 ) , (

1,....,9 B 2 7 6 3 9 1 2

8 8 4 2

dpd d p c p c p p c c p p p c p dpd d

c B c B c B c

Understanding the detector: Sanford-Wang formula

slide-41
SLIDE 41
slide-42
SLIDE 42

August 29, 2010 7th International Workshop on Neutrino Beams and Instrumentation 42

Results: cross sections:

ion. reinteract

  • hadronic

for corrected been not have data The . simulation with compared ies, uncertaint systmatic and l statistica both including , CH

  • n

ratio section

  • cross

like

  • like/CCQE
  • CC1

Observed

2

ratio CCQE / CC ratio CCQE / CC