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IS THE NEUTRINO A MAJORANA OR A DIRAC PARTICLE ? Ettore Fiorini, Bologna June 17 2005 = or Lepton number conservation or violation Has neutrino a finite mass 100 % chirality


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IS THE NEUTRINO A MAJORANA OR A DIRAC PARTICLE ?

esign esign

Ettore Fiorini, Bologna June 17 2005

ν=ν− or νν− Lepton number conservation or violation Has neutrino a finite mass 100 % chirality ν ν− → → ⇐ ⇐ ⇐ ⇐

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The Standard Model

νe (νe ) νµ (νµ) ντ(ντ) Flavor conservation or violation Neutrino oscillations need mν 0

νe νµ νe ντ

) ) GeV/ ( E ) / L(km ) 2 (eV 2 ab m 27 . 1 ( 2 sin 2 2 sin ) b

  • a

P( MeV m ∆ > − θ ν ν

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Neutrino oscillations have been observed with solar, atmosperic and reactor neutrinos

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ATMOSPHERIC NEUTRINOS Superkamiokande and MACRO Reactor and long baseline experiments Neutrino factories

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  • 1. (A,Z) => (A,Z+2) + 2 e- + 2 ν

ν ν νe¯

  • 2. (A,Z) => (A,Z+2) + 2 e- + χ

χ χ χ ( …2,3 χ χ χ χ)

  • 3. (A,Z) => (A,Z+2) + 2 e-

But oscillation experiments only indicate that m But oscillation experiments only indicate that m ν

ν ν ν ν ν ν ν 2 2

to determine < to determine < m m ν

ν ν ν ν ν ν ν > => double beta decay

> => double beta decay

(A,Z+1) (A,Z) (A,Z+2)

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u e - d d e - W u ν ν ν νe ν ν ν νe

2ν ν ν ν - ββ ββ ββ ββ decay

W

0ν ν ν ν - ββ ββ ββ ββ decay

e- e- d d u u W W

e

ν

e

ν

Neutrinoless ββ decay

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Neutrinoless ββ decay would imply a non zero effective majorana neutrino mass as indicated by oscillation experiments

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Geochemical experiments

i82Se = > 82Kr, 96Zr = > 96Mo (?) , 128Te = > 128Xe (non confirmed), 130Te = > 130Te

Radiochemical experiments

238U = > 238Pu (non confirmed)

Experimental approaches

Direct experiments

Source = detector (calorimetric) Source ≠ ≠ ≠ ≠ detector

e- e- e- e-

source detector detector

Source ≠ Detector

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Incident particle absorber crystal heat bath Thermal sensor

Cryogenic detectors

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J/K 3 ) D T )( Vm V ( 1944 C

V

Τ =

2 T V C k E ξ = ∆

∆Ε @ 5 keV ~100 mk ~ 1 mg <1 eV ~ 5 eV @ 2 MeV ~10 mk ~ 1 kg <10 eV ~ keV

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m*ee (eV) < 6.0 > 1.8 × × × × 1022

48Ca

Osawa I. et al. 2002

Experim < 1.0

Belli et al. 2003

< 0.8 – 2.4 > 1.2 × × × × 1024

136Xe

Range mee τ τ τ τ1/2

0ν ν ν ν (y)

Isotope < 1.5

Mi DBD – ν ν ν ν 2002

< 0.9 – 2.1 > 2.1 × × × × 1023

130Te

< 1.0

Bernatowicz et al. 1993 (GEO)

< 1.0 – 4.4 > 7.7 × × × × 1024

128Te

< 1.7

Bizzeti et al. 2003

< 1.6 – 5.5 > 1.7 × × × × 1023

116Cd

< 4.8

Ejiri et al. 2001

< 1.4 - 256 > 5.5 × × × × 1022

100Mo

< 0.38

IGEX 2002

< 0.3 – 2.5 > 1.57 × × × × 1025 < 0.35

Heidelberg – Moscow 2001

< 0.3 – 2.5 > 1.9 × × × × 1025

76Ge

* Staudt, Muto, Klapdor-Kleingrothaus Europh. Lett 13 (1990) 31

Recent experiments on ββ0ν

The “Klapdor ” effect => Τ= 1.2 x 1025 a => <mν > ~ 0.44 eV

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Two new experiments NEMO III e CUORICINO

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Searches with thermal detectors

Cuoricino (Hall A)

CUORE (Hall A)

CUORE R&D (Hall C)

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Crescita della massa dei bolometri

year total mass [kg]

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11 modules, 4 detector each, crystal dimension 5x5x5 cm3 crystal mass 790 g 4 x 11 x 0.79 = 34.76 kg of TeO2 2 modules, 9 detector each, crystal dimension 3x3x6 cm3 crystal mass 330 g 9 x 2 x 0.33 = 5.94 kg of TeO2

Search for the 2β|oν in 130Te (Q=2529 keV) and other rare events At Hall A in the Laboratori Nazionali del Gran Sasso (LNGS)

18 crystals 3x3x6 cm3 + 44 crystals 5x5x5 cm3 = 40.7 kg of TeO2

Operation started in the beginning of 2003 => ~ 4 months

Background .18±.01 c /kev/ kg/ a

  • T 1/2

0ν ν ν ν (130Te) > 1.8x 1024 y <mν ν ν ν> .2 -1. 1

Klapdor 0.1 – 0.9

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Cosmological disfavoured region (WMAP) Direct hierarchy ∆

  • Inverse hierarchy

  • “quasi” degeneracy

≈ ≈

With the same matrix elements the Cuoricino limit is 0.53 eV

Present Cuoricino region

Possible evidence (best value 0.39 eV)

Feruglio F. , Strumia A. , Vissani F. hep-ph/0201291

Arnaboldi et al., submitted to PRL, hep-ex/0501034 (2005).

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The CUORE project

750 kg TeO2 => 600 kg Te => 203 kg 130Te

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The discovery of neutrino oscillations to which Masatoshi contributed so much exists and ∆ ∆ ∆ ∆m2 0 We need to determine the Majorana nature of the neutrino and the absolute value of <mν

ν ν ν >

Neutrinoless double beta decay would indicate not

  • nly lepton number violation , but also <

< < <mν

ν ν ν >

> > > 0 This process has been indicated by an experiment (Klapdor) with a value of ~0.44 eV but not confirmed by CUORICINO Future experiments on neutrinoless double beta decay will allow to reach the sensitivity predicted by

  • scillations

Their peculiar multiplinarity involves nuclear and e subnuclear physics , astrophysics , radioactivity, material science, geochronology etc