Neutrinos in Astrophysics and Cosmology - INFN Sezione di Ferrara
Neutrinos in Astrophysics and Cosmology - INFN Sezione di Ferrara
Neutrinos in Astrophysics and Cosmology - INFN Sezione di Ferrara
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Dirac masses<br />
from coupl<strong>in</strong>g<br />
to st<strong>and</strong>ard<br />
Higgs field φ<br />
Lagrangian for<br />
particle masses<br />
⎛<br />
See-Saw See Saw Model for Neutr<strong>in</strong>o Masses<br />
Charged Leptons<br />
<strong>Neutr<strong>in</strong>os</strong><br />
L =<br />
− l L<br />
φ<br />
g l<br />
e<br />
R<br />
−<br />
l<br />
L<br />
φ<br />
g<br />
ν<br />
N<br />
R<br />
− N<br />
+<br />
h<br />
.<br />
c<br />
.<br />
mass<br />
⎞<br />
⎛ ν<br />
ν<br />
L<br />
( ν<br />
L<br />
) ⎜<br />
⎟ ⎜ ⎟ ⎠<br />
⎞<br />
c<br />
2 R R<br />
1 c<br />
−<br />
2 R MNR<br />
1 MN<br />
Heavy<br />
Majorana<br />
masses<br />
Mj > 1010 10 10 GeV<br />
N R<br />
⎜<br />
⎟ ⎜ Diagonalize<br />
( ν<br />
L ) ⎟<br />
⎝g<br />
g ν φ<br />
M<br />
⎠ ⎝<br />
N<br />
L N<br />
R<br />
⎜<br />
NR<br />
R<br />
⎜<br />
⎟<br />
⎝N<br />
N R<br />
⎠<br />
⎝<br />
0<br />
ν<br />
g<br />
φ<br />
⎠<br />
Light Majorana mass<br />
⎛ 2<br />
⎜ ν φ<br />
2<br />
⎜<br />
g<br />
2<br />
g φ<br />
2<br />
g<br />
2 2<br />
g<br />
2<br />
ν<br />
ν φ<br />
⎜ M<br />
L<br />
( ) ⎜ M<br />
M<br />
L<br />
⎟<br />
⎠<br />
⎞<br />
0<br />
⎟<br />
⎟<br />
⎛ ν<br />
⎝<br />
M<br />
⎟<br />
M<br />
⎟<br />
⎠<br />
Georg Raffelt, Max-Planck-Institut für Physik, München, Germany IDAPP 2d Meet<strong>in</strong>g, 12-13 May 2006, <strong>Ferrara</strong>, Italy<br />
⎜<br />
⎝<br />
0<br />
⎞
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