The Approach of
The Approach of
The Approach of
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Collaborators and some publications Introduction Action <strong>of</strong> the <strong>Approach</strong> Yukawa couplings and scalar fields <strong>The</strong> spinor represent<br />
I II III IV<br />
I a ±<br />
˜g m<br />
√<br />
2<br />
à +N +<br />
±<br />
II<br />
III<br />
˜g m<br />
√<br />
2<br />
à −N +<br />
±<br />
˜g 1<br />
√<br />
2<br />
à 1− ±<br />
IV 0<br />
− ˜g1 √<br />
2<br />
à 1+ ±<br />
a ± + 1 2 ˜g m (Ã 3N −<br />
± + Ã3N +<br />
± ) 0 − ˜g1 √<br />
2<br />
à 1+ ±<br />
0 a ± + ẽÃ ± + ˜ g ′ ˜Z ±<br />
˜g 1<br />
√<br />
2<br />
à 1− ±<br />
˜g m<br />
√<br />
2<br />
à −N +<br />
±<br />
0<br />
˜g m<br />
√<br />
2<br />
à +N +<br />
±<br />
a ± + ẽÃ ± + ˜ g ′ ˜Z ±<br />
+ 1 2 ˜g m (Ã 3N −<br />
± + Ã3N +<br />
± )<br />
<strong>The</strong> mass matrix for the lower four families <strong>of</strong> u-quarks (−) and d-quarks (+) is not assumed to be real and<br />
symmetric.<br />
We parameterize<br />
⎛<br />
⎜<br />
⎝<br />
⎞<br />
a ± b ± −c ± 0<br />
b ± a ± + d 1± 0 −c ±<br />
⎟<br />
c ± 0 a ± + d 2± b ± ⎠<br />
0 c ± b ± a ± + d 3±<br />
N.S. Mankoč Borštnik, Cape Town 2010, 01-06 February University <strong>of</strong> Ljubljana<br />
<strong>The</strong> <strong>Approach</strong> Unifying spins and charges
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